﻿41:@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:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.073089:0.136836:0.148872:0.136836:0.148872:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: sea  ( )  20    14:@0.148761:0.136836:0.299167:0.136836:0.299167:0.121124:0.148761:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.183698:0.136836:0.200577:0.136836:0.200577:0.121401:0.183698:0.121401:0.000000:0.000000:0.000000
5:@0.209247:0.136281:0.224581:0.136281:0.224581:0.122566:0.209247:0.122566:0.000000
  x:@0.224489:0.136836:0.252983:0.136836:0.252983:0.121401:0.224489:0.121401:0.000000:0.000000:0.000000
2:@0.252930:0.130772:0.258167:0.130772:0.258167:0.121612:0.252930:0.121612:0.000000
2:@0.262077:0.136281:0.277410:0.136281:0.277410:0.122566:0.262077:0.122566:0.000000
x :@0.299075:0.136836:0.309770:0.136836:0.309770:0.121401:0.299075:0.121401:0.000000:0.000000
2:@0.309715:0.136281:0.325048:0.136281:0.325048:0.122566:0.309715:0.122566:0.000000
 24 , determinemos los ceros de la función.:@0.324956:0.136836:0.633143:0.136836:0.633143:0.121124:0.324956:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.346713:0.136836:0.350026:0.136836:0.350026:0.121401:0.346713:0.121401:0.000000
Al factorizar el polinomio, tenemos que  ( )  2(2    3)(5:@0.073108:0.165627:0.486479:0.165627:0.486479:0.149914:0.073108:0.149914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.361807:0.165627:0.378687:0.165627:0.378687:0.150191:0.361807:0.150191:0.000000:0.000000:0.000000
5:@0.387356:0.165072:0.402690:0.165072:0.402690:0.151356:0.387356:0.151356:0.000000
 :@0.402598:0.165627:0.405911:0.165627:0.405911:0.150191:0.402598:0.150191:0.000000
x:@0.428441:0.165627:0.435896:0.165627:0.435896:0.150191:0.428441:0.150191:0.000000
2:@0.439780:0.165072:0.455113:0.165072:0.455113:0.151356:0.439780:0.151356:0.000000
x :@0.486369:0.165627:0.497064:0.165627:0.497064:0.150191:0.486369:0.150191:0.000000:0.000000
1:@0.497008:0.165072:0.512342:0.165072:0.512342:0.151356:0.497008:0.151356:0.000000
 4).:@0.512250:0.165627:0.533123:0.165627:0.533123:0.149914:0.512250:0.149914:0.000000:0.000000:0.000000:0.000000
Observamos que los ceros racionales de la función son :@0.073108:0.201407:0.473883:0.201407:0.473883:0.185694:0.073108:0.185694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.480494:0.189694:0.488660:0.189694:0.488660:0.175410:0.480494:0.175410:0.000000
2 :@0.480494:0.206084:0.492325:0.206084:0.492325:0.191800:0.480494:0.191800:0.000000:0.000000
 y:@0.495645:0.201412:0.507701:0.201412:0.507701:0.185699:0.495645:0.185699:0.000000:0.000000
2:@0.507609:0.200857:0.522943:0.200857:0.522943:0.187141:0.507609:0.187141:0.000000
4:@0.529917:0.190047:0.538083:0.190047:0.538083:0.175763:0.529917:0.175763:0.000000
5 :@0.529917:0.206437:0.541748:0.206437:0.541748:0.192153:0.529917:0.192153:0.000000:0.000000
 .:@0.545056:0.201412:0.552217:0.201412:0.552217:0.185699:0.545056:0.185699:0.000000:0.000000
De acuerdo con el teorema de los ceros racionales::@0.073094:0.230202:0.440818:0.230202:0.440818:0.214489:0.073094:0.214489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.211574:0.254270:0.219991:0.254270:0.219991:0.240237:0.211574:0.240237:0.000000
q:@0.211574:0.270659:0.219991:0.270659:0.219991:0.256627:0.211574:0.256627:0.000000
 :@0.219991:0.270659:0.223656:0.270659:0.223656:0.256375:0.219991:0.256375:0.000000
   :@0.226850:0.263887:0.250080:0.263887:0.250080:0.248174:0.226850:0.248174:0.000000:0.000000:0.000000
5:@0.230808:0.263332:0.246141:0.263332:0.246141:0.249616:0.230808:0.249616:0.000000
3:@0.257055:0.257026:0.265221:0.257026:0.265221:0.242741:0.257055:0.242741:0.000000
2 :@0.257055:0.273415:0.268886:0.273415:0.268886:0.259131:0.257055:0.259131:0.000000:0.000000
; 3 es un factor o divisor de :@0.272206:0.263887:0.469167:0.263887:0.469167:0.248174:0.272206:0.248174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.468887:0.263887:0.478146:0.263887:0.478146:0.248451:0.468887:0.248451:0.000000
0 :@0.478086:0.267059:0.485630:0.267059:0.485630:0.257898:0.478086:0.257898:0.000000:0.000000
52:@0.485579:0.263332:0.518456:0.263332:0.518456:0.249616:0.485579:0.249616:0.000000:0.000000
 :@0.500820:0.267059:0.503170:0.267059:0.503170:0.257898:0.500820:0.257898:0.000000
24 y 2 es un factor o divisor de :@0.518364:0.263887:0.741999:0.263887:0.741999:0.248174:0.518364:0.248174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.741699:0.263887:0.750958:0.263887:0.750958:0.248451:0.741699:0.248451:0.000000
n :@0.750896:0.267059:0.758322:0.267059:0.758322:0.258060:0.750896:0.258060:0.000000:0.000000
5:@0.758288:0.263332:0.773621:0.263332:0.773621:0.249616:0.758288:0.249616:0.000000
 20 :@0.773529:0.263887:0.799409:0.263887:0.799409:0.248174:0.773529:0.248174:0.000000:0.000000:0.000000:0.000000
p:@0.194363:0.288741:0.202780:0.288741:0.202780:0.274709:0.194363:0.274709:0.000000
q:@0.194363:0.305131:0.202780:0.305131:0.202780:0.291098:0.194363:0.291098:0.000000
 :@0.202780:0.305131:0.206445:0.305131:0.206445:0.290846:0.202780:0.290846:0.000000
   :@0.209639:0.298358:0.232869:0.298358:0.232869:0.282645:0.209639:0.282645:0.000000:0.000000:0.000000
5 2:@0.213597:0.297803:0.248129:0.297803:0.248129:0.284087:0.213597:0.284087:0.000000:0.000000:0.000000
4:@0.255085:0.287950:0.263251:0.287950:0.263251:0.273666:0.255085:0.273666:0.000000
5 :@0.255085:0.304340:0.266916:0.304340:0.266916:0.290056:0.255085:0.290056:0.000000:0.000000
;   4 es un factor o divisor de :@0.270224:0.298358:0.486366:0.298358:0.486366:0.282645:0.270224:0.282645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.281250:0.297803:0.296584:0.297803:0.296584:0.284087:0.281250:0.284087:0.000000
a:@0.486105:0.298358:0.495363:0.298358:0.495363:0.282923:0.486105:0.282923:0.000000
0 :@0.495297:0.301530:0.502841:0.301530:0.502841:0.292370:0.495297:0.292370:0.000000:0.000000
52:@0.502790:0.297803:0.535667:0.297803:0.535667:0.284087:0.502790:0.284087:0.000000:0.000000
 :@0.518031:0.301530:0.520381:0.301530:0.520381:0.292370:0.518031:0.292370:0.000000
24 y 5 es un factor o divisor de :@0.535575:0.298358:0.759210:0.298358:0.759210:0.282645:0.535575:0.282645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.758910:0.298358:0.768169:0.298358:0.768169:0.282923:0.758910:0.282923:0.000000
n :@0.768107:0.301530:0.775533:0.301530:0.775533:0.292531:0.768107:0.292531:0.000000:0.000000
5:@0.775498:0.297803:0.790832:0.297803:0.790832:0.284087:0.775498:0.284087:0.000000
 20 :@0.790740:0.298358:0.816620:0.298358:0.816620:0.282645:0.790740:0.282645:0.000000:0.000000:0.000000:0.000000
0:@0.433547:0.506430:0.441713:0.506430:0.441713:0.492146:0.433547:0.492146:0.000000
2:@0.339034:0.507010:0.352973:0.507010:0.352973:0.494541:0.339034:0.494541:0.000000
1:@0.352973:0.507514:0.361139:0.507514:0.361139:0.493230:0.352973:0.493230:0.000000
2:@0.406890:0.569568:0.420829:0.569568:0.420829:0.557099:0.406890:0.557099:0.000000
20:@0.420829:0.570072:0.437161:0.570072:0.437161:0.555788:0.420829:0.555788:0.000000:0.000000
2:@0.406890:0.640031:0.420829:0.640031:0.420829:0.627562:0.406890:0.627562:0.000000
40:@0.420829:0.640535:0.437161:0.640535:0.437161:0.626251:0.420829:0.626251:0.000000:0.000000
1:@0.535473:0.508056:0.543639:0.508056:0.543639:0.493772:0.535473:0.493772:0.000000
2:@0.629517:0.508056:0.637683:0.508056:0.637683:0.493772:0.629517:0.493772:0.000000
3:@0.723193:0.507514:0.731360:0.507514:0.731360:0.493230:0.723193:0.493230:0.000000
20:@0.420913:0.429537:0.437245:0.429537:0.437245:0.415253:0.420913:0.415253:0.000000:0.000000
40:@0.420913:0.359150:0.437245:0.359150:0.437245:0.344865:0.420913:0.344865:0.000000:0.000000
y:@0.432593:0.326950:0.439956:0.326950:0.439956:0.312666:0.432593:0.312666:0.000000
x:@0.806260:0.506569:0.813439:0.506569:0.813439:0.492284:0.806260:0.492284:0.000000
2:@0.241325:0.507010:0.255264:0.507010:0.255264:0.494541:0.241325:0.494541:0.000000
2:@0.255264:0.507514:0.263430:0.507514:0.263430:0.493230:0.255264:0.493230:0.000000
(1.5, 0):@0.596287:0.490944:0.639143:0.490944:0.639143:0.476660:0.596287:0.476660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( 5, 0):@0.296433:0.559466:0.342150:0.559466:0.342150:0.545181:0.296433:0.545181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.300867:0.558961:0.314807:0.558961:0.314807:0.546493:0.300867:0.546493:0.000000
(0,  24):@0.385641:0.587593:0.439524:0.587593:0.439524:0.573309:0.385641:0.573309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.404818:0.587089:0.418757:0.587089:0.418757:0.574620:0.404818:0.574620:0.000000
(0.35,  26.45):@0.463805:0.600957:0.556176:0.600957:0.556176:0.586673:0.463805:0.586673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.502226:0.600453:0.516165:0.600453:0.516165:0.587984:0.502226:0.587984:0.000000
( 0.8, 0):@0.373844:0.490944:0.430639:0.490944:0.430639:0.476660:0.373844:0.476660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.378278:0.490440:0.392218:0.490440:0.392218:0.477971:0.378278:0.477971:0.000000
Figura 4.7:@0.875585:0.668325:0.926911:0.668325:0.926911:0.656897:0.875585:0.656897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.4 Pautas generales para graficar funciones polinómicas      ( )::@0.073089:0.698062:0.587479:0.698062:0.587479:0.681115:0.073089:0.681115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.522299:0.698062:0.530987:0.698062:0.530987:0.682363:0.522299:0.682363:0.000000
5:@0.534650:0.697507:0.549984:0.697507:0.549984:0.683792:0.534650:0.683792:0.000000
p x:@0.553628:0.698062:0.577742:0.698062:0.577742:0.682363:0.553628:0.682363:0.000000:0.000000:0.000000
a.  Factorizar el polinomio  ( ) para determinar los ceros de la función.:@0.104633:0.726855:0.619733:0.726855:0.619733:0.711142:0.104633:0.711142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.304254:0.726855:0.325699:0.726855:0.325699:0.711420:0.304254:0.711420:0.000000:0.000000:0.000000
b.  Elaborar una tabla de valores que incluya puntos de prueba para saber si la gráfica está por encima o por :@0.104633:0.755648:0.930278:0.755648:0.930278:0.739935:0.104633:0.739935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debajo del eje x en los intervalos determinados por los ceros de la función.:@0.134760:0.772290:0.674492:0.772290:0.674492:0.756577:0.134760:0.756577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  Determinar el punto de corte de la gráfica con el eje  .:@0.104633:0.801082:0.526945:0.801082:0.526945:0.785370:0.104633:0.785370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.516343:0.801082:0.523816:0.801082:0.523816:0.785647:0.516343:0.785647:0.000000
d.  Determinar el comportamiento de la gráfica de izquierda a derecha teniendo en cuenta el valor   y si el grado :@0.104633:0.829875:0.931001:0.829875:0.931001:0.814163:0.104633:0.814163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.823597:0.829875:0.832855:0.829875:0.832855:0.814440:0.823597:0.814440:0.000000
n:@0.832792:0.833048:0.838329:0.833048:0.838329:0.824049:0.832792:0.824049:0.000000
del polinomio es par o impar.:@0.134747:0.846517:0.346533:0.846517:0.346533:0.830804:0.134747:0.830804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e.  Ubicar sobre el plano cartesiano los puntos que representan a los pares ordenados de la tabla de valores par :@0.104633:0.875309:0.920113:0.875309:0.920113:0.859596:0.104633:0.859596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.919443:0.875309:0.926917:0.875309:0.926917:0.859873:0.919443:0.859873:0.000000
 :@0.926917:0.875309:0.930727:0.875309:0.930727:0.858362:0.926917:0.858362:0.000000
5:@0.134760:0.891396:0.150094:0.891396:0.150094:0.877680:0.134760:0.877680:0.000000
 :@0.150002:0.891951:0.153812:0.891951:0.153812:0.875004:0.150002:0.875004:0.000000
p x:@0.153738:0.891951:0.175183:0.891951:0.175183:0.876515:0.153738:0.876515:0.000000:0.000000:0.000000
( ), incluyendo el punto de corte con el eje  . :@0.162923:0.891951:0.490646:0.891951:0.490646:0.876238:0.162923:0.876238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.476012:0.891951:0.483486:0.891951:0.483486:0.876515:0.476012:0.876515:0.000000
f. :@0.104633:0.920744:0.115971:0.920744:0.115971:0.905031:0.104633:0.905031:0.000000:0.000000:0.000000
Elaborar el bosquejo de la gráfica trazando una curva suave y continua que pase por estos puntos y que tenga :@0.134834:0.920744:0.931472:0.920744:0.931472:0.905031:0.134834:0.905031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en cuenta el comportamiento de la gráfica.:@0.134760:0.937386:0.447717:0.937386:0.447717:0.921673:0.134760:0.921673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. Explora las distintas maneras de representar una función (tablas, gráficas, etc.).:@0.083341:0.971338:0.533481:0.971338:0.533481:0.959911:0.083341:0.959911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000