56:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.623206:0.272331:0.623206:0.272331:0.604769:0.115209:0.604769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115209:0.643052:0.133931:0.643052:0.133931:0.626151:0.115209:0.626151:0.000000:0.000000:0.000000
Sea la función   =  :@0.148452:0.643052:0.293778:0.643052:0.293778:0.626663:0.148452:0.626663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  x:@0.252642:0.643052:0.284485:0.643052:0.284485:0.626690:0.252642:0.626690:0.000000:0.000000:0.000000:0.000000
2:@0.284498:0.637004:0.289741:0.637004:0.289741:0.627450:0.284498:0.627450:0.000000
determinemos:@0.292985:0.643052:0.405854:0.643052:0.405854:0.626428:0.292985:0.626428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio :@0.405854:0.643052:0.491525:0.643052:0.491525:0.626663:0.405854:0.626663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el recorrido de la función su gráfico, dónde :@0.148439:0.659648:0.491543:0.659648:0.491543:0.643259:0.148439:0.643259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es creciente y decreciente y el tipo de simetría.:@0.148439:0.676244:0.487498:0.676244:0.487498:0.659855:0.148439:0.659855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuántos kilómetros recorrió el auto pasado :@0.540837:0.856426:0.867095:0.856426:0.867095:0.840037:0.540837:0.840037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en 5 min?:@0.540837:0.876590:0.612557:0.876590:0.612557:0.860201:0.540837:0.860201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎛:@0.554567:0.896980:0.561488:0.896980:0.561488:0.881749:0.554567:0.881749:0.000000
⎝:@0.554567:0.916687:0.561488:0.916687:0.561488:0.901457:0.554567:0.901457:0.000000
⎜:@0.554567:0.907625:0.561488:0.907625:0.561488:0.892394:0.554567:0.892394:0.000000
⎞:@0.583493:0.896980:0.590414:0.896980:0.590414:0.881749:0.583493:0.881749:0.000000
⎠:@0.583493:0.916687:0.590414:0.916687:0.590414:0.901457:0.583493:0.901457:0.000000
⎟=:@0.583493:0.907625:0.602401:0.906394:0.602401:0.891164:0.583493:0.892394:0.000000:0.000000
5:@0.568289:0.897393:0.577084:0.897393:0.577084:0.882068:0.568289:0.882068:0.000000
60:@0.563783:0.916411:0.581175:0.916411:0.581175:0.901086:0.563783:0.901086:0.000000:0.000000
2, 5:@0.604896:0.905731:0.629677:0.905731:0.629677:0.890406:0.604896:0.890406:0.000000:0.000000:0.000000:0.000000
.:@0.617909:0.905731:0.621045:0.905731:0.621045:0.890406:0.617909:0.890406:0.000000
d:@0.543782:0.905731:0.552847:0.905731:0.552847:0.890677:0.543782:0.890677:0.000000
km:@0.629083:0.905731:0.650511:0.905731:0.650511:0.890677:0.629083:0.890677:0.000000:0.000000
 = 2,5 km:@0.592600:0.907579:0.660172:0.907579:0.660172:0.891190:0.592600:0.891190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.184929:0.840176:0.196465:0.840176:0.196465:0.823815:0.184929:0.823815:0.000000
c:@0.266232:0.840176:0.273898:0.840176:0.273898:0.823815:0.266232:0.823815:0.000000
f:@0.196183:0.842180:0.198906:0.842180:0.198906:0.832698:0.196183:0.832698:0.000000
f:@0.273974:0.842180:0.276697:0.842180:0.276697:0.832698:0.273974:0.832698:0.000000
:@0.218224:0.841048:0.153728:0.841048:0.153728:0.824299:0.218224:0.824299:0.000000
:@0.296026:0.841048:0.231529:0.841048:0.231529:0.824299:0.296026:0.824299:0.000000
; Re:@0.232358:0.840176:0.264478:0.840176:0.264478:0.823787:0.232358:0.823787:0.000000:0.000000:0.000000:0.000000
...:@0.236486:0.840176:0.245774:0.840176:0.245774:0.823787:0.236486:0.823787:0.000000:0.000000:0.000000
=:@0.205188:0.840854:0.215304:0.840854:0.215304:0.825281:0.205188:0.825281:0.000000
=:@0.282989:0.840854:0.293106:0.840854:0.293106:0.825281:0.282989:0.825281:0.000000
+:@0.309890:0.832908:0.315753:0.832908:0.315753:0.823883:0.309890:0.823883:0.000000
Simetría (respecto al eje “ ”).:@0.182310:0.870188:0.386043:0.870188:0.386043:0.853799:0.182310:0.853799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.365072:0.870188:0.372554:0.870188:0.372554:0.853827:0.365072:0.853827:0.000000
La función es decreciente en  –,0  :@0.182310:0.895166:0.456050:0.895169:0.456050:0.878780:0.182310:0.878777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.399350:0.898301:0.405486:0.898301:0.405486:0.878368:0.399350:0.878368:0.000000
):@0.442691:0.898301:0.448828:0.898301:0.448828:0.878368:0.442691:0.878368:0.000000
∞:@0.415264:0.895847:0.428403:0.895847:0.428403:0.880274:0.415264:0.880274:0.000000
y creciente en  0,:@0.182307:0.914283:0.310924:0.913023:0.310924:0.896634:0.182307:0.897894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.341956:0.913023:0.345162:0.913023:0.345162:0.896634:0.341956:0.896634:0.000000
(:@0.291752:0.916155:0.297889:0.916155:0.297889:0.896222:0.291752:0.896222:0.000000
):@0.335149:0.916155:0.341286:0.916155:0.341286:0.896222:0.335149:0.896222:0.000000
+∞:@0.311855:0.913701:0.334945:0.913701:0.334945:0.898128:0.311855:0.898128:0.000000:0.000000
Cuando   < 0 los valores de   cambian del semiplano superior al inferior y viceversa.:@0.115209:0.537710:0.728494:0.537710:0.728494:0.521321:0.115209:0.521321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.177476:0.537710:0.186745:0.537710:0.186745:0.521349:0.177476:0.521349:0.000000
y:@0.321928:0.537710:0.329410:0.537710:0.329410:0.521349:0.321928:0.521349:0.000000
En la segunda ilustración se observa que cuando   se acerca a 0, la curva se acerca mucho al eje “ ” sin :@0.115209:0.561429:0.883866:0.561429:0.883866:0.545040:0.115209:0.545040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.484812:0.561429:0.492275:0.561429:0.492275:0.545068:0.484812:0.545068:0.000000
y:@0.843123:0.561429:0.850604:0.561429:0.850604:0.545068:0.843123:0.545068:0.000000
llegar a tocarlo; cuando   es grande o muy pequeño, la curva también se acerca al eje “ ”. En este ejemplo, :@0.115209:0.578025:0.883955:0.578025:0.883955:0.561636:0.115209:0.561636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.289516:0.578025:0.296979:0.578025:0.296979:0.561664:0.289516:0.561664:0.000000
x:@0.742596:0.578025:0.750059:0.578025:0.750059:0.561664:0.742596:0.561664:0.000000
los ejes “ ” y “ ” son asíntotas de la función.:@0.115209:0.594622:0.421124:0.594622:0.421124:0.578233:0.115209:0.578233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.176333:0.594622:0.183797:0.594622:0.183797:0.578260:0.176333:0.578260:0.000000
y:@0.207347:0.594622:0.214829:0.594622:0.214829:0.578260:0.207347:0.578260:0.000000
Las funciones potencia son aquellas que tienen la forma :@0.115209:0.169948:0.530100:0.169948:0.530100:0.153559:0.115209:0.153559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.664014:0.169571:0.677319:0.169571:0.677319:0.152822:0.664014:0.152822:0.000000
():@0.541512:0.171831:0.564712:0.171831:0.564712:0.151898:0.541512:0.151898:0.000000:0.000000
{}:@0.691289:0.171144:0.717622:0.171144:0.717622:0.152768:0.691289:0.152768:0.000000:0.000000
=:@0.567373:0.169377:0.577489:0.169377:0.577489:0.153804:0.567373:0.153804:0.000000
∈:@0.647514:0.169377:0.660653:0.169377:0.660653:0.153804:0.647514:0.153804:0.000000
≠:@0.744536:0.169377:0.754653:0.169377:0.754653:0.153804:0.744536:0.153804:0.000000
;:@0.606495:0.168700:0.609701:0.168700:0.609701:0.152311:0.606495:0.152311:0.000000
...:@0.610622:0.168700:0.619910:0.168700:0.619910:0.152311:0.610622:0.152311:0.000000:0.000000:0.000000
,:@0.630358:0.168700:0.633565:0.168700:0.633565:0.152311:0.630358:0.152311:0.000000
– 0;:@0.680353:0.168700:0.721870:0.168700:0.721870:0.152311:0.680353:0.152311:0.000000:0.000000:0.000000:0.000000
...:@0.722810:0.168700:0.732097:0.168700:0.732097:0.152311:0.722810:0.152311:0.000000:0.000000:0.000000
1:@0.756048:0.168700:0.765041:0.168700:0.765041:0.152311:0.756048:0.152311:0.000000
fx:@0.532717:0.168700:0.556876:0.168700:0.556876:0.152338:0.532717:0.152338:0.000000:0.000000
ax:@0.580408:0.168700:0.597085:0.168700:0.597085:0.152338:0.580408:0.152338:0.000000:0.000000
an:@0.620451:0.168700:0.644775:0.168700:0.644775:0.152338:0.620451:0.152338:0.000000:0.000000
n:@0.732638:0.168700:0.742147:0.168700:0.742147:0.152338:0.732638:0.152338:0.000000
n:@0.598941:0.161039:0.604452:0.161039:0.604452:0.151556:0.598941:0.151556:0.000000
* Cuando   es un número entero: si   es un número :@0.115209:0.193681:0.498795:0.193681:0.498795:0.177292:0.115209:0.177292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.188717:0.193681:0.198225:0.193681:0.198225:0.177320:0.188717:0.177320:0.000000
n:@0.378943:0.193681:0.388452:0.193681:0.388452:0.177320:0.378943:0.177320:0.000000
par:@0.498795:0.193681:0.522622:0.193681:0.522622:0.177320:0.498795:0.177320:0.000000:0.000000:0.000000
 ::@0.522622:0.193681:0.529864:0.193681:0.529864:0.177292:0.522622:0.177292:0.000000:0.000000
La gráfica de la función es una curva simétrica respecto al eje de las “y” y tiene simetría axial.:@0.115209:0.217400:0.783589:0.217400:0.783589:0.201011:0.115209:0.201011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   es un número:@0.115209:0.241119:0.251592:0.241119:0.251592:0.224730:0.115209:0.224730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.132678:0.241119:0.142187:0.241119:0.142187:0.224758:0.132678:0.224758:0.000000
 impar:@0.251592:0.241119:0.298011:0.241119:0.298011:0.224758:0.251592:0.224758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 : la gráfica de la función es una curva simétrica respecto al origen del sistema  :@0.298011:0.241119:0.883936:0.241119:0.883936:0.224730:0.298011:0.224730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de coordenadas y tiene simetría central.:@0.115209:0.257715:0.406950:0.257715:0.406950:0.241326:0.115209:0.241326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La forma y posición de las curvas para los diferentes casos son::@0.115209:0.281434:0.571453:0.281434:0.571453:0.265045:0.115209:0.265045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función potencia:@0.115891:0.141978:0.361196:0.141978:0.361196:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.51. Definir y reconocer funciones potencia con n = 1, 2, 3, representarlas de manera gráfica e identificar su monotonía.  :@0.125388:0.069719:0.706367:0.069719:0.706367:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.52. Representar e interpretar modelos matemáticos con funciones lineales, y resolver problemas.:@0.125388:0.080280:0.600686:0.080280:0.600686:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13:@0.048440:0.122645:0.082072:0.122645:0.082072:0.065614:0.048440:0.065614:0.000000:0.000000
0:@0.217728:0.412583:0.224269:0.412583:0.224269:0.400664:0.217728:0.400664:0.000000
2:@0.277742:0.412935:0.284282:0.412935:0.284282:0.401016:0.277742:0.401016:0.000000
2:@0.217005:0.364645:0.223545:0.364645:0.223545:0.352726:0.217005:0.352726:0.000000
4:@0.217005:0.321696:0.223545:0.321696:0.223545:0.309776:0.217005:0.309776:0.000000
–2:@0.163692:0.412573:0.176933:0.412573:0.176933:0.400654:0.163692:0.400654:0.000000:0.000000
–2:@0.211309:0.450172:0.224550:0.450172:0.224550:0.438252:0.211309:0.438252:0.000000:0.000000
–4:@0.211309:0.492588:0.224550:0.492588:0.224550:0.480669:0.211309:0.480669:0.000000:0.000000
n:@0.145192:0.329086:0.151243:0.329086:0.151243:0.318674:0.145192:0.318674:0.000000
 par positivo,  :@0.151243:0.329086:0.215036:0.329086:0.215036:0.318657:0.151243:0.318657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.145192:0.339647:0.151091:0.339647:0.151091:0.329236:0.145192:0.329236:0.000000
 > 0:@0.151091:0.339647:0.168939:0.339647:0.168939:0.329218:0.151091:0.329218:0.000000:0.000000:0.000000:0.000000
n impar positivo, :@0.118209:0.467255:0.201058:0.467255:0.201058:0.456825:0.118209:0.456825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.118209:0.477816:0.124108:0.477816:0.124108:0.467404:0.118209:0.467404:0.000000
 > 0:@0.124108:0.477816:0.141956:0.477816:0.141956:0.467387:0.124108:0.467387:0.000000:0.000000:0.000000:0.000000
0:@0.479213:0.501067:0.485753:0.501067:0.485753:0.489148:0.479213:0.489148:0.000000
2:@0.544159:0.500705:0.550699:0.500705:0.550699:0.488786:0.544159:0.488786:0.000000
2:@0.482523:0.450634:0.489064:0.450634:0.489064:0.438715:0.482523:0.438715:0.000000
6:@0.482523:0.363941:0.489064:0.363941:0.489064:0.352022:0.482523:0.352022:0.000000
4:@0.599241:0.500705:0.605781:0.500705:0.605781:0.488786:0.599241:0.488786:0.000000
4:@0.482523:0.407775:0.489064:0.407775:0.489064:0.395856:0.482523:0.395856:0.000000
8:@0.482523:0.323486:0.489064:0.323486:0.489064:0.311567:0.482523:0.311567:0.000000
–2:@0.430189:0.501067:0.443430:0.501067:0.443430:0.489148:0.430189:0.489148:0.000000:0.000000
–4:@0.375107:0.501067:0.388348:0.501067:0.388348:0.489148:0.375107:0.489148:0.000000:0.000000
n:@0.505898:0.401035:0.511949:0.401035:0.511949:0.390623:0.505898:0.390623:0.000000
 par positivo,   > 0:@0.511949:0.401035:0.597553:0.401035:0.597553:0.390606:0.511949:0.390606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.573806:0.401035:0.579705:0.401035:0.579705:0.390623:0.573806:0.390623:0.000000
0:@0.776098:0.414289:0.782638:0.414289:0.782638:0.402370:0.776098:0.402370:0.000000
2:@0.835656:0.413927:0.842196:0.413927:0.842196:0.402008:0.835656:0.402008:0.000000
2:@0.774020:0.364299:0.780560:0.364299:0.780560:0.352380:0.774020:0.352380:0.000000
4:@0.892413:0.413927:0.898953:0.413927:0.898953:0.402008:0.892413:0.402008:0.000000
4:@0.774020:0.322054:0.780560:0.322054:0.780560:0.310135:0.774020:0.310135:0.000000
–2:@0.723120:0.414300:0.736361:0.414300:0.736361:0.402380:0.723120:0.402380:0.000000:0.000000
–2:@0.769464:0.462691:0.782705:0.462691:0.782705:0.450771:0.769464:0.450771:0.000000:0.000000
–4:@0.769464:0.507058:0.782705:0.507058:0.782705:0.495139:0.769464:0.495139:0.000000:0.000000
–4:@0.667086:0.414300:0.680327:0.414300:0.680327:0.402380:0.667086:0.402380:0.000000:0.000000
n:@0.663394:0.494546:0.669445:0.494546:0.669445:0.484134:0.663394:0.484134:0.000000
 impar positivo,   > 0:@0.669445:0.494546:0.766693:0.494546:0.766693:0.484116:0.669445:0.484116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.743111:0.494546:0.749009:0.494546:0.749009:0.484134:0.743111:0.484134:0.000000
5:@0.317531:0.792268:0.324071:0.792268:0.324071:0.780349:0.317531:0.780349:0.000000
y:@0.299366:0.701931:0.304127:0.701931:0.304127:0.691519:0.299366:0.691519:0.000000
x:@0.347680:0.776925:0.352429:0.776925:0.352429:0.766514:0.347680:0.766514:0.000000
5:@0.281545:0.763212:0.288085:0.763212:0.288085:0.751293:0.281545:0.751293:0.000000
f y:@0.316698:0.731367:0.333759:0.731367:0.333759:0.719468:0.316698:0.719468:0.000000:0.000000:0.000000
 :   = :@0.320116:0.731367:0.347616:0.731367:0.347616:0.719448:0.320116:0.719448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.347616:0.731367:0.353044:0.731367:0.353044:0.719468:0.347616:0.719468:0.000000
2:@0.353044:0.726965:0.356857:0.726965:0.356857:0.720016:0.353044:0.720016:0.000000
–5 0:@0.257341:0.792268:0.287603:0.792268:0.287603:0.780349:0.257341:0.780349:0.000000:0.000000:0.000000:0.000000
10:@0.275367:0.742187:0.288447:0.742187:0.288447:0.730268:0.275367:0.730268:0.000000:0.000000
15:@0.275367:0.721145:0.288447:0.721145:0.288447:0.709226:0.275367:0.709226:0.000000:0.000000
0:@0.708813:0.829185:0.715353:0.829185:0.715353:0.817266:0.708813:0.817266:0.000000
2:@0.754299:0.829185:0.760839:0.829185:0.760839:0.817266:0.754299:0.817266:0.000000
4:@0.791918:0.829185:0.798459:0.829185:0.798459:0.817266:0.791918:0.817266:0.000000
6:@0.830248:0.829185:0.836788:0.829185:0.836788:0.817266:0.830248:0.817266:0.000000
d:@0.727144:0.715920:0.733042:0.715920:0.733042:0.705508:0.727144:0.705508:0.000000
t:@0.842276:0.813216:0.845700:0.813216:0.845700:0.802804:0.842276:0.802804:0.000000
d t:@0.727154:0.755420:0.741360:0.755420:0.741360:0.743521:0.727154:0.743521:0.000000:0.000000:0.000000
( ) = 30 :@0.733895:0.755420:0.774784:0.755420:0.774784:0.743501:0.733895:0.743501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.774784:0.755420:0.778697:0.755420:0.778697:0.743521:0.774784:0.743521:0.000000
20:@0.700605:0.810198:0.713685:0.810198:0.713685:0.798279:0.700605:0.798279:0.000000:0.000000
100:@0.694064:0.755571:0.713685:0.755571:0.713685:0.743652:0.694064:0.743652:0.000000:0.000000:0.000000
60:@0.700605:0.783212:0.713685:0.783212:0.713685:0.771293:0.700605:0.771293:0.000000:0.000000
140:@0.694064:0.728585:0.713685:0.728585:0.713685:0.716665:0.694064:0.716665:0.000000:0.000000:0.000000
40:@0.700605:0.796388:0.713685:0.796388:0.713685:0.784469:0.700605:0.784469:0.000000:0.000000
120:@0.694064:0.741761:0.713685:0.741761:0.713685:0.729842:0.694064:0.729842:0.000000:0.000000:0.000000
80:@0.700605:0.769402:0.713685:0.769402:0.713685:0.757482:0.700605:0.757482:0.000000:0.000000
160:@0.694064:0.714774:0.713685:0.714774:0.713685:0.702855:0.694064:0.702855:0.000000:0.000000:0.000000
b) :@0.520742:0.642617:0.540773:0.642617:0.540773:0.625716:0.520742:0.625716:0.000000:0.000000:0.000000
Un auto viaja a una velocidad constante de  :@0.543519:0.642617:0.883933:0.642617:0.883933:0.626228:0.543519:0.626228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30 km/h durante 5 horas. :@0.553986:0.659213:0.744408:0.659213:0.744408:0.642824:0.553986:0.642824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Construyamos:@0.744970:0.659213:0.855646:0.659213:0.855646:0.642589:0.744970:0.642589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un :@0.855646:0.659213:0.883942:0.659213:0.883942:0.642824:0.855646:0.642824:0.000000:0.000000:0.000000:0.000000
gráfico para mostrar la relación entre el tiem-:@0.553986:0.675809:0.879860:0.675809:0.879860:0.659420:0.553986:0.659420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
po y la distancia recorrida y la función que :@0.553986:0.692406:0.883931:0.692406:0.883931:0.676017:0.553986:0.676017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modela.:@0.553986:0.709002:0.613323:0.709002:0.613323:0.692613:0.553986:0.692613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.550428:0.730223:0.555127:0.730223:0.555127:0.713862:0.550428:0.713862:0.000000
dt:@0.550796:0.753250:0.573665:0.753250:0.573665:0.736889:0.550796:0.736889:0.000000:0.000000
t:@0.614150:0.753250:0.619531:0.753250:0.619531:0.736889:0.614150:0.736889:0.000000
:0,5:@0.560379:0.730223:0.596018:0.730223:0.596018:0.713834:0.560379:0.713834:0.000000:0.000000:0.000000:0.000000
0,150:@0.631325:0.730223:0.670834:0.730223:0.670834:0.713834:0.631325:0.713834:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.596626:0.753250:0.614408:0.753250:0.614408:0.736861:0.596626:0.736861:0.000000:0.000000
():@0.562258:0.756380:0.581276:0.756380:0.581276:0.736446:0.562258:0.736446:0.000000:0.000000
[ ] [:@0.566500:0.733272:0.631007:0.733272:0.631007:0.713650:0.566500:0.713650:0.000000:0.000000:0.000000:0.000000:0.000000
]:@0.671363:0.733272:0.677500:0.733272:0.677500:0.713650:0.671363:0.713650:0.000000
→:@0.604139:0.730900:0.622327:0.730900:0.622327:0.715328:0.604139:0.715328:0.000000
=:@0.583924:0.753928:0.594041:0.753928:0.594041:0.738355:0.583924:0.738355:0.000000
x:@0.324706:0.394575:0.329455:0.394575:0.329455:0.384163:0.324706:0.384163:0.000000
x:@0.909339:0.398923:0.914089:0.398923:0.914089:0.388511:0.909339:0.388511:0.000000
x:@0.615985:0.480650:0.620734:0.480650:0.620734:0.470238:0.615985:0.470238:0.000000
y:@0.235489:0.306458:0.240250:0.306458:0.240250:0.296047:0.235489:0.296047:0.000000
y:@0.775421:0.306458:0.780182:0.306458:0.780182:0.296047:0.775421:0.296047:0.000000
y:@0.500688:0.306458:0.505449:0.306458:0.505449:0.296047:0.500688:0.296047:0.000000