66:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Interdisciplinariedad:@0.199644:0.106800:0.346429:0.106800:0.346429:0.091327:0.199644:0.091327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Física:@0.199880:0.135849:0.338099:0.135849:0.338099:0.120377:0.199880:0.120377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función racional dada como:@0.153337:0.151269:0.355007:0.151269:0.355007:0.136206:0.153337:0.136206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.153337:0.174346:0.169520:0.174346:0.169520:0.159309:0.153337:0.159309:0.000000:0.000000:0.000000
( ) =      ,   ≠ 0 cuya ecuación:@0.157260:0.174240:0.345842:0.174240:0.345842:0.159177:0.157260:0.159177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.217594:0.174346:0.224418:0.174346:0.224418:0.159309:0.217594:0.159309:0.000000
y:@0.153337:0.200881:0.160356:0.200881:0.160356:0.185844:0.153337:0.185844:0.000000
 =:@0.160356:0.200775:0.174005:0.200775:0.174005:0.185712:0.160356:0.185712:0.000000:0.000000
tiene la siguiente gráfica: es una :@0.153337:0.223746:0.359877:0.223746:0.359877:0.208683:0.153337:0.208683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipérbola con sus ejes de coor-:@0.153337:0.239588:0.353687:0.239588:0.353687:0.224525:0.153337:0.224525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denadas como sus asíntotas.:@0.153337:0.255430:0.337696:0.255430:0.337696:0.240367:0.153337:0.240367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.293980:0.396369:0.305575:0.396369:0.305575:0.386244:0.293980:0.386244:0.000000
 :@0.305575:0.397084:0.308485:0.397084:0.308485:0.385492:0.305575:0.385492:0.000000
Figura 2.6.:@0.308485:0.397084:0.357539:0.397084:0.357539:0.385492:0.308485:0.385492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.235357:0.309549:0.241267:0.309549:0.241267:0.298072:0.235357:0.298072:0.000000
–1:@0.228053:0.352317:0.241267:0.352317:0.241267:0.340840:0.228053:0.340840:0.000000:0.000000
1:@0.273767:0.340840:0.279677:0.340840:0.279677:0.329364:0.273767:0.329364:0.000000
–1:@0.210751:0.340840:0.223965:0.340840:0.223965:0.329364:0.210751:0.329364:0.000000:0.000000
y:@0.283220:0.298052:0.289904:0.298052:0.289904:0.283731:0.283220:0.283731:0.000000
 =:@0.289904:0.297951:0.302904:0.297951:0.302904:0.283606:0.289904:0.283606:0.000000:0.000000
0:@0.236786:0.326466:0.243804:0.326466:0.243804:0.312838:0.236786:0.312838:0.000000
y:@0.234064:0.277435:0.240526:0.277435:0.240526:0.263806:0.234064:0.263806:0.000000
x:@0.329123:0.341552:0.335728:0.341552:0.335728:0.327924:0.329123:0.327924:0.000000
1:@0.308019:0.291011:0.315407:0.291011:0.315407:0.276665:0.308019:0.276665:0.000000
x:@0.308471:0.306199:0.314971:0.306199:0.314971:0.291879:0.308471:0.291879:0.000000
Esta función es utilizada por la :@0.153344:0.420128:0.348570:0.420128:0.348570:0.405065:0.153344:0.405065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
física y la química para explicar :@0.153344:0.435970:0.351017:0.435970:0.351017:0.420907:0.153344:0.420907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ley de Boyle, la cual dice que :@0.153344:0.451812:0.349610:0.451812:0.349610:0.436749:0.153344:0.436749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando la temperatura es cons-:@0.153344:0.467654:0.353202:0.467654:0.353202:0.452591:0.153344:0.452591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tante, el volumen   de un gas es :@0.153344:0.483496:0.361432:0.483496:0.361432:0.468433:0.153344:0.468433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.267308:0.483601:0.277123:0.483601:0.277123:0.468565:0.267308:0.468565:0.000000
inversamente proporcional a la :@0.153344:0.499338:0.352445:0.499338:0.352445:0.484275:0.153344:0.484275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión  , y   es una constante::@0.153344:0.515180:0.350000:0.515180:0.350000:0.500117:0.153344:0.500117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P C:@0.203722:0.515285:0.237248:0.515285:0.237248:0.500249:0.203722:0.500249:0.000000:0.000000:0.000000
V:@0.233079:0.538256:0.242895:0.538256:0.242895:0.523220:0.233079:0.523220:0.000000
 =      .:@0.242895:0.538151:0.281751:0.538151:0.281751:0.523088:0.242895:0.523088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica de   como una :@0.153344:0.569835:0.322505:0.569835:0.322505:0.554771:0.153344:0.554771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.238583:0.569940:0.248399:0.569940:0.248399:0.554904:0.238583:0.554904:0.000000
función de   tiene la misma :@0.153344:0.585677:0.336859:0.585677:0.336859:0.570613:0.153344:0.570613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.227414:0.585782:0.235435:0.585782:0.235435:0.570745:0.227414:0.570745:0.000000
forma general que la mitad de :@0.153344:0.601519:0.351933:0.601519:0.351933:0.586455:0.153344:0.586455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la gráfica de la función.:@0.153344:0.617361:0.301415:0.617361:0.301415:0.602297:0.153344:0.602297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.208031:0.640437:0.224214:0.640437:0.224214:0.625400:0.208031:0.625400:0.000000:0.000000:0.000000
( ) =      ,   ≠ 0.:@0.211954:0.640331:0.306817:0.640331:0.306817:0.625268:0.211954:0.625268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.272288:0.640437:0.279113:0.640437:0.279113:0.625400:0.272288:0.625400:0.000000
p:@0.295959:0.791668:0.307554:0.791668:0.307554:0.781543:0.295959:0.781543:0.000000
 :@0.307553:0.792383:0.310463:0.792383:0.310463:0.780792:0.307553:0.780792:0.000000
Figura 2.7.:@0.310463:0.792383:0.359517:0.792383:0.359517:0.780792:0.310463:0.780792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.178586:0.756149:0.185605:0.756149:0.185605:0.742520:0.178586:0.742520:0.000000
V:@0.173159:0.674426:0.182406:0.674426:0.182406:0.660797:0.173159:0.660797:0.000000
P:@0.335840:0.771235:0.343304:0.771235:0.343304:0.757606:0.335840:0.757606:0.000000
Responde:@0.155207:0.818515:0.224160:0.818515:0.224160:0.803043:0.155207:0.803043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué es una función :@0.224160:0.818092:0.363418:0.818092:0.363418:0.803029:0.224160:0.803029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional?, ¿qué es una asíntota?:@0.157863:0.833934:0.356980:0.833934:0.356980:0.818871:0.157863:0.818871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.197297:0.166886:0.205054:0.166886:0.205054:0.151823:0.197297:0.151823:0.000000
x:@0.197772:0.183335:0.204597:0.183335:0.204597:0.168299:0.197772:0.168299:0.000000
C:@0.264628:0.530948:0.273793:0.530948:0.273793:0.515911:0.264628:0.515911:0.000000
P:@0.265209:0.547291:0.273230:0.547291:0.273230:0.532254:0.265209:0.532254:0.000000
1:@0.182579:0.193611:0.190336:0.193611:0.190336:0.178548:0.182579:0.178548:0.000000
x:@0.183053:0.210060:0.189878:0.210060:0.189878:0.195024:0.183053:0.195024:0.000000
1:@0.251324:0.633058:0.259081:0.633058:0.259081:0.617995:0.251324:0.617995:0.000000
x:@0.251799:0.649507:0.258624:0.649507:0.258624:0.634471:0.251799:0.634471:0.000000
De manera general,         con     :@0.402561:0.096194:0.638553:0.096194:0.638553:0.079697:0.402561:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.607445:0.096310:0.614920:0.096310:0.614920:0.079841:0.607445:0.079841:0.000000
:@0.619061:0.095826:0.634411:0.095826:0.634411:0.081816:0.619061:0.081816:0.000000
Dom f:@0.638553:0.096310:0.683248:0.096310:0.683248:0.079841:0.638553:0.079841:0.000000:0.000000:0.000000:0.000000:0.000000
( ) no está definido.:@0.673192:0.096194:0.811187:0.096194:0.811187:0.079697:0.673192:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, la función   definida como  ( ) =   está definida en todo:@0.402553:0.127802:0.891827:0.127802:0.891827:0.111304:0.402553:0.111304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.569888:0.127917:0.574184:0.127917:0.574184:0.111448:0.569888:0.111448:0.000000
f x:@0.686250:0.127917:0.703974:0.127917:0.703974:0.111448:0.686250:0.111448:0.000000:0.000000:0.000000
x:@0.728903:0.127917:0.736378:0.127917:0.736378:0.111448:0.728903:0.111448:0.000000
el conjunto  , pero         =       no está definida en   = 0.  Por esta:@0.402553:0.152281:0.860581:0.152281:0.860581:0.135783:0.402553:0.135783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.487898:0.151312:0.501808:0.151312:0.501808:0.137865:0.487898:0.137865:0.000000
x:@0.757995:0.152396:0.765470:0.152396:0.765470:0.135927:0.757995:0.135927:0.000000
razón, en general, una función racional   no tiene una opuesta mul-:@0.402553:0.176760:0.891693:0.176760:0.891693:0.160262:0.402553:0.160262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.687348:0.176875:0.691644:0.176875:0.691644:0.160406:0.687348:0.160406:0.000000
tiplicativa notada  , tal que   ×   =  , siendo   la función definida :@0.402553:0.194110:0.895938:0.194110:0.895938:0.177613:0.402553:0.177613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f :@0.532324:0.194226:0.540762:0.194226:0.540762:0.177757:0.532324:0.177757:0.000000:0.000000
–1:@0.538265:0.187757:0.549340:0.187757:0.549340:0.178139:0.538265:0.178139:0.000000:0.000000
f:@0.612180:0.194226:0.616476:0.194226:0.616476:0.177757:0.612180:0.177757:0.000000
f :@0.637340:0.194226:0.645779:0.194226:0.645779:0.177757:0.637340:0.177757:0.000000:0.000000
–1:@0.643259:0.187757:0.654334:0.187757:0.654334:0.178139:0.643259:0.178139:0.000000:0.000000
������:@0.675199:0.202209:0.684099:0.202209:0.684099:0.182346:0.675199:0.182346:0.000000:0.000000
������:@0.743531:0.202209:0.752431:0.202209:0.752431:0.182346:0.743531:0.182346:0.000000:0.000000
como  ( ) = 1, :@0.402576:0.211461:0.512041:0.211461:0.512041:0.194963:0.402576:0.194963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
������:@0.448890:0.219560:0.457790:0.219560:0.457790:0.199697:0.448890:0.199697:0.000000:0.000000
x:@0.463358:0.211577:0.470833:0.211577:0.470833:0.195108:0.463358:0.195108:0.000000
∀:@0.512415:0.219047:0.523987:0.219047:0.523987:0.200048:0.512415:0.200048:0.000000
x:@0.523996:0.211577:0.531471:0.211577:0.531471:0.195108:0.523996:0.195108:0.000000
    . Para definir la función   se debe considerar :@0.531471:0.211461:0.895911:0.211461:0.895911:0.194963:0.531471:0.194963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.535997:0.211093:0.551347:0.211093:0.551347:0.197083:0.535997:0.197083:0.000000
:@0.555682:0.210492:0.569592:0.210492:0.569592:0.197045:0.555682:0.197045:0.000000
f :@0.737737:0.211577:0.746175:0.211577:0.746175:0.195108:0.737737:0.195108:0.000000:0.000000
–1:@0.743184:0.205108:0.754258:0.205108:0.754258:0.195490:0.743184:0.195490:0.000000:0.000000
el conjunto   =      , y definir :@0.402570:0.228812:0.626798:0.228812:0.626798:0.212314:0.402570:0.212314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C A:@0.486875:0.228927:0.526234:0.228927:0.526234:0.212459:0.486875:0.212459:0.000000:0.000000:0.000000
<:@0.529817:0.228595:0.545865:0.228595:0.545865:0.213948:0.529817:0.213948:0.000000
B:@0.549487:0.228927:0.558677:0.228927:0.558677:0.212459:0.549487:0.212459:0.000000
Dom f :@0.626278:0.228927:0.675867:0.228927:0.675867:0.212459:0.626278:0.212459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =   \  , en cuyo caso   está :@0.661476:0.228812:0.895919:0.228812:0.895919:0.212314:0.661476:0.212314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.671948:0.222459:0.683022:0.222459:0.683022:0.212841:0.671948:0.212841:0.000000:0.000000
:@0.707012:0.227725:0.720317:0.227725:0.720317:0.214863:0.707012:0.214863:0.000000
C:@0.732741:0.228927:0.742778:0.228927:0.742778:0.212459:0.732741:0.212459:0.000000
f :@0.844171:0.228927:0.852609:0.228927:0.852609:0.212459:0.844171:0.212459:0.000000:0.000000
–1:@0.848664:0.222459:0.859738:0.222459:0.859738:0.212841:0.848664:0.212841:0.000000:0.000000
definida como::@0.402555:0.246163:0.509263:0.246163:0.509263:0.229665:0.402555:0.229665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.554076:0.274314:0.584414:0.274321:0.584414:0.257852:0.554076:0.257845:0.000000:0.000000:0.000000
–1:@0.559913:0.267852:0.570987:0.267852:0.570987:0.258234:0.559913:0.258234:0.000000:0.000000
( ) =           ,       \ :@0.570986:0.274205:0.727038:0.274205:0.727038:0.257708:0.570986:0.257708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.657774:0.281792:0.669346:0.281792:0.669346:0.262793:0.657774:0.262793:0.000000
x:@0.669355:0.274321:0.676830:0.274321:0.676830:0.257852:0.669355:0.257852:0.000000
:@0.680971:0.273838:0.696321:0.273838:0.696321:0.259828:0.680971:0.259828:0.000000
:@0.700271:0.273118:0.713576:0.273118:0.713576:0.260256:0.700271:0.260256:0.000000
C.:@0.727038:0.274321:0.740254:0.274321:0.740254:0.257852:0.727038:0.257852:0.000000:0.000000
 :@0.402553:0.291556:0.406695:0.291556:0.406695:0.275058:0.402553:0.275058:0.000000
Entonces,   ( ) ×  ( ) =  ( ) = 1,         \ :@0.402553:0.308907:0.716166:0.308907:0.716166:0.292409:0.402553:0.292409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.478842:0.309023:0.496566:0.309023:0.496566:0.292554:0.478842:0.292554:0.000000:0.000000:0.000000
f  x:@0.521611:0.309023:0.551186:0.309023:0.551186:0.292554:0.521611:0.292554:0.000000:0.000000:0.000000:0.000000
–1:@0.526684:0.302554:0.537759:0.302554:0.537759:0.292936:0.526684:0.292936:0.000000:0.000000
������:@0.576231:0.317006:0.585131:0.317006:0.585131:0.297143:0.576231:0.297143:0.000000:0.000000
x:@0.590699:0.309023:0.598174:0.309023:0.598174:0.292554:0.590699:0.292554:0.000000
∀:@0.646901:0.316493:0.658474:0.316493:0.658474:0.297494:0.646901:0.297494:0.000000
x:@0.658482:0.309023:0.665957:0.309023:0.665957:0.292554:0.658482:0.292554:0.000000
:@0.670098:0.308539:0.685449:0.308539:0.685449:0.294529:0.670098:0.294529:0.000000
:@0.689397:0.307820:0.702702:0.307820:0.702702:0.294958:0.689397:0.294958:0.000000
C.:@0.716166:0.309023:0.729382:0.309023:0.729382:0.292554:0.716166:0.292554:0.000000:0.000000
 :@0.402566:0.326258:0.406708:0.326258:0.406708:0.309760:0.402566:0.309760:0.000000
Notemos que el dominio de la función   es todo  , mientras que el :@0.402566:0.343608:0.895889:0.343608:0.895889:0.327111:0.402566:0.327111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
������:@0.687882:0.351707:0.696783:0.351707:0.696783:0.331845:0.687882:0.331845:0.000000:0.000000
:@0.760581:0.342521:0.773886:0.342521:0.773886:0.329659:0.760581:0.329659:0.000000
dominio de   ×   = 1 es   \  .:@0.402565:0.360959:0.619124:0.360959:0.619124:0.344461:0.402565:0.344461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f f :@0.489796:0.361075:0.521622:0.361075:0.521622:0.344606:0.489796:0.344606:0.000000:0.000000:0.000000:0.000000
–1:@0.518246:0.354606:0.529321:0.354606:0.529321:0.344988:0.518246:0.344988:0.000000:0.000000
:@0.579563:0.359872:0.592868:0.359872:0.592868:0.347010:0.579563:0.347010:0.000000
C:@0.606332:0.361075:0.616369:0.361075:0.616369:0.344606:0.606332:0.344606:0.000000
Ejercicio resuelto:@0.402563:0.396037:0.520542:0.396037:0.520542:0.379250:0.402563:0.379250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.402563:0.413228:0.414835:0.413228:0.414835:0.396514:0.402563:0.396514:0.000000:0.000000
  Sean  ,   los polinomios reales definidos como  ( ) = 3,      , :@0.414835:0.413011:0.895911:0.413011:0.895911:0.396514:0.414835:0.396514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.465619:0.413127:0.492474:0.413127:0.492474:0.396658:0.465619:0.396658:0.000000:0.000000:0.000000
p x:@0.774475:0.413127:0.797170:0.413127:0.797170:0.396658:0.774475:0.396658:0.000000:0.000000:0.000000
x:@0.842173:0.413127:0.849648:0.413127:0.849648:0.396658:0.842173:0.396658:0.000000
:@0.855387:0.412493:0.870039:0.412493:0.870039:0.399120:0.855387:0.399120:0.000000
:@0.875709:0.411924:0.889014:0.411924:0.889014:0.399062:0.875709:0.399062:0.000000
q x:@0.426301:0.430478:0.448899:0.430478:0.448899:0.414009:0.426301:0.414009:0.000000:0.000000:0.000000
( ) =   + 2,      . La función racional   está definida como:@0.435471:0.430362:0.851197:0.430362:0.851197:0.413865:0.435471:0.413865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.473944:0.430478:0.481419:0.430478:0.481419:0.414009:0.473944:0.414009:0.000000
x:@0.515903:0.430478:0.523378:0.430478:0.523378:0.414009:0.515903:0.414009:0.000000
:@0.527522:0.429844:0.542175:0.429844:0.542175:0.416470:0.527522:0.416470:0.000000
:@0.546317:0.429275:0.559621:0.429275:0.559621:0.416413:0.546317:0.416413:0.000000
f:@0.706247:0.430478:0.710544:0.430478:0.710544:0.414009:0.706247:0.414009:0.000000
 :@0.402571:0.460538:0.406713:0.460538:0.406713:0.444040:0.402571:0.444040:0.000000
f x:@0.555845:0.460654:0.573569:0.460654:0.573569:0.444185:0.555845:0.444185:0.000000:0.000000:0.000000
( ) =           =                 ≠ –2.:@0.560142:0.460538:0.762251:0.460538:0.762251:0.444040:0.560142:0.444040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.713934:0.460654:0.721409:0.460654:0.721409:0.444185:0.713934:0.444185:0.000000
 :@0.402571:0.502368:0.406713:0.502368:0.406713:0.485870:0.402571:0.485870:0.000000
Se tiene :@0.426306:0.502368:0.485951:0.502368:0.485951:0.485870:0.426306:0.485870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.485412:0.502483:0.530878:0.502483:0.530878:0.486015:0.485412:0.486015:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  \{–2}. Una asíntota vertical es la recta   defini-:@0.520628:0.502368:0.891804:0.502367:0.891804:0.485869:0.520628:0.485870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.554825:0.501280:0.568130:0.501280:0.568130:0.488417:0.554825:0.488417:0.000000
R:@0.832681:0.502482:0.842256:0.502482:0.842256:0.486013:0.832681:0.486013:0.000000
da como::@0.426297:0.519717:0.492570:0.519717:0.492570:0.503220:0.426297:0.503220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.402563:0.537068:0.406705:0.537068:0.406705:0.520570:0.402563:0.520570:0.000000
R:@0.523471:0.537184:0.533046:0.537184:0.533046:0.520715:0.523471:0.520715:0.000000
 = {(–2,  ) |      } o también x = –2:@0.533046:0.537068:0.794606:0.537068:0.794606:0.520570:0.533046:0.520570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y y:@0.589840:0.537184:0.624460:0.537184:0.624460:0.520715:0.589840:0.520715:0.000000:0.000000:0.000000
:@0.628596:0.536549:0.643248:0.536549:0.643248:0.523176:0.628596:0.523176:0.000000
:@0.647391:0.535981:0.660695:0.535981:0.660695:0.523119:0.647391:0.523119:0.000000
 :@0.402560:0.571770:0.406702:0.571770:0.406702:0.555272:0.402560:0.555272:0.000000
Por otro lado, si | |   ∞, también | | + 2   ∞, con lo que::@0.426295:0.571770:0.833873:0.571770:0.833873:0.555272:0.426295:0.555272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545836:0.571885:0.553311:0.571885:0.553311:0.555416:0.545836:0.555416:0.000000
→:@0.562469:0.579356:0.577912:0.579356:0.577912:0.560357:0.562469:0.560357:0.000000
x:@0.671421:0.571885:0.678896:0.571885:0.678896:0.555416:0.671421:0.555416:0.000000
→:@0.715635:0.579356:0.731077:0.579356:0.731077:0.560357:0.715635:0.560357:0.000000
 :@0.402564:0.606471:0.406706:0.606471:0.406706:0.589973:0.402564:0.589973:0.000000
      ( ) =              0    cuando     ∞,:@0.426299:0.606471:0.685456:0.606471:0.685456:0.589973:0.426299:0.589973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.447009:0.606587:0.464733:0.606587:0.464733:0.590118:0.447009:0.590118:0.000000:0.000000:0.000000
→:@0.535344:0.614058:0.550786:0.614058:0.550786:0.595058:0.535344:0.595058:0.000000
x:@0.638191:0.606587:0.645666:0.606587:0.645666:0.590118:0.638191:0.590118:0.000000
→:@0.649806:0.614058:0.665249:0.614058:0.665249:0.595058:0.649806:0.595058:0.000000
 :@0.402565:0.641173:0.406707:0.641173:0.406707:0.624675:0.402565:0.624675:0.000000
      ( ) =              0    cuando     –∞,:@0.426300:0.641173:0.695956:0.641173:0.695956:0.624675:0.426300:0.624675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.447010:0.641288:0.464734:0.641288:0.464734:0.624819:0.447010:0.624819:0.000000:0.000000:0.000000
→:@0.535344:0.648759:0.550786:0.648759:0.550786:0.629760:0.535344:0.629760:0.000000
x:@0.638191:0.641288:0.645666:0.641288:0.645666:0.624819:0.638191:0.624819:0.000000
→:@0.649806:0.648759:0.665249:0.648759:0.665249:0.629760:0.649806:0.629760:0.000000
Luego, ( )   0 cuando     ∞. Consecuentemente, la gráfica de   :@0.426300:0.675874:0.895912:0.675874:0.895912:0.659376:0.426300:0.659376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.476890:0.675990:0.494615:0.675990:0.494615:0.659521:0.476890:0.659521:0.000000:0.000000:0.000000
→:@0.505215:0.683461:0.520657:0.683461:0.520657:0.664461:0.505215:0.664461:0.000000
x:@0.597117:0.675990:0.604592:0.675990:0.604592:0.659521:0.597117:0.659521:0.000000
→:@0.609217:0.683461:0.624659:0.683461:0.624659:0.664461:0.609217:0.664461:0.000000
f:@0.887474:0.675990:0.891770:0.675990:0.891770:0.659521:0.887474:0.659521:0.000000
tiene una asíntota horizontal definida como el conjunto::@0.426302:0.693225:0.827232:0.693225:0.827232:0.676727:0.426302:0.676727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
H = {(x, 0) |      } o, y = 0:@0.551295:0.719482:0.743038:0.719485:0.743038:0.702987:0.551295:0.702985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.637679:0.719598:0.645154:0.719598:0.645154:0.703129:0.637679:0.703129:0.000000
:@0.649292:0.718966:0.663944:0.718966:0.663944:0.705593:0.649292:0.705593:0.000000
:@0.668086:0.718398:0.681391:0.718398:0.681391:0.705536:0.668086:0.705536:0.000000
 :@0.402563:0.751164:0.406705:0.751164:0.406705:0.734667:0.402563:0.734667:0.000000
que representa una recta horizontal que coincide con el eje  .:@0.426298:0.751164:0.861052:0.751164:0.861052:0.734667:0.426298:0.734667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.850822:0.751280:0.858297:0.751280:0.858297:0.734811:0.850822:0.734811:0.000000
 :@0.402563:0.782844:0.406705:0.782844:0.406705:0.766346:0.402563:0.766346:0.000000
Considerando el dominio de la función   en el eje   se identifican :@0.426298:0.782844:0.895945:0.782844:0.895945:0.766346:0.426298:0.766346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f,:@0.711303:0.782960:0.717872:0.782960:0.717872:0.766491:0.711303:0.766491:0.000000:0.000000
x:@0.785229:0.782960:0.792704:0.782960:0.792704:0.766491:0.785229:0.766491:0.000000
dos regiones:   < –2 y   > –2. Veamos algunos valores que toma la :@0.426298:0.800195:0.895962:0.800195:0.895962:0.783697:0.426298:0.783697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.522103:0.800310:0.529577:0.800310:0.529577:0.783842:0.522103:0.783842:0.000000
x:@0.582769:0.800310:0.590244:0.800310:0.590244:0.783842:0.582769:0.783842:0.000000
función   en cada una de estas regiones.:@0.426298:0.817546:0.707702:0.817546:0.707702:0.801048:0.426298:0.801048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.485423:0.817661:0.489719:0.817661:0.489719:0.801192:0.485423:0.801192:0.000000
Para  < –2: :@0.426298:0.852247:0.513242:0.852247:0.513242:0.835749:0.426298:0.835749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.460783:0.852363:0.468258:0.852363:0.468258:0.835894:0.460783:0.835894:0.000000
f:@0.545011:0.852363:0.549307:0.852363:0.549307:0.835894:0.545011:0.835894:0.000000
(–5) =                = –1,:@0.549307:0.852247:0.698131:0.852247:0.698131:0.835749:0.549307:0.835749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.545011:0.883970:0.549307:0.883970:0.549307:0.867501:0.545011:0.867501:0.000000
(–4) =                = –     ,:@0.549307:0.883854:0.710345:0.883854:0.710345:0.867357:0.549307:0.867357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.545011:0.915577:0.549307:0.915577:0.549307:0.899109:0.545011:0.899109:0.000000
(–3) =                = –3,:@0.549307:0.915462:0.698131:0.915462:0.698131:0.898964:0.549307:0.898964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.545011:0.947185:0.549307:0.947185:0.549307:0.930716:0.545011:0.930716:0.000000
(–2,5) =                 = –6,:@0.549307:0.947069:0.713524:0.947069:0.713524:0.930571:0.549307:0.930571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x:@0.614294:0.266880:0.636893:0.266880:0.636893:0.250412:0.614294:0.250412:0.000000:0.000000:0.000000
( ):@0.623465:0.266765:0.642846:0.266765:0.642846:0.250267:0.623465:0.250267:0.000000:0.000000:0.000000
p x:@0.614256:0.283219:0.636950:0.283219:0.636950:0.266750:0.614256:0.266750:0.000000:0.000000:0.000000
( ):@0.623523:0.283103:0.642903:0.283103:0.642903:0.266606:0.623523:0.266606:0.000000:0.000000:0.000000
1:@0.554542:0.088572:0.563038:0.088572:0.563038:0.072075:0.554542:0.072075:0.000000
f x:@0.546952:0.105027:0.564676:0.105027:0.564676:0.088558:0.546952:0.088558:0.000000:0.000000:0.000000
( ):@0.551248:0.104911:0.570629:0.104911:0.570629:0.088413:0.551248:0.088413:0.000000:0.000000:0.000000
1:@0.557140:0.144519:0.565636:0.144519:0.565636:0.128021:0.557140:0.128021:0.000000
f x:@0.549550:0.160973:0.567274:0.160973:0.567274:0.144504:0.549550:0.144504:0.000000:0.000000:0.000000
( ):@0.553846:0.160857:0.573227:0.160857:0.573227:0.144360:0.553846:0.144360:0.000000:0.000000:0.000000
1:@0.598705:0.144519:0.607201:0.144519:0.607201:0.128021:0.598705:0.128021:0.000000
x:@0.599225:0.160973:0.606700:0.160973:0.606700:0.144504:0.599225:0.144504:0.000000
p x:@0.602102:0.453268:0.624797:0.453268:0.624797:0.436799:0.602102:0.436799:0.000000:0.000000:0.000000
( ):@0.611369:0.453152:0.630750:0.453152:0.630750:0.436654:0.611369:0.436654:0.000000:0.000000:0.000000
q x:@0.602141:0.469606:0.624739:0.469606:0.624739:0.453138:0.602141:0.453138:0.000000:0.000000:0.000000
( ):@0.611311:0.469491:0.630692:0.469491:0.630692:0.452993:0.611311:0.452993:0.000000:0.000000:0.000000
3:@0.671998:0.453152:0.680494:0.453152:0.680494:0.436654:0.671998:0.436654:0.000000
x:@0.658724:0.469606:0.666199:0.469606:0.666199:0.453138:0.658724:0.453138:0.000000
 + 2:@0.666199:0.469491:0.693787:0.469491:0.693787:0.452993:0.666199:0.452993:0.000000:0.000000:0.000000:0.000000
3:@0.506216:0.599276:0.514712:0.599276:0.514712:0.582778:0.506216:0.582778:0.000000
x:@0.492943:0.615730:0.500418:0.615730:0.500418:0.599261:0.492943:0.599261:0.000000
 + 2:@0.500418:0.615614:0.528005:0.615614:0.528005:0.599116:0.500418:0.599116:0.000000:0.000000:0.000000:0.000000
3:@0.506216:0.633511:0.514712:0.633511:0.514712:0.617013:0.506216:0.617013:0.000000
x:@0.492943:0.649965:0.500418:0.649965:0.500418:0.633496:0.492943:0.633496:0.000000
 + 2:@0.500418:0.649849:0.528005:0.649849:0.528005:0.633352:0.500418:0.633352:0.000000:0.000000:0.000000:0.000000
3:@0.623466:0.844330:0.631962:0.844330:0.631962:0.827832:0.623466:0.827832:0.000000
–5 + 2:@0.604432:0.860668:0.651016:0.860668:0.651016:0.844171:0.604432:0.844171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.623466:0.876210:0.631962:0.876210:0.631962:0.859712:0.623466:0.859712:0.000000
–4 + 2:@0.604432:0.892549:0.651016:0.892549:0.651016:0.876051:0.604432:0.876051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.623466:0.907912:0.631962:0.907912:0.631962:0.891414:0.623466:0.891414:0.000000
–3 + 2:@0.604432:0.924250:0.651016:0.924250:0.651016:0.907752:0.604432:0.907752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.637079:0.938957:0.645575:0.938957:0.645575:0.922459:0.637079:0.922459:0.000000
–2,5 + 2:@0.612420:0.955295:0.670254:0.955295:0.670254:0.938797:0.612420:0.938797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.692297:0.876210:0.700793:0.876210:0.700793:0.859712:0.692297:0.859712:0.000000
2:@0.692297:0.892549:0.700793:0.892549:0.700793:0.876051:0.692297:0.876051:0.000000