47:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento espacial, numérico y variacional:@0.521585:0.043660:0.926489:0.043660:0.926489:0.024915:0.521585:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Organízate en grupos de 3 a 4 integrantes. Cada miembro del grupo debe analizar una función diferente y :@0.097399:0.842992:0.907804:0.842992:0.907804:0.827279:0.097399:0.827279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determinar si las funciones dadas son pares, impares o ninguna de las dos.:@0.097399:0.859634:0.637959:0.859634:0.637959:0.843921:0.097399:0.843921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.128943:0.886997:0.144387:0.886997:0.144387:0.871284:0.128943:0.871284:0.000000:0.000000:0.000000 h x:@0.159145:0.886997:0.180829:0.886997:0.180829:0.871562:0.159145:0.871562:0.000000:0.000000:0.000000 ( ) 5 :@0.168569:0.886997:0.289134:0.886997:0.289134:0.871284:0.168569:0.871284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.189498:0.886442:0.204832:0.886442:0.204832:0.872727:0.189498:0.872727:0.000000 x:@0.217588:0.886997:0.225043:0.886997:0.225043:0.871562:0.217588:0.871562:0.000000 6:@0.224993:0.880933:0.230230:0.880933:0.230230:0.871773:0.224993:0.871773:0.000000 1:@0.234141:0.886442:0.249474:0.886442:0.249474:0.872727:0.234141:0.872727:0.000000 x:@0.253340:0.886997:0.260795:0.886997:0.260795:0.871562:0.253340:0.871562:0.000000 3:@0.260714:0.880933:0.265951:0.880933:0.265951:0.871773:0.260714:0.871773:0.000000 1:@0.269861:0.886442:0.285194:0.886442:0.285194:0.872727:0.269861:0.872727:0.000000 x:@0.289060:0.886997:0.296515:0.886997:0.296515:0.871562:0.289060:0.871562:0.000000 2:@0.296435:0.880933:0.301671:0.880933:0.301671:0.871773:0.296435:0.871773:0.000000 b. :@0.128943:0.911859:0.145842:0.911859:0.145842:0.896146:0.128943:0.896146:0.000000:0.000000:0.000000 g x:@0.159145:0.911859:0.180589:0.911859:0.180589:0.896424:0.159145:0.896424:0.000000:0.000000:0.000000 ( ) 10:@0.168330:0.911859:0.297810:0.911859:0.297810:0.896146:0.168330:0.896146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.189259:0.911304:0.204592:0.911304:0.204592:0.897589:0.189259:0.897589:0.000000 x:@0.208458:0.911859:0.215913:0.911859:0.215913:0.896424:0.208458:0.896424:0.000000 9:@0.215851:0.905795:0.221088:0.905795:0.221088:0.896635:0.215851:0.896635:0.000000 1:@0.224999:0.911304:0.240333:0.911304:0.240333:0.897589:0.224999:0.897589:0.000000 x:@0.244198:0.911859:0.251653:0.911859:0.251653:0.896424:0.244198:0.896424:0.000000 5:@0.251573:0.905795:0.256810:0.905795:0.256810:0.896635:0.251573:0.896635:0.000000 1:@0.260720:0.911304:0.276053:0.911304:0.276053:0.897589:0.260720:0.897589:0.000000 x:@0.297718:0.911859:0.305173:0.911859:0.305173:0.896424:0.297718:0.896424:0.000000 c. :@0.537158:0.886997:0.552234:0.886997:0.552234:0.871284:0.537158:0.871284:0.000000:0.000000:0.000000 f x:@0.567359:0.886997:0.584239:0.886997:0.584239:0.871562:0.567359:0.871562:0.000000:0.000000:0.000000 ( ) 12 9 26:@0.571979:0.886997:0.728167:0.886997:0.728167:0.871284:0.571979:0.871284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.592909:0.886442:0.608242:0.886442:0.608242:0.872727:0.592909:0.872727:0.000000 x:@0.629907:0.886997:0.637362:0.886997:0.637362:0.871562:0.629907:0.871562:0.000000 4:@0.637305:0.880933:0.642542:0.880933:0.642542:0.871773:0.637305:0.871773:0.000000 2:@0.646452:0.886442:0.661785:0.886442:0.661785:0.872727:0.646452:0.872727:0.000000 x:@0.674541:0.886997:0.681996:0.886997:0.681996:0.871562:0.674541:0.871562:0.000000 2:@0.681928:0.880933:0.687165:0.880933:0.687165:0.871773:0.681928:0.871773:0.000000 2:@0.691076:0.886442:0.706409:0.886442:0.706409:0.872727:0.691076:0.872727:0.000000 :@0.728145:0.880933:0.730495:0.880933:0.730495:0.871773:0.728145:0.871773:0.000000 d. :@0.537158:0.916518:0.554037:0.916518:0.554037:0.900805:0.537158:0.900805:0.000000:0.000000:0.000000 h x:@0.567359:0.916518:0.589043:0.916518:0.589043:0.901083:0.567359:0.901083:0.000000:0.000000:0.000000 ( ) :@0.576784:0.916518:0.616985:0.916518:0.616985:0.900805:0.576784:0.900805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.597713:0.915963:0.613046:0.915963:0.613046:0.902248:0.597713:0.902248:0.000000 3:@0.641082:0.908549:0.649248:0.908549:0.649248:0.894265:0.641082:0.894265:0.000000 x:@0.620081:0.924939:0.626858:0.924939:0.626858:0.910907:0.620081:0.910907:0.000000 2:@0.626855:0.919427:0.631616:0.919427:0.631616:0.911099:0.626855:0.911099:0.000000 2 :@0.631616:0.924435:0.653922:0.924435:0.653922:0.911966:0.631616:0.911966:0.000000:0.000000:0.000000 16:@0.653922:0.924939:0.670254:0.924939:0.670254:0.910655:0.653922:0.910655:0.000000:0.000000 :@0.670252:0.925412:0.674467:0.925412:0.674467:0.908985:0.670252:0.908985:0.000000 Trabajo colaborativo:@0.096806:0.810678:0.252266:0.810678:0.252266:0.794008:0.096806:0.794008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12. Realiza la gráfica de ( ) :@0.514231:0.144296:0.746669:0.144296:0.746669:0.127626:0.514231:0.127626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.700209:0.144296:0.718617:0.144296:0.718617:0.127613:0.700209:0.127613:0.000000:0.000000:0.000000 5:@0.727526:0.143741:0.742859:0.143741:0.742859:0.130026:0.727526:0.130026:0.000000 2:@0.760945:0.136994:0.769529:0.136994:0.769529:0.121840:0.760945:0.121840:0.000000 x:@0.769529:0.136994:0.776909:0.136994:0.776909:0.121827:0.769529:0.121827:0.000000 x:@0.750118:0.153383:0.757498:0.153383:0.757498:0.138217:0.750118:0.138217:0.000000 :@0.757498:0.153383:0.761045:0.153383:0.761045:0.138229:0.757498:0.138229:0.000000 2 :@0.761045:0.152879:0.779168:0.152879:0.779168:0.140410:0.761045:0.140410:0.000000:0.000000 1:@0.779168:0.153383:0.787753:0.153383:0.787753:0.138229:0.779168:0.138229:0.000000 :@0.787743:0.153856:0.791957:0.153856:0.791957:0.137429:0.787743:0.137429:0.000000 .:@0.791175:0.144296:0.794985:0.144296:0.794985:0.127626:0.791175:0.127626:0.000000 2:@0.718277:0.355186:0.727505:0.355186:0.727505:0.347010:0.718277:0.347010:0.000000 5:@0.727505:0.355517:0.732911:0.355517:0.732911:0.345720:0.727505:0.345720:0.000000 2:@0.712029:0.408062:0.721257:0.408062:0.721257:0.399886:0.712029:0.399886:0.000000 10:@0.721257:0.408393:0.732070:0.408393:0.732070:0.398596:0.721257:0.398596:0.000000:0.000000 0:@0.729599:0.306815:0.735005:0.306815:0.735005:0.297019:0.729599:0.297019:0.000000 5:@0.726242:0.249458:0.731649:0.249458:0.731649:0.239662:0.726242:0.239662:0.000000 10:@0.721257:0.196574:0.732070:0.196574:0.732070:0.186777:0.721257:0.186777:0.000000:0.000000 5:@0.804555:0.308551:0.809961:0.308551:0.809961:0.298755:0.804555:0.298755:0.000000 10:@0.873529:0.308551:0.884341:0.308551:0.884341:0.298755:0.873529:0.298755:0.000000:0.000000 2:@0.657191:0.308130:0.666419:0.308130:0.666419:0.299954:0.657191:0.299954:0.000000 5:@0.666419:0.308460:0.671826:0.308460:0.671826:0.298664:0.666419:0.298664:0.000000 2:@0.582457:0.308130:0.591685:0.308130:0.591685:0.299954:0.582457:0.299954:0.000000 10:@0.591685:0.308460:0.602497:0.308460:0.602497:0.298664:0.591685:0.298664:0.000000:0.000000 y:@0.726838:0.160351:0.731666:0.160351:0.731666:0.150554:0.726838:0.150554:0.000000 x:@0.919239:0.306911:0.923946:0.306911:0.923946:0.297115:0.919239:0.297115:0.000000 13. Grafica la función polinómica :@0.514231:0.472332:0.773397:0.472332:0.773397:0.455662:0.514231:0.455662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.544337:0.488974:0.552454:0.488974:0.552454:0.472290:0.544337:0.472290:0.000000 2 9 9 3.:@0.552381:0.488974:0.756715:0.488974:0.756715:0.472304:0.552381:0.472304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.556209:0.488419:0.571543:0.488419:0.571543:0.474703:0.556209:0.474703:0.000000 x:@0.584630:0.488974:0.592748:0.488974:0.592748:0.472290:0.584630:0.472290:0.000000 4:@0.592706:0.482910:0.598211:0.482910:0.598211:0.473191:0.592706:0.473191:0.000000 2:@0.601995:0.488419:0.617328:0.488419:0.617328:0.474703:0.601995:0.474703:0.000000 x:@0.630416:0.488974:0.638533:0.488974:0.638533:0.472290:0.630416:0.472290:0.000000 3:@0.638470:0.482910:0.643975:0.482910:0.643975:0.473191:0.638470:0.473191:0.000000 1:@0.647759:0.488419:0.663092:0.488419:0.663092:0.474703:0.647759:0.474703:0.000000 x:@0.676180:0.488974:0.684297:0.488974:0.684297:0.472290:0.676180:0.472290:0.000000 2:@0.684234:0.482910:0.689739:0.482910:0.689739:0.473191:0.684234:0.473191:0.000000 1 2:@0.693523:0.488419:0.739798:0.488419:0.739798:0.474703:0.693523:0.474703:0.000000:0.000000:0.000000 x:@0.712592:0.488974:0.720710:0.488974:0.720710:0.472290:0.712592:0.472290:0.000000 7. Usando el teorema de los ceros racionales, :@0.073089:0.136836:0.489868:0.136836:0.489868:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 encuentra los ceros reales de la función polinómica :@0.103214:0.153478:0.489886:0.153478:0.489886:0.136808:0.103214:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485772:0.153478:0.489674:0.153478:0.489674:0.136808:0.485772:0.136808:0.000000 f x:@0.103214:0.170120:0.122615:0.170120:0.122615:0.153436:0.103214:0.153436:0.000000:0.000000:0.000000 ( ) :@0.108810:0.170120:0.132592:0.170120:0.132592:0.153450:0.108810:0.153450:0.000000:0.000000:0.000000:0.000000 5:@0.135740:0.169565:0.151073:0.169565:0.151073:0.155850:0.135740:0.155850:0.000000 :@0.151607:0.170120:0.176878:0.170120:0.176878:0.153450:0.151607:0.153450:0.000000:0.000000:0.000000 x:@0.158657:0.170120:0.166774:0.170120:0.166774:0.153436:0.158657:0.153436:0.000000 3:@0.167202:0.164056:0.172708:0.164056:0.172708:0.154338:0.167202:0.154338:0.000000 1:@0.180025:0.169565:0.195359:0.169565:0.195359:0.155850:0.180025:0.155850:0.000000 3 :@0.195893:0.170120:0.231052:0.170120:0.231052:0.153450:0.195893:0.153450:0.000000:0.000000:0.000000:0.000000 x:@0.212846:0.170120:0.220963:0.170120:0.220963:0.153436:0.212846:0.153436:0.000000 2:@0.221377:0.164056:0.226882:0.164056:0.226882:0.154338:0.221377:0.154338:0.000000 2:@0.234200:0.169565:0.249533:0.169565:0.249533:0.155850:0.234200:0.155850:0.000000 4:@0.250067:0.170120:0.266560:0.170120:0.266560:0.153450:0.250067:0.153450:0.000000:0.000000 x:@0.267020:0.170120:0.275137:0.170120:0.275137:0.153436:0.267020:0.153436:0.000000 :@0.275552:0.164056:0.277828:0.164056:0.277828:0.154338:0.275552:0.154338:0.000000 2:@0.279666:0.169565:0.294999:0.169565:0.294999:0.155850:0.279666:0.155850:0.000000 12. Usa los ceros para :@0.295533:0.170120:0.489639:0.170120:0.489639:0.153450:0.295533:0.153450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 factorizar ( ) sobre los números reales.:@0.103195:0.186762:0.396682:0.186762:0.396682:0.170092:0.103195:0.170092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.178223:0.186762:0.196630:0.186762:0.196630:0.170078:0.178223:0.170078:0.000000:0.000000:0.000000 8. Encuentra las asíntotas verticales de la función :@0.073089:0.242715:0.489835:0.242715:0.489835:0.226045:0.073089:0.226045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racional ( ) :@0.103214:0.263351:0.213768:0.263351:0.213768:0.246681:0.103214:0.246681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.167308:0.263351:0.185715:0.263351:0.185715:0.246667:0.167308:0.246667:0.000000:0.000000:0.000000 5:@0.194625:0.262796:0.209958:0.262796:0.209958:0.249080:0.194625:0.249080:0.000000 x x:@0.219790:0.256047:0.239302:0.256047:0.239302:0.240880:0.219790:0.240880:0.000000:0.000000:0.000000 (:@0.227170:0.256047:0.231922:0.256047:0.231922:0.240893:0.227170:0.240893:0.000000 2:@0.239302:0.255543:0.253241:0.255543:0.253241:0.243074:0.239302:0.243074:0.000000 1):@0.253241:0.256047:0.266578:0.256047:0.266578:0.240893:0.253241:0.240893:0.000000:0.000000 x:@0.213833:0.272437:0.221213:0.272437:0.221213:0.257270:0.213833:0.257270:0.000000 3 :@0.221213:0.272437:0.229864:0.272437:0.229864:0.257283:0.221213:0.257283:0.000000:0.000000 1 :@0.229864:0.271933:0.247987:0.271933:0.247987:0.259464:0.229864:0.259464:0.000000:0.000000 16:@0.247987:0.272437:0.265156:0.272437:0.265156:0.257283:0.247987:0.257283:0.000000:0.000000 x:@0.265156:0.272437:0.272535:0.272437:0.272535:0.257270:0.265156:0.257270:0.000000 :@0.272535:0.272910:0.276750:0.272910:0.276750:0.256483:0.272535:0.256483:0.000000 .:@0.272607:0.263349:0.276418:0.263349:0.276418:0.246680:0.272607:0.246680:0.000000 9. Encuentra el dominio de la función racional ( ) :@0.073089:0.319303:0.489674:0.319303:0.489674:0.302633:0.073089:0.302633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.442313:0.319303:0.460867:0.319303:0.460867:0.302619:0.442313:0.302619:0.000000:0.000000:0.000000 5:@0.470439:0.318748:0.485772:0.318748:0.485772:0.305032:0.470439:0.305032:0.000000 x :@0.114145:0.332635:0.124571:0.332635:0.124571:0.317468:0.114145:0.317468:0.000000:0.000000 1 :@0.124571:0.332131:0.142693:0.332131:0.142693:0.319662:0.124571:0.319662:0.000000:0.000000 6:@0.142693:0.332635:0.151278:0.332635:0.151278:0.317481:0.142693:0.317481:0.000000 x:@0.110999:0.349025:0.118379:0.349025:0.118379:0.333858:0.110999:0.333858:0.000000 4 :@0.118379:0.349025:0.127733:0.349025:0.127733:0.333870:0.118379:0.333870:0.000000:0.000000 1 :@0.127733:0.348520:0.145856:0.348520:0.145856:0.336052:0.127733:0.336052:0.000000:0.000000 9:@0.145856:0.349025:0.154441:0.349025:0.154441:0.333870:0.145856:0.333870:0.000000 :@0.154431:0.349497:0.158645:0.349497:0.158645:0.333071:0.154431:0.333071:0.000000 .:@0.162135:0.339937:0.165946:0.339937:0.165946:0.323268:0.162135:0.323268:0.000000 10. Encuentra las asíntotas verticales de la función :@0.073089:0.395890:0.489835:0.395890:0.489835:0.379221:0.073089:0.379221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racional ( ) :@0.103214:0.416526:0.213768:0.416526:0.213768:0.399857:0.103214:0.399857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.167308:0.416526:0.185716:0.416526:0.185716:0.399843:0.167308:0.399843:0.000000:0.000000:0.000000 5:@0.194625:0.415971:0.209958:0.415971:0.209958:0.402256:0.194625:0.402256:0.000000 x :@0.224618:0.409223:0.235043:0.409223:0.235043:0.394056:0.224618:0.394056:0.000000:0.000000 1 :@0.235043:0.408718:0.253166:0.408718:0.253166:0.396250:0.235043:0.396250:0.000000:0.000000 7:@0.253166:0.409223:0.261750:0.409223:0.261750:0.394069:0.253166:0.394069:0.000000 x:@0.221455:0.425612:0.228835:0.425612:0.228835:0.410446:0.221455:0.410446:0.000000 4 :@0.228835:0.425612:0.238189:0.425612:0.238189:0.410458:0.228835:0.410458:0.000000:0.000000 1 :@0.238189:0.425108:0.256312:0.425108:0.256312:0.412639:0.238189:0.412639:0.000000:0.000000 4:@0.256312:0.425612:0.264896:0.425612:0.264896:0.410458:0.256312:0.410458:0.000000 :@0.264905:0.426085:0.269119:0.426085:0.269119:0.409658:0.264905:0.409658:0.000000 .:@0.272607:0.416524:0.276418:0.416524:0.276418:0.399854:0.272607:0.399854:0.000000 11. Usa la gráfica para determinar el dominio y el rango :@0.073089:0.472478:0.489853:0.472478:0.489853:0.455808:0.073089:0.455808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o recorrido de la función.:@0.103214:0.489120:0.292590:0.489120:0.292590:0.472450:0.103214:0.472450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.220454:0.697632:0.234528:0.697632:0.234528:0.685163:0.220454:0.685163:0.000000 10:@0.234528:0.698136:0.251017:0.698136:0.251017:0.683852:0.234528:0.683852:0.000000:0.000000 2:@0.188777:0.625870:0.202850:0.625870:0.202850:0.613402:0.188777:0.613402:0.000000 5:@0.202850:0.626375:0.211095:0.626375:0.211095:0.612090:0.202850:0.612090:0.000000 5:@0.306634:0.626513:0.314879:0.626513:0.314879:0.612229:0.306634:0.612229:0.000000 2:@0.228057:0.657086:0.242130:0.657086:0.242130:0.644618:0.228057:0.644618:0.000000 5:@0.242130:0.657591:0.250375:0.657591:0.250375:0.643306:0.242130:0.643306:0.000000 0:@0.245965:0.623878:0.254210:0.623878:0.254210:0.609594:0.245965:0.609594:0.000000 5:@0.241488:0.576941:0.249733:0.576941:0.249733:0.562657:0.241488:0.562657:0.000000 10:@0.232602:0.536408:0.249091:0.536408:0.249091:0.522124:0.232602:0.522124:0.000000:0.000000 10:@0.356153:0.626526:0.372642:0.626526:0.372642:0.612242:0.356153:0.612242:0.000000:0.000000 2:@0.131420:0.625883:0.145493:0.625883:0.145493:0.613414:0.131420:0.613414:0.000000 10:@0.145493:0.626387:0.161982:0.626387:0.161982:0.612103:0.145493:0.612103:0.000000:0.000000 y:@0.246608:0.513388:0.253971:0.513388:0.253971:0.499104:0.246608:0.499104:0.000000 x:@0.388260:0.624006:0.395439:0.624006:0.395439:0.609722:0.388260:0.609722:0.000000 2:@0.718033:0.699059:0.727261:0.699059:0.727261:0.690883:0.718033:0.690883:0.000000 5:@0.727261:0.699390:0.732667:0.699390:0.732667:0.689593:0.727261:0.689593:0.000000 2:@0.711785:0.751935:0.721013:0.751935:0.721013:0.743759:0.711785:0.743759:0.000000 10:@0.721013:0.752266:0.731825:0.752266:0.731825:0.742470:0.721013:0.742470:0.000000:0.000000 0:@0.729355:0.650689:0.734761:0.650689:0.734761:0.640892:0.729355:0.640892:0.000000 5:@0.725998:0.593331:0.731404:0.593331:0.731404:0.583535:0.725998:0.583535:0.000000 10:@0.721013:0.540447:0.731825:0.540447:0.731825:0.530650:0.721013:0.530650:0.000000:0.000000 5:@0.804311:0.652425:0.809717:0.652425:0.809717:0.642628:0.804311:0.642628:0.000000 10:@0.873284:0.652425:0.884097:0.652425:0.884097:0.642628:0.873284:0.642628:0.000000:0.000000 2:@0.656947:0.652003:0.666175:0.652003:0.666175:0.643827:0.656947:0.643827:0.000000 5:@0.666175:0.652334:0.671581:0.652334:0.671581:0.642537:0.666175:0.642537:0.000000 2:@0.582212:0.652003:0.591441:0.652003:0.591441:0.643827:0.582212:0.643827:0.000000 10:@0.591441:0.652334:0.602253:0.652334:0.602253:0.642537:0.591441:0.642537:0.000000:0.000000 y:@0.726594:0.504224:0.731422:0.504224:0.731422:0.494428:0.726594:0.494428:0.000000 x:@0.918995:0.650784:0.923702:0.650784:0.923702:0.640988:0.918995:0.640988:0.000000 Ceros de la función: :@0.104158:0.202733:0.198774:0.202733:0.198774:0.192734:0.104158:0.192734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x=-3 x=-2 x=2. :@0.104158:0.213323:0.182618:0.213323:0.182618:0.203324:0.104158:0.203324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f(x)=(x+3)(x+2)(x-2):@0.224646:0.213323:0.311280:0.213323:0.311280:0.203324:0.224646:0.203324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 No hay asíntotas Verticales:@0.104158:0.291898:0.228686:0.291898:0.228686:0.281899:0.104158:0.281899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 No hay asíntotas Verticales:@0.104158:0.437796:0.228686:0.437796:0.228686:0.427797:0.104158:0.427797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 D = -{5/2} R = -{5}:@0.113998:0.729178:0.243435:0.729182:0.243435:0.719183:0.113998:0.719179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.121880:0.731201:0.123669:0.731201:0.123669:0.725372:0.121880:0.725372:0.000000 R:@0.130826:0.728635:0.139284:0.728635:0.139284:0.720428:0.130826:0.720428:0.000000 f:@0.210446:0.731201:0.212235:0.731201:0.212235:0.725372:0.210446:0.725372:0.000000 R:@0.219392:0.728635:0.227849:0.728635:0.227849:0.720428:0.219392:0.720428:0.000000 D = :@0.104152:0.366889:0.139286:0.366891:0.139286:0.356892:0.104152:0.356890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.112037:0.368909:0.113827:0.368909:0.113827:0.363080:0.112037:0.363080:0.000000 R:@0.128263:0.366344:0.136720:0.366344:0.136720:0.358136:0.128263:0.358136:0.000000 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