﻿29:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.3.1. Grafica funciones reales y analiza su dominio, recorrido, monotonía, ceros, extremos, paridad; identifica las funciones afines, :@0.261615:0.108245:0.882423:0.108245:0.882423:0.097816:0.261615:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia, raíz cuadrada, valor absoluto; reconoce si una función es inyectiva, sobreyectiva o biyectiva; realiza operaciones con :@0.261615:0.118806:0.882507:0.118806:0.882507:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones aplicando las propiedades de los números reales en problemas reales e hipotéticos. (I.4.):@0.261615:0.129367:0.719370:0.129367:0.719370:0.118938:0.261615:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.119958:0.172018:0.138699:0.172018:0.138699:0.154882:0.119958:0.154882:0.000000:0.000000:0.000000
Completa:@0.153202:0.172018:0.228220:0.172018:0.228220:0.155394:0.153202:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla, :@0.228220:0.172018:0.298614:0.172018:0.298614:0.155629:0.228220:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentra:@0.301765:0.172018:0.379935:0.172018:0.379935:0.155394:0.301765:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio, el :@0.379935:0.172018:0.496398:0.172018:0.496398:0.155629:0.379935:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rango y :@0.153202:0.188614:0.212889:0.188614:0.212889:0.172225:0.153202:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa:@0.212889:0.188614:0.295185:0.188614:0.295185:0.171990:0.212889:0.171990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente.:@0.295185:0.188614:0.399852:0.188614:0.399852:0.172225:0.295185:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153202:0.223937:0.171924:0.223937:0.171924:0.207036:0.153202:0.207036:0.000000:0.000000:0.000000
():@0.197852:0.225365:0.221052:0.225365:0.221052:0.205431:0.197852:0.205431:0.000000:0.000000
=+:@0.223714:0.222911:0.258542:0.222911:0.258542:0.207338:0.223714:0.207338:0.000000:0.000000
3:@0.260569:0.222233:0.269562:0.222233:0.269562:0.205844:0.260569:0.205844:0.000000
fx:@0.189052:0.222233:0.213210:0.222233:0.213210:0.205872:0.189052:0.205872:0.000000:0.000000
x:@0.237848:0.222233:0.245311:0.222233:0.245311:0.205872:0.237848:0.205872:0.000000
 :@0.153191:0.276337:0.157006:0.276337:0.157006:0.259437:0.153191:0.259437:0.000000
x:@0.210800:0.259210:0.219903:0.259210:0.219903:0.242310:0.210800:0.242310:0.000000
f(x):@0.259301:0.259210:0.285376:0.259210:0.285376:0.242310:0.259301:0.242310:0.000000:0.000000:0.000000:0.000000
–2:@0.206248:0.281491:0.224454:0.281491:0.224454:0.265102:0.206248:0.265102:0.000000:0.000000
–1:@0.206248:0.302872:0.224454:0.302872:0.224454:0.286484:0.206248:0.286484:0.000000:0.000000
  0:@0.206819:0.324254:0.223883:0.324254:0.223883:0.307865:0.206819:0.307865:0.000000:0.000000:0.000000
  1:@0.206819:0.345636:0.223883:0.345636:0.223883:0.329247:0.206819:0.329247:0.000000:0.000000:0.000000
  2:@0.206819:0.367017:0.223883:0.367017:0.223883:0.350629:0.206819:0.350629:0.000000:0.000000:0.000000
 :@0.153195:0.539205:0.157009:0.539205:0.157009:0.522304:0.153195:0.522304:0.000000
b) :@0.153198:0.574002:0.173229:0.574002:0.173229:0.557101:0.153198:0.557101:0.000000:0.000000:0.000000
3:@0.236382:0.573246:0.245375:0.573246:0.245375:0.556857:0.236382:0.556857:0.000000
2:@0.268944:0.573246:0.277937:0.573246:0.277937:0.556857:0.268944:0.556857:0.000000
():@0.197852:0.576378:0.221052:0.576378:0.221052:0.556445:0.197852:0.556445:0.000000:0.000000
=:@0.223714:0.573924:0.233831:0.573924:0.233831:0.558351:0.223714:0.558351:0.000000
+:@0.256810:0.573924:0.266927:0.573924:0.266927:0.558351:0.256810:0.558351:0.000000
fx:@0.189057:0.573246:0.213215:0.573246:0.213215:0.556885:0.189057:0.556885:0.000000:0.000000
x:@0.246219:0.573246:0.253682:0.573246:0.253682:0.556885:0.246219:0.556885:0.000000
 :@0.153196:0.591654:0.157011:0.591654:0.157011:0.574754:0.153196:0.574754:0.000000
x:@0.210800:0.608731:0.219903:0.608731:0.219903:0.591830:0.210800:0.591830:0.000000
f(x):@0.259301:0.608731:0.285376:0.608731:0.285376:0.591830:0.259301:0.591830:0.000000:0.000000:0.000000:0.000000
–2:@0.206248:0.631012:0.224454:0.631012:0.224454:0.614623:0.206248:0.614623:0.000000:0.000000
–1:@0.206248:0.652393:0.224454:0.652393:0.224454:0.636004:0.206248:0.636004:0.000000:0.000000
  0:@0.206819:0.673775:0.223883:0.673775:0.223883:0.657386:0.206819:0.657386:0.000000:0.000000:0.000000
  1:@0.206819:0.695157:0.223883:0.695157:0.223883:0.678768:0.206819:0.678768:0.000000:0.000000:0.000000
  2:@0.206819:0.716538:0.223883:0.716538:0.223883:0.700149:0.206819:0.700149:0.000000:0.000000:0.000000
c) :@0.545667:0.181841:0.563302:0.181841:0.563302:0.164940:0.545667:0.164940:0.000000:0.000000:0.000000
2–5:@0.628851:0.180584:0.671197:0.180584:0.671197:0.164195:0.628851:0.164195:0.000000:0.000000:0.000000
():@0.590320:0.183715:0.613521:0.183715:0.613521:0.163782:0.590320:0.163782:0.000000:0.000000
=:@0.616181:0.181261:0.626298:0.181261:0.626298:0.165688:0.616181:0.165688:0.000000
fx:@0.581518:0.180584:0.605677:0.180584:0.605677:0.164222:0.581518:0.164222:0.000000:0.000000
x:@0.639105:0.180584:0.646568:0.180584:0.646568:0.164222:0.639105:0.164222:0.000000
 :@0.545658:0.199490:0.549473:0.199490:0.549473:0.182589:0.545658:0.182589:0.000000
x:@0.603266:0.216570:0.612370:0.216570:0.612370:0.199669:0.603266:0.199669:0.000000
f(x):@0.651768:0.216570:0.677843:0.216570:0.677843:0.199669:0.651768:0.199669:0.000000:0.000000:0.000000:0.000000
–2:@0.598715:0.238851:0.616921:0.238851:0.616921:0.222462:0.598715:0.222462:0.000000:0.000000
–1:@0.598715:0.260232:0.616921:0.260232:0.616921:0.243843:0.598715:0.243843:0.000000:0.000000
  0:@0.599286:0.281614:0.616350:0.281614:0.616350:0.265225:0.599286:0.265225:0.000000:0.000000:0.000000
  1:@0.599286:0.302996:0.616350:0.302996:0.616350:0.286607:0.599286:0.286607:0.000000:0.000000:0.000000
  2:@0.599286:0.324377:0.616350:0.324377:0.616350:0.307988:0.599286:0.307988:0.000000:0.000000:0.000000
 :@0.545662:0.520657:0.549476:0.520657:0.549476:0.503757:0.545662:0.503757:0.000000
d) :@0.545667:0.563491:0.565734:0.563491:0.565734:0.546590:0.545667:0.546590:0.000000:0.000000:0.000000
2:@0.639425:0.554572:0.644636:0.554572:0.644636:0.545074:0.639425:0.545074:0.000000
():@0.590320:0.565367:0.613521:0.565367:0.613521:0.545433:0.590320:0.545433:0.000000:0.000000
=:@0.616181:0.562911:0.626298:0.562911:0.626298:0.547338:0.616181:0.547338:0.000000
fx:@0.581518:0.562234:0.605677:0.562234:0.605677:0.545872:0.581518:0.545872:0.000000:0.000000
x:@0.630315:0.562234:0.637778:0.562234:0.637778:0.545872:0.630315:0.545872:0.000000
 :@0.545658:0.581140:0.549473:0.581140:0.549473:0.564239:0.545658:0.564239:0.000000
x:@0.603266:0.598221:0.612370:0.598221:0.612370:0.581321:0.603266:0.581321:0.000000
f(x):@0.651768:0.598221:0.677843:0.598221:0.677843:0.581321:0.651768:0.581321:0.000000:0.000000:0.000000:0.000000
–2:@0.598715:0.620502:0.616921:0.620502:0.616921:0.604113:0.598715:0.604113:0.000000:0.000000
–1:@0.598715:0.641884:0.616921:0.641884:0.616921:0.625495:0.598715:0.625495:0.000000:0.000000
  0:@0.599286:0.663265:0.616350:0.663265:0.616350:0.646876:0.599286:0.646876:0.000000:0.000000:0.000000
  1:@0.599286:0.684647:0.616350:0.684647:0.616350:0.668258:0.599286:0.668258:0.000000:0.000000:0.000000
  2:@0.599286:0.706029:0.616350:0.706029:0.616350:0.689640:0.599286:0.689640:0.000000:0.000000:0.000000
 :@0.545662:0.911394:0.549476:0.911394:0.549476:0.894493:0.545662:0.894493:0.000000
___________________:@0.314879:0.261835:0.485298:0.261835:0.485298:0.245447:0.314879:0.245447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.314879:0.284462:0.480986:0.284462:0.480986:0.268073:0.314879:0.268073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.704089:0.209958:0.874508:0.209958:0.874508:0.193569:0.704089:0.193569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.704089:0.232584:0.870196:0.232584:0.870196:0.216195:0.704089:0.216195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________:@0.704200:0.592048:0.884625:0.592048:0.884625:0.575659:0.704200:0.575659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________:@0.704200:0.614674:0.884625:0.614674:0.884625:0.598285:0.704200:0.598285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________:@0.704200:0.637301:0.879023:0.637301:0.879023:0.620912:0.704200:0.620912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.314879:0.631077:0.485298:0.631077:0.485298:0.614688:0.314879:0.614688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.314879:0.653703:0.480986:0.653703:0.480986:0.637315:0.314879:0.637315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.662793:0.619238:0.671785:0.619238:0.671785:0.602849:0.662793:0.602849:0.000000
1:@0.662793:0.640606:0.671785:0.640606:0.671785:0.624217:0.662793:0.624217:0.000000
0:@0.662793:0.661974:0.671785:0.661974:0.671785:0.645585:0.662793:0.645585:0.000000
1:@0.662793:0.683342:0.671785:0.683342:0.671785:0.666953:0.662793:0.666953:0.000000
4:@0.662793:0.704710:0.671785:0.704710:0.671785:0.688321:0.662793:0.688321:0.000000
–9:@0.656214:0.239361:0.674421:0.239361:0.674421:0.222972:0.656214:0.222972:0.000000:0.000000
–7:@0.656214:0.260729:0.674421:0.260729:0.674421:0.244340:0.656214:0.244340:0.000000:0.000000
–5:@0.656214:0.282097:0.674421:0.282097:0.674421:0.265708:0.656214:0.265708:0.000000:0.000000
–3:@0.656214:0.303465:0.674421:0.303465:0.674421:0.287076:0.656214:0.287076:0.000000:0.000000
 –1:@0.654205:0.324833:0.676448:0.324833:0.676448:0.308444:0.654205:0.308444:0.000000:0.000000:0.000000
1:@0.268497:0.281156:0.277489:0.281156:0.277489:0.264767:0.268497:0.264767:0.000000
2:@0.268497:0.302524:0.277489:0.302524:0.277489:0.286135:0.268497:0.286135:0.000000
3:@0.268497:0.323892:0.277489:0.323892:0.277489:0.307503:0.268497:0.307503:0.000000
4:@0.268497:0.345260:0.277489:0.345260:0.277489:0.328871:0.268497:0.328871:0.000000
5:@0.268497:0.366628:0.277489:0.366628:0.277489:0.350239:0.268497:0.350239:0.000000
:@0.419685:0.262196:0.432990:0.262196:0.432990:0.245448:0.419685:0.245448:0.000000
:@0.433617:0.285224:0.446921:0.285224:0.446921:0.268475:0.433617:0.268475:0.000000
():@0.353932:0.264457:0.374516:0.264457:0.374516:0.244523:0.353932:0.244523:0.000000:0.000000
():@0.346192:0.287488:0.366776:0.287488:0.366776:0.267555:0.346192:0.267555:0.000000:0.000000
():@0.390898:0.287488:0.414098:0.287488:0.414098:0.267555:0.390898:0.267555:0.000000:0.000000
=∈:@0.377176:0.262003:0.416335:0.262003:0.416335:0.246430:0.377176:0.246430:0.000000:0.000000
=:@0.369428:0.285026:0.379545:0.285026:0.379545:0.269453:0.369428:0.269453:0.000000
∈:@0.417119:0.285026:0.430258:0.285026:0.430258:0.269453:0.417119:0.269453:0.000000
Domf:@0.317496:0.261325:0.365076:0.261325:0.365076:0.244964:0.317496:0.244964:0.000000:0.000000:0.000000:0.000000
x:@0.391317:0.261325:0.398780:0.261325:0.398780:0.244964:0.391317:0.244964:0.000000
Ranf:@0.317864:0.284352:0.357318:0.284352:0.357318:0.267991:0.317864:0.267991:0.000000:0.000000:0.000000:0.000000
fx:@0.382103:0.284352:0.406262:0.284352:0.406262:0.267991:0.382103:0.267991:0.000000:0.000000
–4:@0.263890:0.632282:0.282096:0.632282:0.282096:0.615893:0.263890:0.615893:0.000000:0.000000
–1:@0.263890:0.653649:0.282096:0.653649:0.282096:0.637260:0.263890:0.637260:0.000000:0.000000
  2:@0.264461:0.675017:0.281525:0.675017:0.281525:0.658628:0.264461:0.658628:0.000000:0.000000:0.000000
  5:@0.264461:0.696385:0.281525:0.696385:0.281525:0.679996:0.264461:0.679996:0.000000:0.000000:0.000000
  8:@0.264461:0.717753:0.281525:0.717753:0.281525:0.701364:0.264461:0.701364:0.000000:0.000000:0.000000
:@0.419685:0.631711:0.432990:0.631711:0.432990:0.614962:0.419685:0.614962:0.000000
:@0.433617:0.654738:0.446921:0.654738:0.446921:0.637990:0.433617:0.637990:0.000000
():@0.353932:0.633971:0.374516:0.633971:0.374516:0.614038:0.353932:0.614038:0.000000:0.000000
():@0.346192:0.657003:0.366776:0.657003:0.366776:0.637069:0.346192:0.637069:0.000000:0.000000
():@0.390898:0.657003:0.414098:0.657003:0.414098:0.637069:0.390898:0.637069:0.000000:0.000000
=∈:@0.377176:0.631517:0.416335:0.631517:0.416335:0.615944:0.377176:0.615944:0.000000:0.000000
=:@0.369428:0.654541:0.379545:0.654541:0.379545:0.638968:0.369428:0.638968:0.000000
∈:@0.417119:0.654541:0.430258:0.654541:0.430258:0.638968:0.417119:0.638968:0.000000
Domf:@0.317496:0.630839:0.365076:0.630839:0.365076:0.614478:0.317496:0.614478:0.000000:0.000000:0.000000:0.000000
x:@0.391317:0.630839:0.398780:0.630839:0.398780:0.614478:0.391317:0.614478:0.000000
Ranf:@0.317864:0.653867:0.357318:0.653867:0.357318:0.637506:0.317864:0.637506:0.000000:0.000000:0.000000:0.000000
fx:@0.382103:0.653867:0.406262:0.653867:0.406262:0.637506:0.382103:0.637506:0.000000:0.000000
:@0.807716:0.210853:0.821021:0.210853:0.821021:0.194105:0.807716:0.194105:0.000000
:@0.821647:0.233881:0.834952:0.233881:0.834952:0.217132:0.821647:0.217132:0.000000
():@0.741963:0.213115:0.762546:0.213115:0.762546:0.193182:0.741963:0.193182:0.000000:0.000000
():@0.734215:0.236139:0.754799:0.236139:0.754799:0.216205:0.734215:0.216205:0.000000:0.000000
():@0.778920:0.236139:0.802121:0.236139:0.802121:0.216205:0.778920:0.216205:0.000000:0.000000
=∈:@0.765207:0.210660:0.804366:0.210660:0.804366:0.195087:0.765207:0.195087:0.000000:0.000000
=:@0.757459:0.233684:0.767576:0.233684:0.767576:0.218112:0.757459:0.218112:0.000000
∈:@0.805150:0.233684:0.818288:0.233684:0.818288:0.218112:0.805150:0.218112:0.000000
Domf:@0.705526:0.209982:0.753107:0.209982:0.753107:0.193621:0.705526:0.193621:0.000000:0.000000:0.000000:0.000000
x:@0.779347:0.209982:0.786811:0.209982:0.786811:0.193621:0.779347:0.193621:0.000000
Ranf:@0.705895:0.233009:0.745348:0.233009:0.745348:0.216648:0.705895:0.216648:0.000000:0.000000:0.000000:0.000000
fx:@0.770134:0.233009:0.794292:0.233009:0.794292:0.216648:0.770134:0.216648:0.000000:0.000000
3:@0.311847:0.428897:0.318387:0.428897:0.318387:0.416978:0.311847:0.416978:0.000000
2:@0.311847:0.451709:0.318387:0.451709:0.318387:0.439790:0.311847:0.439790:0.000000
1:@0.311847:0.474522:0.318387:0.474522:0.318387:0.462603:0.311847:0.462603:0.000000
–1:@0.308496:0.519322:0.321737:0.519322:0.321737:0.507403:0.308496:0.507403:0.000000:0.000000
–2:@0.263854:0.505129:0.277096:0.505129:0.277096:0.493210:0.263854:0.493210:0.000000:0.000000
–3:@0.235844:0.505129:0.249086:0.505129:0.249086:0.493210:0.235844:0.493210:0.000000:0.000000
1:@0.353138:0.505129:0.359678:0.505129:0.359678:0.493210:0.353138:0.493210:0.000000
f x:@0.335739:0.462400:0.349685:0.462400:0.349685:0.449014:0.335739:0.449014:0.000000:0.000000:0.000000
( ) =   + 3:@0.339584:0.462400:0.398324:0.462400:0.398324:0.448991:0.339584:0.448991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.369271:0.462400:0.375377:0.462400:0.375377:0.449014:0.369271:0.449014:0.000000
y:@0.325426:0.401952:0.331548:0.401952:0.331548:0.388565:0.325426:0.388565:0.000000
x:@0.445817:0.497309:0.451924:0.497309:0.451924:0.483923:0.445817:0.483923:0.000000
–1 0:@0.292808:0.505126:0.321166:0.505126:0.321166:0.493206:0.292808:0.493206:0.000000:0.000000:0.000000:0.000000
2:@0.380416:0.505126:0.386956:0.505126:0.386956:0.493206:0.380416:0.493206:0.000000
3:@0.407702:0.505126:0.414242:0.505126:0.414242:0.493206:0.407702:0.493206:0.000000
1:@0.278798:0.825594:0.285338:0.825594:0.285338:0.813675:0.278798:0.813675:0.000000
0:@0.280473:0.856574:0.287013:0.856574:0.287013:0.844655:0.280473:0.844655:0.000000
2:@0.278798:0.802681:0.285338:0.802681:0.285338:0.790762:0.278798:0.790762:0.000000
3:@0.278798:0.781035:0.285338:0.781035:0.285338:0.769116:0.278798:0.769116:0.000000
–1:@0.274884:0.869640:0.288125:0.869640:0.288125:0.857721:0.274884:0.857721:0.000000:0.000000
–2:@0.275447:0.892020:0.288688:0.892020:0.288688:0.880101:0.275447:0.880101:0.000000:0.000000
–1:@0.258795:0.856575:0.272036:0.856575:0.272036:0.844656:0.258795:0.844656:0.000000:0.000000
2:@0.346323:0.856575:0.352863:0.856575:0.352863:0.844656:0.346323:0.844656:0.000000
3:@0.374440:0.856575:0.380981:0.856575:0.380981:0.844656:0.374440:0.844656:0.000000
–2:@0.231147:0.856575:0.244388:0.856575:0.244388:0.844656:0.231147:0.844656:0.000000:0.000000
–3:@0.203217:0.856575:0.216459:0.856575:0.216459:0.844656:0.203217:0.844656:0.000000:0.000000
1:@0.318219:0.856575:0.324759:0.856575:0.324759:0.844656:0.318219:0.844656:0.000000
f x:@0.301824:0.814712:0.315770:0.814712:0.315770:0.801326:0.301824:0.801326:0.000000:0.000000:0.000000
( ) = 3  + 2:@0.305668:0.814712:0.371767:0.814712:0.371767:0.801303:0.305668:0.801303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.342713:0.814712:0.348819:0.814712:0.348819:0.801326:0.342713:0.801326:0.000000
x:@0.440503:0.847460:0.446610:0.847460:0.446610:0.834073:0.440503:0.834073:0.000000
y:@0.291074:0.752317:0.297195:0.752317:0.297195:0.738931:0.291074:0.738931:0.000000
x:@0.835646:0.387737:0.841752:0.387737:0.841752:0.374350:0.835646:0.374350:0.000000
y:@0.717275:0.357512:0.723396:0.357512:0.723396:0.344126:0.717275:0.344126:0.000000
1:@0.745030:0.396819:0.751570:0.396819:0.751570:0.384900:0.745030:0.384900:0.000000
–1 0:@0.683408:0.397383:0.714809:0.396819:0.714809:0.384900:0.683408:0.385463:0.000000:0.000000:0.000000:0.000000
–2:@0.657583:0.397383:0.670824:0.397383:0.670824:0.385463:0.657583:0.385463:0.000000:0.000000
–3:@0.629077:0.397383:0.642318:0.397383:0.642318:0.385463:0.629077:0.385463:0.000000:0.000000
2:@0.771834:0.396819:0.778374:0.396819:0.778374:0.384900:0.771834:0.384900:0.000000
3:@0.800032:0.396819:0.806572:0.396819:0.806572:0.384900:0.800032:0.384900:0.000000
–1:@0.699695:0.409377:0.712936:0.409377:0.712936:0.397458:0.699695:0.397458:0.000000:0.000000
–2:@0.699695:0.432260:0.712936:0.432260:0.712936:0.420341:0.699695:0.420341:0.000000:0.000000
–3:@0.699695:0.454258:0.712936:0.454258:0.712936:0.442339:0.699695:0.442339:0.000000:0.000000
–4:@0.699695:0.477593:0.712936:0.477593:0.712936:0.465674:0.699695:0.465674:0.000000:0.000000
–5:@0.699695:0.499682:0.712936:0.499682:0.712936:0.487762:0.699695:0.487762:0.000000:0.000000
f x:@0.775607:0.429222:0.789553:0.429222:0.789553:0.415836:0.775607:0.415836:0.000000:0.000000:0.000000
( ) = 2  – 5:@0.779451:0.429222:0.844102:0.429222:0.844102:0.415813:0.779451:0.415813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.816496:0.429222:0.822602:0.429222:0.822602:0.415836:0.816496:0.415836:0.000000
:@0.809214:0.592097:0.822518:0.592097:0.822518:0.575348:0.809214:0.575348:0.000000
:@0.823145:0.615982:0.836450:0.615982:0.836450:0.599233:0.823145:0.599233:0.000000
0,:@0.852247:0.615114:0.864981:0.615114:0.864981:0.598725:0.852247:0.598725:0.000000:0.000000
Domf:@0.707024:0.591226:0.754604:0.591226:0.754604:0.574864:0.707024:0.574864:0.000000:0.000000:0.000000:0.000000
x:@0.780845:0.591226:0.788308:0.591226:0.788308:0.574864:0.780845:0.574864:0.000000
Ranf:@0.707393:0.615111:0.746846:0.615111:0.746846:0.598749:0.707393:0.598749:0.000000:0.000000:0.000000:0.000000
fx x:@0.771631:0.615111:0.788290:0.614056:0.788290:0.597694:0.771631:0.598749:0.000000:0.000000:0.000000:0.000000
():@0.743460:0.594359:0.764044:0.594359:0.764044:0.574425:0.743460:0.574425:0.000000:0.000000
() ():@0.735721:0.618240:0.764017:0.617188:0.764017:0.597254:0.735721:0.598307:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.780426:0.618240:0.803627:0.618240:0.803627:0.598307:0.780426:0.598307:0.000000:0.000000
):@0.889206:0.618247:0.895343:0.618247:0.895343:0.598314:0.889206:0.598314:0.000000
[:@0.845808:0.618165:0.851944:0.618165:0.851944:0.598543:0.845808:0.598543:0.000000
=∈:@0.766704:0.591903:0.805863:0.591903:0.805863:0.576330:0.766704:0.576330:0.000000:0.000000
= =∈:@0.758956:0.615792:0.805836:0.614733:0.805836:0.599161:0.758956:0.600219:0.000000:0.000000:0.000000:0.000000
∈:@0.806647:0.615792:0.819786:0.615792:0.819786:0.600219:0.806647:0.600219:0.000000
+∞:@0.865910:0.615792:0.889000:0.615792:0.889000:0.600219:0.865910:0.600219:0.000000:0.000000
+:@0.837013:0.607846:0.842876:0.607846:0.842876:0.598821:0.837013:0.598821:0.000000
:@0.737858:0.614174:0.751163:0.614174:0.751163:0.597425:0.737858:0.597425:0.000000
:@0.751790:0.638059:0.765095:0.638059:0.765095:0.621310:0.751790:0.621310:0.000000
0,:@0.780890:0.637191:0.793624:0.637191:0.793624:0.620802:0.780890:0.620802:0.000000:0.000000
Domf:@0.635669:0.613303:0.683249:0.613303:0.683249:0.596941:0.635669:0.596941:0.000000:0.000000:0.000000:0.000000
x Domf:@0.709490:0.613303:0.754586:0.614056:0.754586:0.597694:0.709490:0.596941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ranf:@0.636037:0.637188:0.675491:0.637188:0.675491:0.620826:0.636037:0.620826:0.000000:0.000000:0.000000:0.000000
fx Ranf:@0.700276:0.637188:0.746828:0.637941:0.746828:0.621579:0.700276:0.620826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.672105:0.616434:0.692689:0.616434:0.692689:0.596501:0.672105:0.596501:0.000000:0.000000
():@0.664366:0.640315:0.684949:0.640315:0.684949:0.620382:0.664366:0.620382:0.000000:0.000000
() ():@0.709071:0.640315:0.756278:0.641069:0.756278:0.621135:0.709071:0.620382:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.817850:0.640315:0.823986:0.640315:0.823986:0.620382:0.817850:0.620382:0.000000
[:@0.774451:0.640240:0.780587:0.640240:0.780587:0.620619:0.774451:0.620619:0.000000
=∈:@0.695349:0.613980:0.734508:0.613980:0.734508:0.598407:0.695349:0.598407:0.000000:0.000000
=:@0.687610:0.637865:0.697726:0.637865:0.697726:0.622292:0.687610:0.622292:0.000000
∈ =:@0.735300:0.637865:0.769055:0.638618:0.769055:0.623045:0.735300:0.622292:0.000000:0.000000:0.000000
+∞ ∈:@0.794554:0.637869:0.819768:0.638618:0.819768:0.623045:0.794554:0.622296:0.000000:0.000000:0.000000:0.000000
+:@0.765656:0.629922:0.771519:0.629922:0.771519:0.620897:0.765656:0.620897:0.000000
:@0.809187:0.614927:0.822492:0.614927:0.822492:0.598179:0.809187:0.598179:0.000000
:@0.823118:0.638812:0.836423:0.638812:0.836423:0.622063:0.823118:0.622063:0.000000
0,:@0.852234:0.637941:0.864967:0.637941:0.864967:0.621552:0.852234:0.621552:0.000000:0.000000
fx:@0.771613:0.637941:0.795772:0.637941:0.795772:0.621579:0.771613:0.621579:0.000000:0.000000
():@0.780400:0.641069:0.803600:0.641069:0.803600:0.621135:0.780400:0.621135:0.000000:0.000000
):@0.889178:0.641069:0.895314:0.641069:0.895314:0.621135:0.889178:0.621135:0.000000
[:@0.845781:0.640994:0.851917:0.640994:0.851917:0.621372:0.845781:0.621372:0.000000
+∞:@0.865892:0.638618:0.888982:0.638618:0.888982:0.623045:0.865892:0.623045:0.000000:0.000000
+:@0.836986:0.630675:0.842849:0.630675:0.842849:0.621650:0.836986:0.621650:0.000000
4:@0.704119:0.801313:0.710659:0.801313:0.710659:0.789394:0.704119:0.789394:0.000000
6:@0.704119:0.756563:0.710659:0.756563:0.710659:0.744644:0.704119:0.744644:0.000000
2:@0.704119:0.845168:0.710659:0.845168:0.710659:0.833249:0.704119:0.833249:0.000000
3:@0.704119:0.823049:0.710659:0.823049:0.710659:0.811130:0.704119:0.811130:0.000000
5:@0.704119:0.778662:0.710659:0.778662:0.710659:0.766742:0.704119:0.766742:0.000000
1:@0.704119:0.868000:0.710659:0.868000:0.710659:0.856081:0.704119:0.856081:0.000000
–3:@0.627768:0.898804:0.641010:0.898804:0.641010:0.886885:0.627768:0.886885:0.000000:0.000000
1:@0.744057:0.898804:0.750597:0.898804:0.750597:0.886885:0.744057:0.886885:0.000000
–2:@0.656006:0.898804:0.669247:0.898804:0.669247:0.886885:0.656006:0.886885:0.000000:0.000000
2:@0.771531:0.898804:0.778071:0.898804:0.778071:0.886885:0.771531:0.886885:0.000000
3:@0.799996:0.898804:0.806537:0.898804:0.806537:0.886885:0.799996:0.886885:0.000000
–1 0:@0.683922:0.898804:0.716757:0.898804:0.716757:0.886885:0.683922:0.886885:0.000000:0.000000:0.000000:0.000000
4:@0.827283:0.898804:0.833823:0.898804:0.833823:0.886885:0.827283:0.886885:0.000000
f x:@0.793942:0.809551:0.807610:0.809551:0.807610:0.796432:0.793942:0.796432:0.000000:0.000000:0.000000
( ) = :@0.797710:0.809551:0.826803:0.809551:0.826803:0.796410:0.797710:0.796410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.826803:0.809551:0.832787:0.809551:0.832787:0.796432:0.826803:0.796432:0.000000
2:@0.832786:0.804702:0.836990:0.804702:0.836990:0.797041:0.832786:0.797041:0.000000
y:@0.715662:0.738505:0.721660:0.738505:0.721660:0.725386:0.715662:0.725386:0.000000
x:@0.864674:0.890585:0.870658:0.890585:0.870658:0.877466:0.864674:0.877466:0.000000
f:@0.673684:0.760850:0.677452:0.760850:0.677452:0.747731:0.673684:0.747731:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000