53:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
4. :@0.514437:0.654092:0.533178:0.654092:0.533178:0.636956:0.514437:0.636956:0.000000:0.000000:0.000000
Los valores en la tabla corresponden a dos :@0.547680:0.654092:0.888721:0.654092:0.888721:0.637703:0.547680:0.637703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos de una función lineal.:@0.547680:0.670688:0.760995:0.670688:0.760995:0.654299:0.547680:0.654299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514437:0.731113:0.518159:0.731113:0.518159:0.713977:0.514437:0.713977:0.000000
x:@0.572403:0.697771:0.580160:0.697771:0.580160:0.682658:0.572403:0.682658:0.000000
0:@0.628557:0.697771:0.636733:0.697771:0.636733:0.682872:0.628557:0.682872:0.000000
6:@0.684929:0.697771:0.693104:0.697771:0.693104:0.682872:0.684929:0.682872:0.000000
12:@0.737214:0.697771:0.753564:0.697771:0.753564:0.682872:0.737214:0.682872:0.000000:0.000000
y:@0.572336:0.722715:0.580227:0.722715:0.580227:0.707603:0.572336:0.707603:0.000000
0:@0.628557:0.722715:0.636733:0.722715:0.636733:0.707816:0.628557:0.707816:0.000000
–4:@0.680741:0.722715:0.697293:0.722715:0.697293:0.707816:0.680741:0.707816:0.000000:0.000000
–8:@0.737113:0.722715:0.753664:0.722715:0.753664:0.707816:0.737113:0.707816:0.000000:0.000000
a) :@0.547679:0.754831:0.566401:0.754831:0.566401:0.737930:0.547679:0.737930:0.000000:0.000000:0.000000
Determina :@0.580922:0.754831:0.666518:0.754831:0.666518:0.738207:0.580922:0.738207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su pendiente.:@0.666518:0.754831:0.766431:0.754831:0.766431:0.738442:0.666518:0.738442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_________________________________________:@0.580919:0.799301:0.877939:0.799301:0.877939:0.785892:0.580919:0.785892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.547679:0.836686:0.567709:0.836686:0.567709:0.819785:0.547679:0.819785:0.000000:0.000000:0.000000
Describe:@0.580922:0.836686:0.648183:0.836686:0.648183:0.820062:0.580922:0.820062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  la  monotonía  de  la  función, :@0.648183:0.836686:0.888686:0.836686:0.888686:0.820297:0.648183:0.820297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde es creciente o decreciente. :@0.580922:0.853282:0.834355:0.853282:0.834355:0.836893:0.580922:0.836893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justifi-:@0.834706:0.853282:0.884681:0.853282:0.884681:0.836658:0.834706:0.836658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ca:@0.580922:0.869879:0.598060:0.869879:0.598060:0.853255:0.580922:0.853255:0.000000:0.000000
 tu respuesta.:@0.598060:0.869879:0.695689:0.869879:0.695689:0.853490:0.598060:0.853490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_________________________________________:@0.580919:0.894189:0.884573:0.894189:0.884573:0.880780:0.580919:0.880780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_________________________________________:@0.580919:0.915564:0.877939:0.915564:0.877939:0.902155:0.580919:0.902155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.547679:0.172018:0.565314:0.172018:0.565314:0.155117:0.547679:0.155117:0.000000:0.000000:0.000000
Compara:@0.580922:0.172018:0.651076:0.172018:0.651076:0.155394:0.580922:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  los  valores  obtenidos  en  los :@0.651076:0.172018:0.888684:0.172018:0.888684:0.155629:0.651076:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884646:0.172018:0.888682:0.172018:0.888682:0.155629:0.884646:0.155629:0.000000
incisos anteriores y :@0.580922:0.188614:0.723515:0.188614:0.723515:0.172225:0.580922:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
concluye:@0.723515:0.188614:0.792490:0.188614:0.792490:0.171990:0.723515:0.171990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.792490:0.188614:0.795696:0.188614:0.795696:0.172225:0.792490:0.172225:0.000000
_________________________________________:@0.580919:0.212924:0.884573:0.212924:0.884573:0.199515:0.580919:0.199515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_________________________________________:@0.580919:0.234299:0.884573:0.234299:0.884573:0.220890:0.580919:0.220890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_________________________________________:@0.580919:0.255675:0.877939:0.255675:0.877939:0.242266:0.580919:0.242266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.120578:0.670438:0.139319:0.670438:0.139319:0.653302:0.120578:0.653302:0.000000:0.000000:0.000000
Completa:@0.153821:0.670438:0.228840:0.670438:0.228840:0.653814:0.153821:0.653814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla de valores de la siguiente :@0.228840:0.670438:0.497847:0.670438:0.497847:0.654049:0.228840:0.654049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función lineal.  ( ) = 80 .:@0.153821:0.687035:0.329621:0.687035:0.329621:0.670646:0.153821:0.670646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.259983:0.687035:0.277029:0.687035:0.277029:0.670673:0.259983:0.670673:0.000000:0.000000:0.000000
x:@0.318951:0.687035:0.326415:0.687035:0.326415:0.670673:0.318951:0.670673:0.000000
 :@0.120578:0.747459:0.124300:0.747459:0.124300:0.730323:0.120578:0.730323:0.000000
x:@0.178545:0.714118:0.186301:0.714118:0.186301:0.699005:0.178545:0.699005:0.000000
0:@0.234699:0.714118:0.242874:0.714118:0.242874:0.699219:0.234699:0.699219:0.000000
1:@0.291070:0.714118:0.299246:0.714118:0.299246:0.699219:0.291070:0.699219:0.000000
2:@0.347442:0.714118:0.355617:0.714118:0.355617:0.699219:0.347442:0.699219:0.000000
4:@0.460186:0.714118:0.468361:0.714118:0.468361:0.699219:0.460186:0.699219:0.000000
y:@0.178478:0.739063:0.186368:0.739063:0.186368:0.723950:0.178478:0.723950:0.000000
0:@0.234699:0.739063:0.242874:0.739063:0.242874:0.724164:0.234699:0.724164:0.000000
240:@0.395639:0.739063:0.420164:0.739063:0.420164:0.724164:0.395639:0.724164:0.000000:0.000000:0.000000
a) :@0.153820:0.780119:0.172542:0.780119:0.172542:0.763218:0.153820:0.763218:0.000000:0.000000:0.000000
Calcula:@0.187063:0.780119:0.242493:0.780119:0.242493:0.763495:0.187063:0.763495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.242493:0.780119:0.246529:0.780119:0.246529:0.763730:0.242493:0.763730:0.000000
Δ:@0.250975:0.772271:0.262253:0.772271:0.262253:0.756698:0.250975:0.756698:0.000000
Δ:@0.250975:0.791719:0.262253:0.791719:0.262253:0.776146:0.250975:0.776146:0.000000
y:@0.262074:0.771593:0.269555:0.771593:0.269555:0.756200:0.262074:0.756200:0.000000
x:@0.262074:0.791041:0.269537:0.791041:0.269537:0.775648:0.262074:0.775648:0.000000
 para las columnas 3 y 4.:@0.274435:0.780119:0.451359:0.780119:0.451359:0.763730:0.274435:0.763730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________:@0.187060:0.824588:0.493126:0.824588:0.493126:0.811179:0.187060:0.811179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153820:0.872128:0.173851:0.872128:0.173851:0.855227:0.153820:0.855227:0.000000:0.000000:0.000000
Calcula:@0.187063:0.872128:0.242493:0.872128:0.242493:0.855504:0.187063:0.855504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.242493:0.872128:0.246529:0.872128:0.246529:0.855739:0.242493:0.855739:0.000000
Δ:@0.250975:0.864280:0.262253:0.864280:0.262253:0.848707:0.250975:0.848707:0.000000
Δ:@0.250975:0.883728:0.262253:0.883728:0.262253:0.868155:0.250975:0.868155:0.000000
y:@0.262074:0.863602:0.269555:0.863602:0.269555:0.848209:0.262074:0.848209:0.000000
x:@0.262074:0.883050:0.269537:0.883050:0.269537:0.867657:0.262074:0.867657:0.000000
 para las columnas 2 y 5.:@0.274435:0.872128:0.451359:0.872128:0.451359:0.855739:0.274435:0.855739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________:@0.187060:0.916598:0.493126:0.916598:0.493126:0.903189:0.187060:0.903189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.514437:0.287516:0.533178:0.287516:0.533178:0.270380:0.514437:0.270380:0.000000:0.000000:0.000000
Completa:@0.547680:0.287516:0.622699:0.287516:0.622699:0.270892:0.547680:0.270892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla de valores de la siguiente :@0.622699:0.287516:0.888719:0.287516:0.888719:0.271127:0.622699:0.271127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función lineal.:@0.547680:0.304112:0.649806:0.304112:0.649806:0.287723:0.547680:0.287723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514437:0.485704:0.518159:0.485704:0.518159:0.468568:0.514437:0.468568:0.000000
 :@0.514437:0.546126:0.518159:0.546126:0.518159:0.528991:0.514437:0.528991:0.000000
x:@0.567657:0.512790:0.575414:0.512790:0.575414:0.497677:0.567657:0.497677:0.000000
–4:@0.610862:0.512790:0.627413:0.512790:0.627413:0.497891:0.610862:0.497891:0.000000:0.000000
0:@0.663364:0.512790:0.671539:0.512790:0.671539:0.497891:0.663364:0.497891:0.000000
4:@0.711678:0.512790:0.719853:0.512790:0.719853:0.497891:0.711678:0.497891:0.000000
8:@0.759992:0.512790:0.768167:0.512790:0.768167:0.497891:0.759992:0.497891:0.000000
–2:@0.804118:0.512790:0.820669:0.512790:0.820669:0.497891:0.804118:0.497891:0.000000:0.000000
6:@0.856620:0.512790:0.864795:0.512790:0.864795:0.497891:0.856620:0.497891:0.000000
y:@0.567590:0.537735:0.575481:0.537735:0.575481:0.522622:0.567590:0.522622:0.000000
4:@0.759992:0.537735:0.768167:0.537735:0.768167:0.522836:0.759992:0.522836:0.000000
Escribe:@0.547680:0.569850:0.602427:0.569850:0.602427:0.553226:0.547680:0.553226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una expresión algebraica  para la :@0.602427:0.569850:0.888709:0.569850:0.888709:0.553461:0.602427:0.553461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884648:0.569850:0.888684:0.569850:0.888684:0.553461:0.884648:0.553461:0.000000
función::@0.547680:0.586447:0.607128:0.586447:0.607128:0.570058:0.547680:0.570058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514437:0.623844:0.518472:0.623844:0.518472:0.607455:0.514437:0.607455:0.000000
________________________________________:@0.547680:0.623844:0.880299:0.623844:0.880299:0.607455:0.547680:0.607455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.120583:0.172021:0.139324:0.172021:0.139324:0.154886:0.120583:0.154886:0.000000:0.000000:0.000000
Observa:@0.153826:0.172021:0.217697:0.172021:0.217697:0.155397:0.153826:0.155397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la siguiente figura y :@0.217697:0.172021:0.369981:0.172021:0.369981:0.155632:0.217697:0.155632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responde:@0.370349:0.172021:0.443177:0.172021:0.443177:0.155397:0.370349:0.155397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verda-:@0.443177:0.172021:0.493835:0.172021:0.493835:0.155632:0.443177:0.155632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dero (V) o falso (F) según corresponda.:@0.153826:0.188618:0.437111:0.188618:0.437111:0.172229:0.153826:0.172229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120583:0.370210:0.124305:0.370210:0.124305:0.353074:0.120583:0.353074:0.000000
Taller:@0.179762:0.130414:0.240657:0.130414:0.240657:0.096466:0.179762:0.096466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.3.3. Determina el comportamiento (función creciente o decreciente) de las funciones lineales en  . :@0.260784:0.108925:0.747742:0.108925:0.747742:0.098496:0.260784:0.098496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.734835:0.109588:0.743301:0.109588:0.743301:0.098929:0.734835:0.098929:0.000000
I.M.4.3.4. Utiliza las TIC para graficar funciones lineales, cuadráticas y potencia (n=1, 2), y para analizar las características geométricas :@0.260780:0.119486:0.872310:0.119486:0.872310:0.109057:0.260780:0.109057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función lineal (pendiente e intersecciones).:@0.260780:0.130048:0.485999:0.130048:0.485999:0.119618:0.260780:0.119618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto  (0, 0) pertenece al gráfico de :@0.160464:0.398664:0.453445:0.398664:0.453445:0.382275:0.160464:0.382275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.227890:0.398664:0.236662:0.398664:0.236662:0.382302:0.227890:0.382302:0.000000
la función  .:@0.160464:0.415260:0.244954:0.415260:0.244954:0.398871:0.160464:0.398871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.237049:0.415260:0.241748:0.415260:0.241748:0.398899:0.237049:0.398899:0.000000
El punto  (2, 2) pertenece a la función :@0.160464:0.439366:0.437411:0.439366:0.437411:0.422977:0.160464:0.422977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.224924:0.439366:0.233695:0.439366:0.233695:0.423005:0.224924:0.423005:0.000000
g.:@0.437098:0.439366:0.449352:0.439366:0.449352:0.423005:0.437098:0.423005:0.000000:0.000000
El gráfico de la función   tiene pendiente :@0.160464:0.463473:0.453408:0.463473:0.453408:0.447084:0.160464:0.447084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.326073:0.463473:0.330772:0.463473:0.330772:0.447111:0.326073:0.447111:0.000000
negativa.:@0.160464:0.480069:0.225937:0.480069:0.225937:0.463680:0.160464:0.463680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.160464:0.504175:0.169733:0.504175:0.169733:0.487814:0.160464:0.487814:0.000000
 es una función lineal y   afín.:@0.169733:0.504175:0.379845:0.504175:0.379845:0.487786:0.169733:0.487786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.340981:0.504175:0.345680:0.504175:0.345680:0.487814:0.340981:0.487814:0.000000
f:@0.160464:0.530259:0.165163:0.530259:0.165163:0.513898:0.160464:0.513898:0.000000
 es una función lineal y   afín.:@0.165163:0.530259:0.379845:0.530259:0.379845:0.513870:0.165163:0.513870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.336411:0.530259:0.345680:0.530259:0.345680:0.513898:0.336411:0.513898:0.000000
Las rectas definidas por ambas funcio-:@0.160464:0.554365:0.449372:0.554365:0.449372:0.537976:0.160464:0.537976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes tienen la misma pendiente.:@0.160464:0.570962:0.390234:0.570962:0.390234:0.554573:0.160464:0.554573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen infinitas funciones afines con :@0.160464:0.593076:0.453424:0.593076:0.453424:0.576688:0.160464:0.576688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráficos paralelos a una función afín.:@0.160464:0.609673:0.426669:0.609673:0.426669:0.593284:0.160464:0.593284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ambas funciones son decrecientes.:@0.160464:0.633779:0.419092:0.633779:0.419092:0.617390:0.160464:0.617390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1 0:@0.230882:0.315414:0.260504:0.315414:0.260504:0.303495:0.230882:0.303495:0.000000:0.000000:0.000000:0.000000
1:@0.253960:0.286446:0.260501:0.286446:0.260501:0.274527:0.253960:0.274527:0.000000
y:@0.271303:0.226097:0.276064:0.226097:0.276064:0.215685:0.271303:0.215685:0.000000
x:@0.427490:0.299903:0.432239:0.299903:0.432239:0.289491:0.427490:0.289491:0.000000
1:@0.289104:0.315414:0.295644:0.315414:0.295644:0.303495:0.289104:0.303495:0.000000
3:@0.344279:0.315414:0.350819:0.315414:0.350819:0.303495:0.344279:0.303495:0.000000
2:@0.253964:0.265152:0.260504:0.265152:0.260504:0.253233:0.253964:0.253233:0.000000
g:@0.361742:0.267586:0.368483:0.267586:0.368483:0.255687:0.361742:0.255687:0.000000
f:@0.363404:0.297762:0.366821:0.297762:0.366821:0.285862:0.363404:0.285862:0.000000
2:@0.316028:0.315414:0.322568:0.315414:0.322568:0.303495:0.316028:0.303495:0.000000
4:@0.371204:0.315414:0.377744:0.315414:0.377744:0.303495:0.371204:0.303495:0.000000
3:@0.253964:0.244180:0.260504:0.244180:0.260504:0.232261:0.253964:0.232261:0.000000
5:@0.399602:0.315414:0.406143:0.315414:0.406143:0.303495:0.399602:0.303495:0.000000
–1:@0.246660:0.329194:0.259901:0.329194:0.259901:0.317275:0.246660:0.317275:0.000000:0.000000
–2:@0.202098:0.315414:0.215339:0.315414:0.215339:0.303495:0.202098:0.303495:0.000000:0.000000
–2:@0.623096:0.430779:0.636337:0.430779:0.636337:0.418860:0.623096:0.418860:0.000000:0.000000
–2:@0.667148:0.464988:0.680389:0.464988:0.680389:0.453068:0.667148:0.453068:0.000000:0.000000
2:@0.736986:0.430779:0.743526:0.430779:0.743526:0.418860:0.736986:0.418860:0.000000
2:@0.672402:0.380406:0.678942:0.380406:0.678942:0.368487:0.672402:0.368487:0.000000
x:@0.857549:0.415543:0.862299:0.415543:0.862299:0.405131:0.857549:0.405131:0.000000
y:@0.695358:0.320394:0.700119:0.320394:0.700119:0.309983:0.695358:0.309983:0.000000
f:@0.868397:0.361883:0.871387:0.361883:0.871387:0.351471:0.868397:0.351471:0.000000
0:@0.672775:0.430779:0.679316:0.430779:0.679316:0.418860:0.672775:0.418860:0.000000
6:@0.846920:0.430779:0.853460:0.430779:0.853460:0.418860:0.846920:0.418860:0.000000
4:@0.792066:0.430779:0.798606:0.430779:0.798606:0.418860:0.792066:0.418860:0.000000
4:@0.672400:0.338845:0.678940:0.338845:0.678940:0.326926:0.672400:0.326926:0.000000
–4:@0.569326:0.430779:0.582567:0.430779:0.582567:0.418860:0.569326:0.418860:0.000000:0.000000
Los valores obtenidos son iguales y :@0.583591:0.212989:0.836436:0.212989:0.836436:0.196600:0.583591:0.196600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coinciden con la constante que aparece :@0.583591:0.235616:0.871265:0.235616:0.871265:0.219227:0.583591:0.219227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la función junto a la variable  .:@0.583591:0.258242:0.820994:0.258242:0.820994:0.241853:0.583591:0.241853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.803746:0.258242:0.814268:0.258242:0.814268:0.241881:0.803746:0.241881:0.000000:0.000000
La función es decreciente porque su :@0.581914:0.893302:0.843365:0.893302:0.843365:0.876913:0.581914:0.876913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente es negativa.:@0.581914:0.915929:0.743229:0.915929:0.743229:0.899540:0.581914:0.899540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.561814:0.615757:0.585015:0.615757:0.585015:0.595823:0.561814:0.595823:0.000000:0.000000
=:@0.587677:0.613303:0.597793:0.613303:0.597793:0.597730:0.587677:0.597730:0.000000
fx:@0.553014:0.612625:0.577173:0.612625:0.577173:0.596264:0.553014:0.596264:0.000000:0.000000
x:@0.603266:0.604105:0.610730:0.604105:0.610730:0.587744:0.603266:0.587744:0.000000
2:@0.602544:0.623548:0.611537:0.623548:0.611537:0.607159:0.602544:0.607159:0.000000
Δ:@0.193705:0.804536:0.204983:0.804536:0.204983:0.788963:0.193705:0.788963:0.000000
Δ:@0.193705:0.823984:0.204983:0.823984:0.204983:0.808411:0.193705:0.808411:0.000000
=:@0.217787:0.813060:0.227904:0.813060:0.227904:0.797487:0.217787:0.797487:0.000000
y:@0.204814:0.803863:0.212296:0.803863:0.212296:0.788470:0.204814:0.788470:0.000000
x:@0.204806:0.823305:0.212269:0.823305:0.212269:0.807911:0.204806:0.807911:0.000000
80:@0.230457:0.812381:0.248240:0.812381:0.248240:0.796711:0.230457:0.796711:0.000000:0.000000
Δ:@0.193705:0.895061:0.204983:0.895061:0.204983:0.879488:0.193705:0.879488:0.000000
Δ:@0.193705:0.914509:0.204983:0.914509:0.204983:0.898936:0.193705:0.898936:0.000000
=:@0.217787:0.903586:0.227904:0.903586:0.227904:0.888013:0.217787:0.888013:0.000000
y:@0.204814:0.894389:0.212296:0.894389:0.212296:0.878995:0.204814:0.878995:0.000000
x:@0.204806:0.913830:0.212269:0.913830:0.212269:0.898437:0.204806:0.898437:0.000000
80:@0.230457:0.902907:0.248240:0.902907:0.248240:0.887237:0.230457:0.887237:0.000000:0.000000
=:@0.602648:0.787669:0.612765:0.787669:0.612765:0.772096:0.602648:0.772096:0.000000
Δ:@0.617151:0.779149:0.628428:0.779149:0.628428:0.763576:0.617151:0.763576:0.000000
Δ:@0.617149:0.798591:0.628427:0.798591:0.628427:0.783018:0.617149:0.783018:0.000000
=:@0.641231:0.787668:0.651347:0.787668:0.651347:0.772095:0.641231:0.772095:0.000000
m:@0.585376:0.786990:0.600008:0.786990:0.600008:0.771597:0.585376:0.771597:0.000000
y:@0.628258:0.778470:0.635739:0.778470:0.635739:0.763077:0.628258:0.763077:0.000000
x:@0.628248:0.797912:0.635711:0.797912:0.635711:0.782519:0.628248:0.782519:0.000000
–:@0.654266:0.786989:0.663480:0.786989:0.663480:0.771319:0.654266:0.771319:0.000000
2:@0.666410:0.778469:0.675402:0.778469:0.675402:0.762799:0.666410:0.762799:0.000000
3:@0.666621:0.797911:0.675613:0.797911:0.675613:0.782241:0.666621:0.782241:0.000000
V:@0.470277:0.407129:0.479657:0.407129:0.479657:0.390740:0.470277:0.390740:0.000000
V:@0.470277:0.530841:0.479657:0.530841:0.479657:0.514452:0.470277:0.514452:0.000000
V:@0.470277:0.439686:0.479657:0.439686:0.479657:0.423297:0.470277:0.423297:0.000000
V:@0.470277:0.601805:0.479657:0.601805:0.479657:0.585416:0.470277:0.585416:0.000000
V:@0.470277:0.562610:0.479657:0.562610:0.479657:0.546221:0.470277:0.546221:0.000000
F:@0.470701:0.471814:0.479215:0.471814:0.479215:0.455425:0.470701:0.455425:0.000000
F:@0.470701:0.633932:0.479215:0.633932:0.479215:0.617543:0.470701:0.617543:0.000000
80:@0.287217:0.740122:0.304945:0.740122:0.304945:0.723733:0.287217:0.723733:0.000000:0.000000
–2:@0.609812:0.538891:0.627760:0.538891:0.627760:0.522502:0.609812:0.522502:0.000000:0.000000
0:@0.663123:0.538891:0.672115:0.538891:0.672115:0.522502:0.663123:0.522502:0.000000
–1:@0.805016:0.538891:0.822964:0.538891:0.822964:0.522502:0.805016:0.522502:0.000000:0.000000
2:@0.712711:0.538891:0.721704:0.538891:0.721704:0.522502:0.712711:0.522502:0.000000
3:@0.855728:0.538891:0.864721:0.538891:0.864721:0.522502:0.855728:0.522502:0.000000
3:@0.402537:0.716264:0.411530:0.716264:0.411530:0.699875:0.402537:0.699875:0.000000
160:@0.338520:0.740122:0.364982:0.740122:0.364982:0.723733:0.338520:0.723733:0.000000:0.000000:0.000000
320:@0.451721:0.740122:0.478183:0.740122:0.478183:0.723733:0.451721:0.723733:0.000000:0.000000:0.000000
F:@0.470701:0.503443:0.479215:0.503443:0.479215:0.487055:0.470701:0.487055:0.000000
 ©:@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