84:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Funciones racionales y cónicas:@0.073089:0.043661:0.343993:0.043661:0.343993:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.1 Función racional:@0.293660:0.280233:0.451351:0.280233:0.451351:0.263286:0.293660:0.263286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.293660:0.307595:0.372241:0.307595:0.372241:0.290926:0.293660:0.290926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean :@0.372241:0.307595:0.419290:0.307595:0.419290:0.291883:0.372241:0.291883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p, q:@0.419290:0.307595:0.444084:0.307595:0.444084:0.292160:0.419290:0.292160:0.000000:0.000000:0.000000:0.000000
 dos funciones polinomiales. La función real  , definida como:@0.444084:0.307595:0.886241:0.307595:0.886241:0.291883:0.444084:0.291883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.767478:0.307595:0.772171:0.307595:0.772171:0.292160:0.767478:0.292160:0.000000
f    ;  q    , :@0.468916:0.338577:0.567230:0.338583:0.567230:0.323148:0.468916:0.323142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.476923:0.338022:0.492256:0.338022:0.492256:0.324306:0.476923:0.324306:0.000000
p:@0.499669:0.329946:0.508928:0.329946:0.508928:0.314510:0.499669:0.314510:0.000000
q:@0.499006:0.344175:0.508265:0.344175:0.508265:0.328739:0.499006:0.328739:0.000000
?:@0.532956:0.339124:0.548289:0.339124:0.548289:0.323952:0.532956:0.323952:0.000000
0 se llama función racional.:@0.551603:0.338583:0.751651:0.338583:0.751651:0.322870:0.551603:0.322870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota que la función polinomial   no es nula. Además, de la definición de la función   se :@0.293662:0.365945:0.930939:0.365945:0.930939:0.350232:0.293662:0.350232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.524618:0.365945:0.533876:0.365945:0.533876:0.350510:0.524618:0.350510:0.000000
f:@0.902482:0.365945:0.907176:0.365945:0.907176:0.350510:0.902482:0.350510:0.000000
sigue que::@0.293662:0.382587:0.369003:0.382587:0.369003:0.366874:0.293662:0.366874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.507057:0.416619:0.524084:0.416619:0.524084:0.401184:0.507057:0.401184:0.000000:0.000000:0.000000
( )   :@0.511751:0.416619:0.552357:0.416619:0.552357:0.400907:0.511751:0.400907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.532993:0.416065:0.548326:0.416065:0.548326:0.402349:0.532993:0.402349:0.000000
p x:@0.556444:0.406733:0.578035:0.406733:0.578035:0.391297:0.556444:0.391297:0.000000:0.000000:0.000000
( ):@0.565703:0.406733:0.582913:0.406733:0.582913:0.391020:0.565703:0.391020:0.000000:0.000000:0.000000
q x:@0.555781:0.423486:0.577373:0.423486:0.577373:0.408050:0.555781:0.408050:0.000000:0.000000:0.000000
( ):@0.565040:0.423486:0.582251:0.423486:0.582251:0.407773:0.565040:0.407773:0.000000:0.000000:0.000000
;  ( ) :@0.585537:0.416622:0.623272:0.416622:0.623272:0.400909:0.585537:0.400909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x:@0.592771:0.416622:0.614363:0.416622:0.614363:0.401187:0.592771:0.401187:0.000000:0.000000:0.000000
?:@0.623272:0.417163:0.638605:0.417163:0.638605:0.401991:0.623272:0.401991:0.000000
  , x :@0.638605:0.416622:0.677095:0.416622:0.677095:0.401187:0.638605:0.401187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0    :@0.641919:0.416622:0.666327:0.416622:0.666327:0.400909:0.641919:0.400909:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.677095:0.416483:0.697030:0.416483:0.697030:0.402435:0.677095:0.402435:0.000000:0.000000
:@0.697030:0.415762:0.710320:0.415762:0.710320:0.402865:0.697030:0.402865:0.000000
,:@0.710320:0.416622:0.713523:0.416622:0.713523:0.400909:0.710320:0.400909:0.000000
de la que obtenemos el dominio de la función  , es decir,:@0.293653:0.443984:0.707796:0.443984:0.707796:0.428271:0.293653:0.428271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.637241:0.443984:0.641935:0.443984:0.641935:0.428549:0.637241:0.428549:0.000000
Dom (f)    x :@0.507472:0.471346:0.600390:0.471346:0.600390:0.455911:0.507472:0.455911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.566097:0.470791:0.581431:0.470791:0.581431:0.457076:0.566097:0.457076:0.000000
{:@0.584744:0.471346:0.589622:0.471346:0.589622:0.455633:0.584744:0.455633:0.000000
 :@0.600390:0.471207:0.620325:0.471207:0.620325:0.457159:0.600390:0.457159:0.000000:0.000000
 :@0.620325:0.470486:0.638217:0.470486:0.638217:0.457589:0.620325:0.457589:0.000000:0.000000
|  ( )   0}.:@0.638217:0.471346:0.713079:0.471346:0.713079:0.455633:0.638217:0.455633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x:@0.646150:0.471346:0.667742:0.471346:0.667742:0.455911:0.646150:0.455911:0.000000:0.000000:0.000000
?:@0.676651:0.471887:0.691985:0.471887:0.691985:0.456715:0.676651:0.456715:0.000000
Supongamos que   es un polinomio de grado  . Un número real :@0.293653:0.498708:0.839134:0.498708:0.839134:0.482995:0.293653:0.482995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.440967:0.498708:0.450226:0.498708:0.450226:0.483273:0.440967:0.483273:0.000000
n:@0.685341:0.498708:0.694840:0.498708:0.694840:0.483273:0.685341:0.483273:0.000000
a:@0.845300:0.498153:0.856547:0.498153:0.856547:0.484437:0.845300:0.484437:0.000000
,:@0.856547:0.498708:0.859879:0.498708:0.859879:0.483273:0.856547:0.483273:0.000000
 tal que  :@0.859879:0.498708:0.930949:0.498708:0.930949:0.482995:0.859879:0.482995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.293672:0.515350:0.302931:0.515350:0.302931:0.499914:0.293672:0.499914:0.000000
( ) :@0.302931:0.515350:0.327965:0.515350:0.327965:0.499637:0.302931:0.499637:0.000000:0.000000:0.000000:0.000000
a 5:@0.307809:0.514795:0.348636:0.514795:0.348636:0.501079:0.307809:0.501079:0.000000:0.000000:0.000000
  ,:@0.348636:0.515350:0.368645:0.515350:0.368645:0.499914:0.348636:0.499914:0.000000:0.000000:0.000000
0  se llama raíz del polinomio  , con lo que   se expresa en la forma :@0.356330:0.515350:0.930986:0.515350:0.930986:0.499637:0.356330:0.499637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.604165:0.515350:0.613424:0.515350:0.613424:0.499914:0.604165:0.499914:0.000000
q:@0.724310:0.515350:0.733568:0.515350:0.733568:0.499914:0.724310:0.499914:0.000000
 :@0.926918:0.515350:0.930949:0.515350:0.930949:0.499637:0.926918:0.499637:0.000000
q x:@0.293672:0.531992:0.315264:0.531992:0.315264:0.516556:0.293672:0.516556:0.000000:0.000000:0.000000
( ) :@0.302931:0.531992:0.324173:0.531992:0.324173:0.516279:0.302931:0.516279:0.000000:0.000000:0.000000:0.000000
5:@0.327983:0.531437:0.343316:0.531437:0.343316:0.517721:0.327983:0.517721:0.000000
  x :@0.343316:0.531992:0.365405:0.531992:0.365405:0.516556:0.343316:0.516556:0.000000:0.000000:0.000000:0.000000
(:@0.349759:0.531992:0.354637:0.531992:0.354637:0.516279:0.349759:0.516279:0.000000
2 a:@0.368534:0.531437:0.401557:0.531437:0.401557:0.517721:0.368534:0.517721:0.000000:0.000000:0.000000
 :@0.383867:0.531992:0.387181:0.531992:0.387181:0.516556:0.383867:0.516556:0.000000
) ( ):@0.401557:0.531992:0.435371:0.531992:0.435371:0.516279:0.401557:0.516279:0.000000:0.000000:0.000000:0.000000:0.000000
 r x , x :@0.406435:0.531992:0.455913:0.531992:0.455913:0.516556:0.406435:0.516556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.459043:0.531853:0.478978:0.531853:0.478978:0.517804:0.459043:0.517804:0.000000:0.000000
:@0.483322:0.531132:0.496612:0.531132:0.496612:0.518234:0.483322:0.518234:0.000000
, :@0.496612:0.531992:0.503257:0.531992:0.503257:0.516556:0.496612:0.516556:0.000000:0.000000
siendo   un polinomio de grado :@0.506386:0.531992:0.762339:0.531992:0.762339:0.516279:0.506386:0.516279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.563541:0.531992:0.568823:0.531992:0.568823:0.516556:0.563541:0.516556:0.000000
n :@0.766131:0.531992:0.778942:0.531992:0.778942:0.516556:0.766131:0.516556:0.000000:0.000000
2:@0.782072:0.531437:0.797405:0.531437:0.797405:0.517721:0.782072:0.517721:0.000000
 :@0.797405:0.531992:0.800718:0.531992:0.800718:0.516556:0.797405:0.516556:0.000000
1. Consecuente-:@0.803847:0.531992:0.926955:0.531992:0.926955:0.516279:0.803847:0.516279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente, el dominio de la función   está constituido por todos los números reales :@0.293709:0.548633:0.930984:0.548633:0.930984:0.532921:0.293709:0.532921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.556360:0.548633:0.561054:0.548633:0.561054:0.533198:0.556360:0.533198:0.000000
que no son raíces del polinomio  . En particular, si  ( ) ≠ 0, :@0.293709:0.565275:0.756522:0.565275:0.756522:0.549563:0.293709:0.549563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.549183:0.565275:0.558442:0.565275:0.558442:0.549840:0.549183:0.549840:0.000000
q x:@0.689501:0.565275:0.711093:0.565275:0.711093:0.549840:0.689501:0.549840:0.000000:0.000000:0.000000
a:@0.759154:0.564720:0.770401:0.564720:0.770401:0.551005:0.759154:0.551005:0.000000
x:@0.770401:0.565275:0.777856:0.565275:0.777856:0.549840:0.770401:0.549840:0.000000
    , se sigue que :@0.777856:0.565275:0.931023:0.565275:0.931023:0.549563:0.777856:0.549563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.784538:0.565137:0.799871:0.565137:0.799871:0.551088:0.784538:0.551088:0.000000
:@0.806553:0.564415:0.819843:0.564415:0.819843:0.551518:0.806553:0.551518:0.000000
 :@0.926973:0.565275:0.931005:0.565275:0.931005:0.549563:0.926973:0.549563:0.000000
Dom (f) = :@0.293727:0.587284:0.366636:0.587284:0.366636:0.571849:0.293727:0.571849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.366636:0.586424:0.379926:0.586424:0.379926:0.573527:0.366636:0.573527:0.000000
, y  ( ) = :@0.379926:0.587284:0.440229:0.587284:0.440229:0.571571:0.379926:0.571571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.399291:0.587284:0.416318:0.587284:0.416318:0.571849:0.399291:0.571849:0.000000:0.000000:0.000000
p x:@0.444255:0.578702:0.465847:0.578702:0.465847:0.563267:0.444255:0.563267:0.000000:0.000000:0.000000
( ):@0.453514:0.578702:0.470725:0.578702:0.470725:0.562989:0.453514:0.562989:0.000000:0.000000:0.000000
q x:@0.443592:0.595455:0.465184:0.595455:0.465184:0.580020:0.443592:0.580020:0.000000:0.000000:0.000000
( ):@0.452851:0.595455:0.470062:0.595455:0.470062:0.579742:0.452851:0.579742:0.000000:0.000000:0.000000
,    :@0.473348:0.587292:0.492676:0.587292:0.492676:0.571579:0.473348:0.571579:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.492676:0.586737:0.504954:0.586737:0.504954:0.573021:0.492676:0.573021:0.000000
x:@0.504954:0.587292:0.512409:0.587292:0.512409:0.571856:0.504954:0.571856:0.000000
     está bien definido. :@0.512409:0.587292:0.695430:0.587292:0.695430:0.571579:0.512409:0.571579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.516440:0.587153:0.531773:0.587153:0.531773:0.573104:0.516440:0.573104:0.000000
:@0.535804:0.586432:0.549094:0.586432:0.549094:0.573534:0.535804:0.573534:0.000000
,:@0.549094:0.587292:0.552426:0.587292:0.552426:0.571856:0.549094:0.571856:0.000000
Si   tiene como raíces reales  , …,   con :@0.293657:0.614654:0.611326:0.614654:0.611326:0.598941:0.293657:0.598941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.310831:0.614654:0.320090:0.614654:0.320090:0.599218:0.310831:0.599218:0.000000
a:@0.507991:0.614099:0.519238:0.614099:0.519238:0.600383:0.507991:0.600383:0.000000
1:@0.519233:0.617826:0.524470:0.617826:0.524470:0.608665:0.519233:0.608665:0.000000
a:@0.558855:0.614099:0.570102:0.614099:0.570102:0.600383:0.558855:0.600383:0.000000
k:@0.570100:0.617826:0.574640:0.617826:0.574640:0.608665:0.570100:0.608665:0.000000
k   n:@0.612081:0.614654:0.652356:0.614654:0.652356:0.599218:0.612081:0.599218:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.623585:0.614099:0.638918:0.614099:0.638918:0.600383:0.623585:0.600383:0.000000
, el dominio de la función   es el sub-:@0.652356:0.614654:0.926918:0.614654:0.926918:0.598941:0.652356:0.598941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.846718:0.614654:0.851412:0.614654:0.851412:0.599218:0.846718:0.599218:0.000000
conjunto de  ::@0.293672:0.631295:0.403987:0.631295:0.403987:0.615583:0.293672:0.615583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.387494:0.630436:0.400784:0.630436:0.400784:0.617538:0.387494:0.617538:0.000000
Dom (f)    x :@0.444262:0.658657:0.537181:0.658657:0.537181:0.643222:0.444262:0.643222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.502889:0.658103:0.518222:0.658103:0.518222:0.644387:0.502889:0.644387:0.000000
{:@0.521535:0.658657:0.526413:0.658657:0.526413:0.642945:0.521535:0.642945:0.000000
 :@0.537181:0.658519:0.557116:0.658519:0.557116:0.644470:0.537181:0.644470:0.000000:0.000000
 :@0.557116:0.657797:0.575008:0.657797:0.575008:0.644900:0.557116:0.644900:0.000000:0.000000
|  ( )   0}       { , …,  },:@0.575008:0.658657:0.776318:0.658659:0.776318:0.642946:0.575008:0.642945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x:@0.582942:0.658657:0.604534:0.658657:0.604534:0.643222:0.582942:0.643222:0.000000:0.000000:0.000000
?:@0.613443:0.659198:0.628776:0.659198:0.628776:0.644026:0.613443:0.644026:0.000000
5:@0.650699:0.658103:0.666032:0.658103:0.666032:0.644387:0.650699:0.644387:0.000000
:@0.670063:0.657797:0.683353:0.657797:0.683353:0.644900:0.670063:0.644900:0.000000
\:@0.688183:0.658659:0.694588:0.658659:0.690911:0.642946:0.684505:0.642946:0.000000
a:@0.702686:0.658104:0.713933:0.658104:0.713933:0.644388:0.702686:0.644388:0.000000
1:@0.713933:0.661831:0.719170:0.661831:0.719170:0.652670:0.713933:0.652670:0.000000
a:@0.752581:0.658104:0.763828:0.658104:0.763828:0.644388:0.752581:0.644388:0.000000
k:@0.763828:0.661831:0.768239:0.661831:0.768239:0.652832:0.763828:0.652832:0.000000
y la función   queda definida como::@0.293662:0.686021:0.552136:0.686021:0.552136:0.670308:0.293662:0.670308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.382293:0.686021:0.386987:0.686021:0.386987:0.670585:0.382293:0.670585:0.000000
f x:@0.490785:0.718749:0.507812:0.718749:0.507812:0.703314:0.490785:0.703314:0.000000:0.000000:0.000000
( )   :@0.495479:0.718749:0.536085:0.718749:0.536085:0.703037:0.495479:0.703037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.516721:0.718195:0.532054:0.718195:0.532054:0.704479:0.516721:0.704479:0.000000
p x:@0.540180:0.710168:0.561772:0.710168:0.561772:0.694732:0.540180:0.694732:0.000000:0.000000:0.000000
( ):@0.549439:0.710168:0.566650:0.710168:0.566650:0.694455:0.549439:0.694455:0.000000:0.000000:0.000000
q x:@0.539517:0.726920:0.561109:0.726920:0.561109:0.711485:0.539517:0.711485:0.000000:0.000000:0.000000
( ):@0.548776:0.726920:0.565987:0.726920:0.565987:0.711208:0.548776:0.711208:0.000000:0.000000:0.000000
,       :@0.569274:0.718748:0.604117:0.718748:0.604117:0.703036:0.569274:0.703036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.592631:0.718748:0.600086:0.718748:0.600086:0.703313:0.592631:0.703313:0.000000
 :@0.604117:0.718610:0.624052:0.718610:0.624052:0.704561:0.604117:0.704561:0.000000:0.000000
:@0.624052:0.717888:0.637342:0.717888:0.637342:0.704991:0.624052:0.704991:0.000000
   { , …,  }.:@0.637342:0.718748:0.729785:0.718748:0.729785:0.703036:0.637342:0.703036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\:@0.642185:0.718748:0.648590:0.718748:0.644913:0.703036:0.638507:0.703036:0.000000
a:@0.656688:0.718193:0.667935:0.718193:0.667935:0.704478:0.656688:0.704478:0.000000
1:@0.667935:0.721921:0.673172:0.721921:0.673172:0.712760:0.667935:0.712760:0.000000
a:@0.706046:0.718193:0.717293:0.718193:0.717293:0.704478:0.706046:0.704478:0.000000
k:@0.717293:0.721921:0.721704:0.721921:0.721704:0.712922:0.717293:0.712922:0.000000
Más precisamente, como  (:@0.293662:0.746110:0.496712:0.746110:0.496712:0.730397:0.293662:0.730397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.482575:0.746110:0.491834:0.746110:0.491834:0.730675:0.482575:0.730675:0.000000
a 5:@0.496712:0.745555:0.537074:0.745557:0.537074:0.731841:0.496712:0.731840:0.000000:0.000000:0.000000
1:@0.507962:0.749284:0.513199:0.749284:0.513199:0.740123:0.507962:0.740123:0.000000
)    , … q:@0.513200:0.746111:0.592038:0.746111:0.592038:0.730676:0.513200:0.730676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.540737:0.746111:0.549720:0.746111:0.549720:0.730399:0.540737:0.730399:0.000000
,  ( )   0, se sigue que   ( ):@0.575122:0.746111:0.791007:0.746111:0.791007:0.730399:0.575122:0.730399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a 5:@0.596916:0.745557:0.637243:0.745557:0.637243:0.731841:0.596916:0.731841:0.000000:0.000000:0.000000
k:@0.608166:0.749284:0.612577:0.749284:0.612577:0.740285:0.608166:0.740285:0.000000
f:@0.760075:0.746111:0.764769:0.746111:0.764769:0.730676:0.760075:0.730676:0.000000
a:@0.769647:0.745557:0.780893:0.745557:0.780893:0.731841:0.769647:0.731841:0.000000
1:@0.780892:0.749284:0.786129:0.749284:0.786129:0.740123:0.780892:0.740123:0.000000
, … f:@0.791007:0.746111:0.833215:0.746111:0.833215:0.730676:0.791007:0.730676:0.000000:0.000000:0.000000:0.000000:0.000000
,   ( ) no están :@0.816409:0.746111:0.930938:0.746111:0.930938:0.730399:0.816409:0.730399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.838093:0.745557:0.849340:0.745557:0.849340:0.731841:0.838093:0.731841:0.000000
k:@0.849345:0.749284:0.853756:0.749284:0.853756:0.740285:0.849345:0.740285:0.000000
definidos.:@0.293660:0.762753:0.364894:0.762753:0.364894:0.747041:0.293660:0.747041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El gráfico de   se denota con  (  y se define como el conjunto:@0.293660:0.790115:0.749405:0.790115:0.749405:0.774403:0.293660:0.774403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.387740:0.790115:0.392433:0.790115:0.392433:0.774680:0.387740:0.774680:0.000000
G f):@0.504865:0.790115:0.532163:0.790115:0.532163:0.774680:0.504865:0.774680:0.000000:0.000000:0.000000:0.000000
G f)    (x,  f x:@0.481985:0.817477:0.575438:0.817477:0.575438:0.802042:0.481985:0.802042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.492882:0.817477:0.497760:0.817477:0.497760:0.801764:0.492882:0.801764:0.000000
5:@0.512596:0.816922:0.527929:0.816922:0.527929:0.803207:0.512596:0.803207:0.000000
{:@0.531243:0.817477:0.536120:0.817477:0.536120:0.801764:0.531243:0.801764:0.000000
( )) | :@0.563106:0.817477:0.597159:0.817477:0.597159:0.801764:0.563106:0.801764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.597159:0.817477:0.607927:0.817477:0.607927:0.802042:0.597159:0.802042:0.000000:0.000000
 :@0.607927:0.817338:0.627862:0.817338:0.627862:0.803290:0.607927:0.803290:0.000000:0.000000
:@0.627862:0.816617:0.641152:0.816617:0.641152:0.803720:0.627862:0.803720:0.000000
 \ { , …,  }}.:@0.641152:0.817477:0.738592:0.817480:0.738592:0.801767:0.641152:0.801764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.660498:0.816922:0.671745:0.816922:0.671745:0.803207:0.660498:0.803207:0.000000
1:@0.671735:0.820652:0.676972:0.820652:0.676972:0.811492:0.671735:0.811492:0.000000
a:@0.709848:0.816925:0.721095:0.816925:0.721095:0.803209:0.709848:0.803209:0.000000
k:@0.721095:0.820652:0.725634:0.820652:0.725634:0.811492:0.721095:0.811492:0.000000
1.2 Asíntotas:@0.293652:0.845854:0.395326:0.845854:0.395326:0.828907:0.293652:0.828907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Significado de :@0.293652:0.873216:0.406378:0.873216:0.406378:0.856546:0.293652:0.856546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.406378:0.873216:0.414495:0.873216:0.414495:0.856533:0.406378:0.856533:0.000000
 →:@0.414495:0.872800:0.437265:0.872800:0.437265:0.855811:0.414495:0.855811:0.000000:0.000000
 0,      :@0.437265:0.873216:0.496316:0.873216:0.496316:0.856546:0.437265:0.856546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.462225:0.873216:0.470343:0.873216:0.470343:0.856533:0.462225:0.856533:0.000000
→:@0.474245:0.872800:0.492413:0.872800:0.492413:0.855811:0.474245:0.855811:0.000000
x:@0.496316:0.873216:0.503771:0.873216:0.503771:0.857781:0.496316:0.857781:0.000000
0:@0.503769:0.876387:0.509274:0.876387:0.509274:0.866669:0.503769:0.866669:0.000000
1:@0.509274:0.866830:0.518213:0.866830:0.518213:0.858834:0.509274:0.858834:0.000000
,      :@0.518212:0.873215:0.563917:0.873215:0.563917:0.856545:0.518212:0.856545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529827:0.873215:0.537944:0.873215:0.537944:0.856531:0.529827:0.856531:0.000000
→:@0.541847:0.872799:0.560015:0.872799:0.560015:0.855810:0.541847:0.855810:0.000000
x:@0.563917:0.873215:0.571372:0.873215:0.571372:0.857779:0.563917:0.857779:0.000000
0:@0.571369:0.876387:0.576874:0.876387:0.576874:0.866669:0.571369:0.866669:0.000000
2:@0.576874:0.866830:0.585813:0.866830:0.585813:0.858834:0.576874:0.858834:0.000000
Para introducir los términos :@0.293660:0.907726:0.497335:0.907726:0.497335:0.892013:0.293660:0.892013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño suficientemente pequeño:@0.496985:0.907726:0.750791:0.907726:0.750791:0.892290:0.496985:0.892290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.559091:0.907726:0.574903:0.907726:0.574903:0.892013:0.559091:0.892013:0.000000:0.000000:0.000000
, utilizaremos las relacio-:@0.750791:0.907726:0.926906:0.907726:0.926906:0.892013:0.750791:0.892013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes de orden menor que ( ) y mayor que ( ) en el siguiente sentido: sea 0       1 , :@0.293660:0.924367:0.930938:0.924367:0.930938:0.908655:0.293660:0.908655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.487470:0.923813:0.502803:0.923813:0.502803:0.910097:0.487470:0.910097:0.000000
.:@0.614038:0.923813:0.629372:0.923813:0.629372:0.910097:0.614038:0.910097:0.000000
, d ,:@0.856683:0.923813:0.905628:0.923813:0.905628:0.910097:0.856683:0.910097:0.000000:0.000000:0.000000:0.000000:0.000000
diremos que       con     0 es pequeño con respecto de   si se verifica | |    .:@0.293660:0.941009:0.883052:0.941009:0.883052:0.925297:0.293660:0.925297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.390151:0.941009:0.397606:0.941009:0.397606:0.925574:0.390151:0.925574:0.000000
:@0.401635:0.940871:0.416969:0.940871:0.416969:0.926822:0.401635:0.926822:0.000000
:@0.420998:0.940149:0.434288:0.940149:0.434288:0.927252:0.420998:0.927252:0.000000
x:@0.470219:0.941009:0.477674:0.941009:0.477674:0.925574:0.470219:0.925574:0.000000
?:@0.481705:0.941550:0.497039:0.941550:0.497039:0.926378:0.481705:0.926378:0.000000
d:@0.728156:0.940455:0.737360:0.940455:0.737360:0.926739:0.728156:0.926739:0.000000
x:@0.835892:0.941009:0.843347:0.941009:0.843347:0.925574:0.835892:0.925574:0.000000
, d:@0.851281:0.940455:0.879849:0.940455:0.879849:0.926739:0.851281:0.926739:0.000000:0.000000:0.000000
Tema 1. Función racional:@0.073089:0.098522:0.439490:0.098522:0.439490:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza el siguiente  polinomio y  encuentra  las soluciones  de  la ecuación:  :@0.310262:0.162925:0.914333:0.162925:0.914333:0.147212:0.310262:0.147212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.310262:0.179567:0.317717:0.179567:0.317717:0.164131:0.310262:0.164131:0.000000
2 :@0.317650:0.173503:0.325194:0.173503:0.325194:0.164342:0.317650:0.164342:0.000000:0.000000
2 :@0.325143:0.179012:0.344986:0.179012:0.344986:0.165296:0.325143:0.165296:0.000000:0.000000
7:@0.344894:0.179567:0.353877:0.179567:0.353877:0.163854:0.344894:0.163854:0.000000
x :@0.353803:0.179567:0.364498:0.179567:0.364498:0.164131:0.353803:0.164131:0.000000:0.000000
1 :@0.364443:0.179012:0.384286:0.179012:0.384286:0.165296:0.364443:0.165296:0.000000:0.000000
12 :@0.384194:0.179567:0.406043:0.179567:0.406043:0.163854:0.384194:0.163854:0.000000:0.000000:0.000000
5 :@0.405951:0.179012:0.425794:0.179012:0.425794:0.165296:0.405951:0.165296:0.000000:0.000000
0:@0.425702:0.179567:0.434685:0.179567:0.434685:0.163854:0.425702:0.163854:0.000000
Instrucciones::@0.310270:0.199786:0.414982:0.199786:0.414982:0.183117:0.310270:0.183117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza el polinomio cuadrático  :     7:@0.310270:0.220006:0.620119:0.219997:0.620119:0.204285:0.310270:0.204294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.555150:0.219138:0.568440:0.219138:0.568440:0.206240:0.555150:0.206240:0.000000
x:@0.575417:0.219997:0.582872:0.219997:0.582872:0.204562:0.575417:0.204562:0.000000
2:@0.582810:0.213934:0.588046:0.213934:0.588046:0.204773:0.582810:0.204773:0.000000
2:@0.595896:0.219443:0.611229:0.219443:0.611229:0.205727:0.595896:0.205727:0.000000
x :@0.620046:0.219997:0.630740:0.219997:0.630740:0.204562:0.620046:0.204562:0.000000:0.000000
1  5 2 :@0.630685:0.219443:0.718764:0.219443:0.718764:0.205727:0.630685:0.205727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12 (:@0.650436:0.219997:0.688355:0.219997:0.688355:0.204285:0.650436:0.204285:0.000000:0.000000:0.000000:0.000000
x :@0.688282:0.219997:0.698976:0.219997:0.698976:0.204562:0.688282:0.204562:0.000000:0.000000
3)(:@0.718672:0.219997:0.737263:0.219997:0.737263:0.204285:0.718672:0.204285:0.000000:0.000000:0.000000
x :@0.737171:0.219997:0.747866:0.219997:0.747866:0.204562:0.737171:0.204562:0.000000:0.000000
2 :@0.747811:0.219443:0.767654:0.219443:0.767654:0.205727:0.747811:0.205727:0.000000:0.000000
4):@0.767562:0.219997:0.781349:0.219997:0.781349:0.204285:0.767562:0.204285:0.000000:0.000000
Resuelve la ecuación para encontrar los valores de :@0.310289:0.240217:0.677749:0.240217:0.677749:0.224505:0.310289:0.224505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.677329:0.240217:0.688024:0.240217:0.688024:0.224782:0.677329:0.224782:0.000000:0.000000
:@0.687943:0.240075:0.703277:0.240075:0.703277:0.226026:0.687943:0.226026:0.000000
  : x   3 y :@0.703185:0.240214:0.783285:0.240214:0.783285:0.224501:0.703185:0.224501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.707134:0.239354:0.720424:0.239354:0.720424:0.226456:0.707134:0.226456:0.000000
5:@0.739163:0.239659:0.754496:0.239659:0.754496:0.225943:0.739163:0.225943:0.000000
x :@0.783174:0.240214:0.793869:0.240214:0.793869:0.224778:0.783174:0.224778:0.000000:0.000000
5:@0.793814:0.239659:0.809147:0.239659:0.809147:0.225943:0.793814:0.225943:0.000000
 4:@0.809055:0.240214:0.821995:0.240214:0.821995:0.224501:0.809055:0.224501:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como sabemos, las :@0.082576:0.333205:0.213588:0.333205:0.213588:0.318921:0.082576:0.318921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones reales más :@0.082576:0.348334:0.223635:0.348334:0.223635:0.334050:0.082576:0.334050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sencillas de evaluar :@0.082576:0.363463:0.213043:0.363463:0.213043:0.349178:0.082576:0.349178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son las funciones :@0.082576:0.378592:0.199428:0.378592:0.199428:0.364307:0.082576:0.364307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomiales que tienen :@0.082576:0.393721:0.246768:0.393721:0.246768:0.379436:0.082576:0.379436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la forma:@0.082576:0.408850:0.136295:0.408850:0.136295:0.394565:0.082576:0.394565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.082576:0.423978:0.102071:0.423978:0.102071:0.409946:0.082576:0.409946:0.000000:0.000000:0.000000
( )       :@0.090926:0.423978:0.161603:0.423978:0.161603:0.409694:0.090926:0.409694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.109952:0.423474:0.123892:0.423474:0.123892:0.411005:0.109952:0.411005:0.000000
a:@0.127406:0.423978:0.135823:0.423978:0.135823:0.409946:0.127406:0.409946:0.000000
0:@0.135766:0.426862:0.140527:0.426862:0.140527:0.418535:0.135766:0.418535:0.000000
1:@0.144083:0.423474:0.158022:0.423474:0.158022:0.411005:0.144083:0.411005:0.000000
a x:@0.161536:0.423978:0.181374:0.423978:0.181374:0.409946:0.161536:0.409946:0.000000:0.000000:0.000000
1:@0.169880:0.426862:0.174640:0.426862:0.174640:0.418535:0.169880:0.418535:0.000000
 :@0.181307:0.423978:0.184972:0.423978:0.184972:0.409694:0.181307:0.409694:0.000000
1 :@0.184905:0.423474:0.202944:0.423474:0.202944:0.411005:0.184905:0.411005:0.000000:0.000000
... :@0.202860:0.423978:0.215059:0.423978:0.215059:0.409694:0.202860:0.409694:0.000000:0.000000:0.000000:0.000000
a x ,:@0.214959:0.423978:0.243067:0.423978:0.243067:0.409946:0.214959:0.409946:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.223324:0.426862:0.228358:0.426862:0.228358:0.418682:0.223324:0.418682:0.000000
n:@0.235040:0.418466:0.240074:0.418466:0.240074:0.410285:0.235040:0.410285:0.000000
  :@0.243067:0.423978:0.250263:0.423978:0.250263:0.409694:0.243067:0.409694:0.000000:0.000000
x:@0.082572:0.439107:0.089350:0.439107:0.089350:0.425075:0.082572:0.425075:0.000000
    ,:@0.089283:0.439107:0.125240:0.439107:0.125240:0.424823:0.089283:0.424823:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.092884:0.438981:0.106823:0.438981:0.106823:0.426210:0.092884:0.426210:0.000000
:@0.110331:0.438326:0.122413:0.438326:0.122413:0.426601:0.110331:0.426601:0.000000
donde  :@0.082569:0.454236:0.133658:0.454236:0.133658:0.439952:0.082569:0.439952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.082569:0.469365:0.090986:0.469365:0.090986:0.455333:0.082569:0.455333:0.000000
i:@0.090932:0.472249:0.092942:0.472249:0.092942:0.464069:0.090932:0.464069:0.000000
    ,     0, 1, …,  . :@0.092907:0.469365:0.224077:0.469365:0.224077:0.455081:0.092907:0.455081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.096498:0.469239:0.110437:0.469239:0.110437:0.456468:0.096498:0.456468:0.000000
:@0.113952:0.468584:0.126033:0.468584:0.126033:0.456859:0.113952:0.456859:0.000000
i:@0.132376:0.469365:0.135823:0.469365:0.135823:0.455333:0.132376:0.455333:0.000000
5:@0.139354:0.468861:0.153293:0.468861:0.153293:0.456392:0.139354:0.456392:0.000000
n:@0.208933:0.469365:0.217568:0.469365:0.217568:0.455333:0.208933:0.455333:0.000000
Para calcular  :@0.082576:0.484494:0.171617:0.484494:0.171617:0.470210:0.082576:0.470210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.082576:0.499623:0.102071:0.499623:0.102071:0.485591:0.082576:0.485591:0.000000:0.000000:0.000000
( ) con      , se aplica :@0.090926:0.499623:0.244956:0.499623:0.244956:0.485339:0.090926:0.485339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.138668:0.499623:0.145445:0.499623:0.145445:0.485591:0.138668:0.485591:0.000000
:@0.148977:0.499497:0.162917:0.499497:0.162917:0.486726:0.148977:0.486726:0.000000
:@0.166424:0.498842:0.178506:0.498842:0.178506:0.487117:0.166424:0.487117:0.000000
el esquema de Hörner. :@0.082571:0.514752:0.235172:0.514752:0.235172:0.500468:0.082571:0.500468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto es,  ( ) se escribe :@0.082571:0.529881:0.230533:0.529881:0.230533:0.515597:0.082571:0.515597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.134345:0.529881:0.153840:0.529881:0.153840:0.515849:0.134345:0.515849:0.000000:0.000000:0.000000
como:@0.082571:0.545010:0.121343:0.545010:0.121343:0.530726:0.082571:0.530726:0.000000:0.000000:0.000000:0.000000
p x:@0.082571:0.560139:0.102066:0.560139:0.102066:0.546107:0.082571:0.546107:0.000000:0.000000:0.000000
( )   :@0.090921:0.560139:0.127468:0.560139:0.127468:0.545855:0.090921:0.545855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.109947:0.559635:0.123887:0.559635:0.123887:0.547166:0.109947:0.547166:0.000000
a:@0.127401:0.560139:0.135818:0.560139:0.135818:0.546107:0.127401:0.546107:0.000000
0 :@0.135766:0.563023:0.142624:0.563023:0.142624:0.554695:0.135766:0.554695:0.000000:0.000000
1:@0.142578:0.559635:0.156518:0.559635:0.156518:0.547166:0.142578:0.547166:0.000000
  :@0.156518:0.560139:0.163697:0.560139:0.163697:0.545855:0.156518:0.545855:0.000000:0.000000
x a:@0.082587:0.575268:0.102082:0.575268:0.102082:0.561236:0.082587:0.561236:0.000000:0.000000:0.000000
(:@0.089298:0.575268:0.093732:0.575268:0.093732:0.560984:0.089298:0.560984:0.000000
1 :@0.102010:0.578152:0.108869:0.578152:0.108869:0.569824:0.102010:0.569824:0.000000:0.000000
1:@0.108822:0.574764:0.122762:0.574764:0.122762:0.562295:0.108822:0.562295:0.000000
… (:@0.122678:0.575268:0.150490:0.575268:0.150490:0.560984:0.122678:0.560984:0.000000:0.000000:0.000000
x a:@0.139345:0.575268:0.158840:0.575268:0.158840:0.561236:0.139345:0.561236:0.000000:0.000000:0.000000
n:@0.158773:0.578152:0.163807:0.578152:0.163807:0.569971:0.158773:0.569971:0.000000
2 1:@0.163772:0.574764:0.199666:0.574764:0.199666:0.562295:0.163772:0.562295:0.000000:0.000000:0.000000
1  :@0.177627:0.575268:0.203247:0.575268:0.203247:0.560984:0.177627:0.560984:0.000000:0.000000:0.000000
a x:@0.203180:0.575268:0.223299:0.575268:0.223299:0.561236:0.203180:0.561236:0.000000:0.000000:0.000000
n:@0.211524:0.578152:0.216558:0.578152:0.216558:0.569971:0.211524:0.569971:0.000000
)…),:@0.223232:0.575268:0.251546:0.575268:0.251546:0.560984:0.223232:0.560984:0.000000:0.000000:0.000000:0.000000
lo que facilita el cálculo, :@0.082567:0.590397:0.242101:0.590397:0.242101:0.576113:0.082567:0.576113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reduciendo el número de :@0.082567:0.605526:0.254861:0.605526:0.254861:0.591242:0.082567:0.591242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones elementales.:@0.082567:0.620655:0.250636:0.620655:0.250636:0.606370:0.082567:0.606370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En orden de complejidad, :@0.082567:0.635784:0.256088:0.635784:0.256088:0.621499:0.082567:0.621499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguen las funciones :@0.082567:0.650913:0.219919:0.650913:0.219919:0.636628:0.082567:0.636628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales. Estas son :@0.082567:0.666042:0.218975:0.666042:0.218975:0.651757:0.082567:0.651757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones reales. Lo :@0.082567:0.681170:0.214912:0.681170:0.214912:0.666886:0.082567:0.666886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que nos interesa es :@0.082567:0.696299:0.212911:0.696299:0.212911:0.682015:0.082567:0.682015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar su dominio y, :@0.082567:0.711428:0.251241:0.711428:0.251241:0.697144:0.082567:0.697144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si es posible, su recorrido.:@0.082567:0.726557:0.249588:0.726557:0.249588:0.712273:0.082567:0.712273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.285128:0.187141:0.285128:0.187141:0.268181:0.078581:0.268181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.301769:0.176057:0.301769:0.176057:0.284822:0.078581:0.284822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 1) Reconoce la relación funcional entre variables asociadas a problemas.:@0.483369:0.971366:0.917365:0.971366:0.917365:0.959939:0.483369:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000