112:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000
Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 5. Función potencia:@0.073089:0.098522:0.450166:0.098522:0.450166:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones potencia son aquellas que tienen la forma  ( ) = :@0.293771:0.242654:0.790822:0.242654:0.790822:0.226221:0.293771:0.226221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.745908:0.242654:0.763542:0.242654:0.763542:0.226248:0.745908:0.226248:0.000000:0.000000:0.000000
ax:@0.793251:0.242654:0.810241:0.242654:0.810241:0.226248:0.793251:0.226248:0.000000:0.000000
n:@0.810529:0.236591:0.816067:0.236591:0.816067:0.227026:0.810529:0.227026:0.000000
, donde:   y   :@0.816229:0.242654:0.930943:0.242654:0.930943:0.226221:0.816229:0.226221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.886526:0.242654:0.895785:0.242654:0.895785:0.226248:0.886526:0.226248:0.000000
n:@0.917413:0.242654:0.926911:0.242654:0.926911:0.226248:0.917413:0.226248:0.000000
 :@0.926911:0.242654:0.930943:0.242654:0.930943:0.226221:0.926911:0.226221:0.000000
son números reales distintos de 0 y n es distinto de 1.:@0.293776:0.259296:0.679049:0.259296:0.679049:0.242862:0.293776:0.242862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta función está definida para los números reales y su gráfica depende del exponente.:@0.293776:0.286658:0.892223:0.286658:0.892223:0.270224:0.293776:0.270224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.1 Gráfica de una función potencia:@0.293776:0.314020:0.571791:0.314020:0.571791:0.297073:0.293776:0.297073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando el exponente es un número entero, tenemos los siguientes casos: :@0.293776:0.341382:0.832609:0.341382:0.832609:0.324948:0.293776:0.324948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exponente par positivo:@0.300200:0.374666:0.483179:0.374666:0.483179:0.357719:0.300200:0.357719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Su gráfica es una curva simétrica :@0.300200:0.402028:0.590793:0.402028:0.590793:0.385594:0.300200:0.385594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto al eje  .:@0.300200:0.418669:0.419552:0.418669:0.419552:0.402236:0.300200:0.402236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.408950:0.418669:0.416423:0.418669:0.416423:0.402263:0.408950:0.402263:0.000000
-4:@0.416477:0.504623:0.422367:0.504623:0.422367:0.498503:0.416477:0.498503:0.000000:0.000000
-3:@0.416477:0.492685:0.422367:0.492685:0.422367:0.486564:0.416477:0.486564:0.000000:0.000000
-2:@0.416028:0.480747:0.421918:0.480747:0.421918:0.474627:0.416028:0.474627:0.000000:0.000000
-1:@0.416477:0.468809:0.422367:0.468809:0.422367:0.462689:0.416477:0.462689:0.000000:0.000000
-2:@0.377595:0.461401:0.383485:0.461401:0.383485:0.455280:0.377595:0.455280:0.000000:0.000000
-1:@0.399510:0.461399:0.405400:0.461399:0.405400:0.455278:0.399510:0.455278:0.000000:0.000000
1:@0.419070:0.444931:0.422754:0.444931:0.422754:0.438810:0.419070:0.438810:0.000000
0:@0.418983:0.454380:0.422668:0.454380:0.422668:0.448259:0.418983:0.448259:0.000000
0:@0.432164:0.461399:0.435849:0.461399:0.435849:0.455278:0.432164:0.455278:0.000000
1:@0.445668:0.461420:0.449353:0.461420:0.449353:0.455300:0.445668:0.455300:0.000000
2:@0.467821:0.461420:0.471505:0.461420:0.471505:0.455300:0.467821:0.455300:0.000000
3:@0.489700:0.461420:0.493385:0.461420:0.493385:0.455300:0.489700:0.455300:0.000000
x:@0.510538:0.461420:0.513864:0.461420:0.513864:0.455300:0.510538:0.455300:0.000000
y:@0.418301:0.434748:0.421684:0.434748:0.421684:0.428627:0.418301:0.428627:0.000000
Si   < 0, la curva estará abierta hacia :@0.300188:0.540217:0.590961:0.540217:0.590961:0.523783:0.300188:0.523783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.319067:0.540217:0.328326:0.540217:0.328326:0.523811:0.319067:0.523811:0.000000
abajo. :@0.300181:0.556858:0.347317:0.556858:0.347317:0.540425:0.300181:0.540425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  > 0, la curva estará abierta hacia :@0.300181:0.584220:0.591023:0.584220:0.591023:0.567787:0.300181:0.567787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.319178:0.584220:0.331971:0.584220:0.331971:0.567814:0.319178:0.567814:0.000000:0.000000
arriba.:@0.300200:0.600862:0.344786:0.600862:0.344786:0.584428:0.300200:0.584428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exponente impar positivo:@0.300200:0.664143:0.503353:0.664143:0.503353:0.647196:0.300200:0.647196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica es una curva simétrica con :@0.300200:0.691505:0.590883:0.691505:0.590883:0.675071:0.300200:0.675071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto al origen. :@0.300200:0.708147:0.438300:0.708147:0.438300:0.691713:0.300200:0.691713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-4:@0.435031:0.803015:0.440808:0.803015:0.440808:0.797012:0.435031:0.797012:0.000000:0.000000
-3:@0.435031:0.791306:0.440808:0.791306:0.440808:0.785303:0.435031:0.785303:0.000000:0.000000
-2:@0.434591:0.779599:0.440368:0.779599:0.440368:0.773596:0.434591:0.773596:0.000000:0.000000
-1:@0.435031:0.767890:0.440808:0.767890:0.440808:0.761887:0.435031:0.761887:0.000000:0.000000
-4:@0.353917:0.760672:0.359694:0.760672:0.359694:0.754669:0.353917:0.754669:0.000000:0.000000
-3:@0.375408:0.760671:0.381185:0.760671:0.381185:0.754668:0.375408:0.754668:0.000000:0.000000
-2:@0.396900:0.760671:0.402676:0.760671:0.402676:0.754668:0.396900:0.754668:0.000000:0.000000
-1:@0.418391:0.760671:0.424168:0.760671:0.424168:0.754668:0.418391:0.754668:0.000000:0.000000
1:@0.437574:0.744472:0.441188:0.744472:0.441188:0.738469:0.437574:0.738469:0.000000
0:@0.438603:0.753272:0.442217:0.753272:0.442217:0.747269:0.438603:0.747269:0.000000
0:@0.445887:0.759243:0.449501:0.759243:0.449501:0.753240:0.445887:0.753240:0.000000
1:@0.463534:0.760671:0.467148:0.760671:0.467148:0.754668:0.463534:0.754668:0.000000
2:@0.485260:0.760671:0.488874:0.760671:0.488874:0.754668:0.485260:0.754668:0.000000
3:@0.506719:0.760671:0.510333:0.760671:0.510333:0.754668:0.506719:0.754668:0.000000
4 x:@0.527155:0.760671:0.539794:0.760082:0.539794:0.754079:0.527155:0.754668:0.000000:0.000000:0.000000
2:@0.437574:0.732764:0.441188:0.732764:0.441188:0.726761:0.437574:0.726761:0.000000
y:@0.436461:0.725137:0.439779:0.725137:0.439779:0.719134:0.436461:0.719134:0.000000
Si   < 0, la gráfica se encuentra en el se-:@0.300188:0.838516:0.586873:0.838516:0.586873:0.822083:0.300188:0.822083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.316323:0.838516:0.325582:0.838516:0.325582:0.822110:0.316323:0.822110:0.000000
gundo y cuarto cuadrante y la función :@0.300180:0.855158:0.590823:0.855158:0.590823:0.838724:0.300180:0.838724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decreciente.:@0.300180:0.871800:0.408635:0.871800:0.408635:0.855366:0.300180:0.855366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   > 0, la gráfica se encuentra en en el :@0.300180:0.899162:0.591082:0.899162:0.591082:0.882728:0.300180:0.882728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.316599:0.899162:0.325858:0.899162:0.325858:0.882756:0.316599:0.882756:0.000000
primer y tercer cuadrante y la función es :@0.300161:0.915804:0.590685:0.915804:0.590685:0.899370:0.300161:0.899370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente.:@0.300161:0.932446:0.370216:0.932446:0.370216:0.916012:0.300161:0.916012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exponente par negativo:@0.640198:0.374667:0.829451:0.374667:0.829451:0.357720:0.640198:0.357720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función tiene dos asíntotas, que son :@0.640198:0.402029:0.930976:0.402029:0.930976:0.385595:0.640198:0.385595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ejes   e  .:@0.640198:0.418671:0.731480:0.418671:0.731480:0.402237:0.640198:0.402237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.696746:0.418671:0.728351:0.418671:0.728351:0.402265:0.696746:0.402265:0.000000:0.000000:0.000000
-4:@0.774812:0.505335:0.780758:0.505335:0.780758:0.499157:0.774812:0.499157:0.000000:0.000000
-3:@0.774812:0.493284:0.780758:0.493284:0.780758:0.487106:0.774812:0.487106:0.000000:0.000000
-2:@0.774359:0.481235:0.780304:0.481235:0.780304:0.475057:0.774359:0.475057:0.000000:0.000000
-1:@0.774812:0.469185:0.780758:0.469185:0.780758:0.463007:0.774812:0.463007:0.000000:0.000000
-4:@0.691333:0.461756:0.697278:0.461756:0.697278:0.455578:0.691333:0.455578:0.000000:0.000000
-3:@0.713451:0.461754:0.719396:0.461754:0.719396:0.455576:0.713451:0.455576:0.000000:0.000000
-2:@0.735568:0.461756:0.741513:0.461756:0.741513:0.455578:0.735568:0.455578:0.000000:0.000000
-1:@0.757689:0.461756:0.763634:0.461756:0.763634:0.455578:0.757689:0.455578:0.000000:0.000000
1:@0.777431:0.445084:0.781150:0.445084:0.781150:0.438906:0.777431:0.438906:0.000000
0:@0.778490:0.454141:0.782209:0.454141:0.782209:0.447963:0.778490:0.447963:0.000000
0:@0.785986:0.460286:0.789706:0.460286:0.789706:0.454108:0.785986:0.454108:0.000000
1:@0.804148:0.461756:0.807868:0.461756:0.807868:0.455578:0.804148:0.455578:0.000000
2:@0.826508:0.461756:0.830228:0.461756:0.830228:0.455578:0.826508:0.455578:0.000000
3:@0.848593:0.461756:0.852312:0.461756:0.852312:0.455578:0.848593:0.455578:0.000000
4 x:@0.869626:0.461756:0.882647:0.461330:0.882647:0.455152:0.869626:0.455578:0.000000:0.000000:0.000000
y:@0.776067:0.435059:0.779482:0.435059:0.779482:0.428881:0.776067:0.428881:0.000000
Si   < 0, las curvas irán hacia abajo, y :@0.640219:0.540973:0.930734:0.540973:0.930734:0.524539:0.640219:0.524539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.658723:0.540973:0.667982:0.540973:0.667982:0.524567:0.658723:0.524567:0.000000
estarán en el tercer y cuarto cuadrante.:@0.640205:0.557615:0.922144:0.557615:0.922144:0.541181:0.640205:0.541181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  > 0, las curvas irán hacia arriba, y la :@0.640205:0.584977:0.930898:0.584977:0.930898:0.568543:0.640205:0.568543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.657048:0.584977:0.669620:0.584977:0.669620:0.568571:0.657048:0.568571:0.000000:0.000000
gráfica estará en el primer y segundo :@0.640224:0.601619:0.930843:0.601619:0.930843:0.585185:0.640224:0.585185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrante.:@0.640224:0.618261:0.717077:0.618261:0.717077:0.601827:0.640224:0.601827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exponente impar negativo:@0.640224:0.664137:0.849650:0.664137:0.849650:0.647190:0.640224:0.647190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función tiene dos asíntotas, que son :@0.640224:0.691498:0.931001:0.691498:0.931001:0.675065:0.640224:0.675065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ejes   e  .:@0.640224:0.708140:0.731505:0.708140:0.731505:0.691706:0.640224:0.691706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.696771:0.708140:0.728376:0.708140:0.728376:0.691734:0.696771:0.691734:0.000000:0.000000:0.000000
 :@0.678658:0.816187:0.682689:0.816187:0.682689:0.799754:0.678658:0.799754:0.000000
-3:@0.778045:0.798294:0.783136:0.798294:0.783136:0.793004:0.778045:0.793004:0.000000:0.000000
-2:@0.777657:0.787975:0.782748:0.787975:0.782748:0.782685:0.777657:0.782685:0.000000:0.000000
-1:@0.778045:0.777657:0.783136:0.777657:0.783136:0.772367:0.778045:0.772367:0.000000:0.000000
-4:@0.706560:0.771296:0.711651:0.771296:0.711651:0.766005:0.706560:0.766005:0.000000:0.000000
-3:@0.725499:0.771294:0.730590:0.771294:0.730590:0.766004:0.725499:0.766004:0.000000:0.000000
-2:@0.744440:0.771294:0.749531:0.771294:0.749531:0.766004:0.744440:0.766004:0.000000:0.000000
-1:@0.763381:0.771294:0.768473:0.771294:0.768473:0.766004:0.763381:0.766004:0.000000:0.000000
1:@0.780288:0.757018:0.783472:0.757018:0.783472:0.751728:0.780288:0.751728:0.000000
0:@0.781194:0.764774:0.784379:0.764774:0.784379:0.759483:0.781194:0.759483:0.000000
0:@0.787614:0.770036:0.790799:0.770036:0.790799:0.764746:0.787614:0.764746:0.000000
1:@0.803166:0.771294:0.806351:0.771294:0.806351:0.766004:0.803166:0.766004:0.000000
2:@0.822313:0.771294:0.825499:0.771294:0.825499:0.766004:0.822313:0.766004:0.000000
3:@0.841225:0.771294:0.844410:0.771294:0.844410:0.766004:0.841225:0.766004:0.000000
4 x:@0.859236:0.771294:0.870473:0.771294:0.870473:0.766004:0.859236:0.766004:0.000000:0.000000:0.000000
2:@0.780288:0.746699:0.783472:0.746699:0.783472:0.741409:0.780288:0.741409:0.000000
3:@0.780539:0.736382:0.783724:0.736382:0.783724:0.731091:0.780539:0.731091:0.000000
4:@0.780539:0.726063:0.783724:0.726063:0.783724:0.720772:0.780539:0.720772:0.000000
y:@0.777843:0.723552:0.780767:0.723552:0.780767:0.718262:0.777843:0.718262:0.000000
Si   < 0, la gráfica estará en el segundo y :@0.640219:0.843559:0.931191:0.843559:0.931191:0.827126:0.640219:0.827126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.655937:0.843559:0.665195:0.843559:0.665195:0.827153:0.655937:0.827153:0.000000
cuarto cuadrante. La función es :@0.640217:0.860201:0.930941:0.860201:0.930941:0.843767:0.640217:0.843767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente.:@0.640217:0.876843:0.710271:0.876843:0.710271:0.860409:0.640217:0.860409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   > 0, la gráfica estará en el primer y :@0.640217:0.904205:0.930737:0.904205:0.930737:0.887771:0.640217:0.887771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.657391:0.904205:0.666650:0.904205:0.666650:0.887799:0.657391:0.887799:0.000000
tercer cuadrante. La función es decre-:@0.640217:0.920847:0.926910:0.920847:0.926910:0.904413:0.640217:0.904413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciente.:@0.640217:0.937489:0.688135:0.937489:0.688135:0.921055:0.640217:0.921055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Infiere. ¿Cómo se localiza un par ordenado en el plano cartesiano?:@0.293253:0.171720:0.770901:0.171720:0.770901:0.155286:0.293253:0.155286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.341407:0.171720:0.345217:0.171720:0.345217:0.154773:0.341407:0.154773:0.000000
La ilusión óptica que :@0.078624:0.286861:0.218519:0.286861:0.218519:0.271921:0.078624:0.271921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se produce al observar :@0.078624:0.301990:0.231861:0.301990:0.231861:0.287050:0.078624:0.287050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un objeto sumergido :@0.078624:0.317119:0.222266:0.317119:0.222266:0.302179:0.078624:0.302179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el agua hace que se :@0.078624:0.332248:0.233713:0.332248:0.233713:0.317308:0.078624:0.317308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vea como si estuviera :@0.078624:0.347377:0.223934:0.347377:0.223934:0.332437:0.078624:0.332437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quebrado. Esto se debe a :@0.078624:0.362506:0.248392:0.362506:0.248392:0.347566:0.078624:0.347566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que los rayos de luz que :@0.078624:0.377635:0.241113:0.377635:0.241113:0.362695:0.078624:0.362695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
van del objeto al ojo sufren :@0.078624:0.392764:0.261378:0.392764:0.261378:0.377824:0.078624:0.377824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un cambio de dirección :@0.078624:0.407893:0.239112:0.407893:0.239112:0.392953:0.078624:0.392953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando atraviesan la :@0.078624:0.423022:0.217592:0.423022:0.217592:0.408082:0.078624:0.408082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frontera agua-aire.:@0.078624:0.438150:0.198656:0.438150:0.198656:0.423211:0.078624:0.423211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La representación del :@0.078624:0.453279:0.224029:0.453279:0.224029:0.438340:0.078624:0.438340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objeto se asemeja a la :@0.078624:0.468408:0.227398:0.468408:0.227398:0.453469:0.078624:0.453469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica de una función por :@0.078624:0.483537:0.256532:0.483537:0.256532:0.468597:0.078624:0.468597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partes, ya que se pueden :@0.078624:0.498666:0.247567:0.498666:0.247567:0.483726:0.078624:0.483726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
apreciar dos partes.:@0.078624:0.513795:0.206460:0.513795:0.206460:0.498855:0.078624:0.498855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.082856:0.258977:0.214204:0.258977:0.214204:0.242030:0.082856:0.242030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 2 (Ev. 3) Determina y describe relaciones al comparar características de gráficas y expresiones algebraicas o funciones:@0.278700:0.971366:0.919504:0.971366:0.919504:0.959414:0.278700:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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