﻿81:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
c) :@0.545521:0.172018:0.563156:0.172018:0.563156:0.155117:0.545521:0.155117:0.000000:0.000000:0.000000
Anota:@0.578764:0.172018:0.625313:0.172018:0.625313:0.155394:0.578764:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000
 la frecuencia.:@0.625313:0.172018:0.725117:0.172018:0.725117:0.155629:0.625313:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578764:0.218377:0.884331:0.218377:0.884331:0.201476:0.578764:0.201476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545521:0.236711:0.548989:0.236711:0.548989:0.221347:0.545521:0.221347:0.000000
d) :@0.545521:0.257186:0.565589:0.257186:0.565589:0.240285:0.545521:0.240285:0.000000:0.000000:0.000000
Halla:@0.578764:0.257186:0.617241:0.257186:0.617241:0.240562:0.578764:0.240562:0.000000:0.000000:0.000000:0.000000:0.000000
 el recorrido.:@0.617241:0.257186:0.708032:0.257186:0.708032:0.240797:0.617241:0.240797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578764:0.283381:0.884331:0.283381:0.884331:0.266480:0.578764:0.266480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512281:0.301718:0.515950:0.301718:0.515950:0.286819:0.512281:0.286819:0.000000
e) :@0.545521:0.322193:0.564391:0.322193:0.564391:0.305293:0.545521:0.305293:0.000000:0.000000:0.000000
Indica:@0.578764:0.322193:0.625423:0.322193:0.625423:0.305569:0.578764:0.305569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si es una función par o impar.:@0.625423:0.322193:0.843551:0.322193:0.843551:0.305805:0.625423:0.305805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578764:0.348388:0.884331:0.348388:0.884331:0.331487:0.578764:0.331487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512281:0.366726:0.515950:0.366726:0.515950:0.351827:0.512281:0.351827:0.000000
f) :@0.545521:0.387201:0.562345:0.387201:0.562345:0.370300:0.545521:0.370300:0.000000:0.000000:0.000000
Grafica:@0.578764:0.387201:0.632260:0.387201:0.632260:0.370577:0.578764:0.370577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función.:@0.632260:0.387201:0.712051:0.387201:0.712051:0.370812:0.632260:0.370812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545521:0.569388:0.549335:0.569388:0.549335:0.552487:0.545521:0.552487:0.000000
5:@0.760744:0.502870:0.766467:0.502870:0.766467:0.492441:0.760744:0.492441:0.000000
5:@0.724251:0.476933:0.729973:0.476933:0.729973:0.466504:0.724251:0.466504:0.000000
10:@0.781324:0.502870:0.792769:0.502870:0.792769:0.492441:0.781324:0.492441:0.000000:0.000000
10:@0.721389:0.458909:0.732834:0.458909:0.732834:0.448479:0.721389:0.448479:0.000000:0.000000
–5:@0.707153:0.502870:0.718739:0.502870:0.718739:0.492441:0.707153:0.492441:0.000000:0.000000
–5:@0.720826:0.514866:0.732412:0.514866:0.732412:0.504437:0.720826:0.504437:0.000000:0.000000
–10:@0.678833:0.502870:0.696142:0.502870:0.696142:0.492441:0.678833:0.492441:0.000000:0.000000:0.000000
–10:@0.714248:0.531975:0.731556:0.531975:0.731556:0.521546:0.714248:0.521546:0.000000:0.000000:0.000000
–15:@0.654641:0.502870:0.671950:0.502870:0.671950:0.492441:0.654641:0.492441:0.000000:0.000000:0.000000
–15:@0.714201:0.550334:0.731509:0.550334:0.731509:0.539905:0.714201:0.539905:0.000000:0.000000:0.000000
–20:@0.630449:0.502870:0.647757:0.502870:0.647757:0.492441:0.630449:0.492441:0.000000:0.000000:0.000000
–25:@0.604978:0.502976:0.622287:0.502976:0.622287:0.492546:0.604978:0.492546:0.000000:0.000000:0.000000
15:@0.805880:0.502870:0.817325:0.502870:0.817325:0.492441:0.805880:0.492441:0.000000:0.000000
15:@0.721389:0.441086:0.732834:0.441086:0.732834:0.430657:0.721389:0.430657:0.000000:0.000000
20:@0.830424:0.502870:0.841869:0.502870:0.841869:0.492441:0.830424:0.492441:0.000000:0.000000
20:@0.721389:0.422331:0.732834:0.422331:0.732834:0.411902:0.721389:0.411902:0.000000:0.000000
25:@0.854980:0.502870:0.866425:0.502870:0.866425:0.492441:0.854980:0.492441:0.000000:0.000000
25:@0.721389:0.404210:0.732834:0.404210:0.732834:0.393780:0.721389:0.393780:0.000000:0.000000
y:@0.746203:0.400293:0.751363:0.400293:0.751363:0.389864:0.746203:0.389864:0.000000
x:@0.872112:0.487257:0.877143:0.487257:0.877143:0.476828:0.872112:0.476828:0.000000
2. :@0.120102:0.787241:0.138843:0.787241:0.138843:0.770106:0.120102:0.770106:0.000000:0.000000:0.000000
Se tiene la función :@0.153346:0.787241:0.292880:0.787241:0.292880:0.770852:0.153346:0.770852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.308476:0.787781:0.318593:0.787781:0.318593:0.772208:0.308476:0.772208:0.000000
⎛:@0.345221:0.778155:0.352297:0.778155:0.352297:0.762582:0.345221:0.762582:0.000000
⎝:@0.345226:0.798311:0.352302:0.798311:0.352302:0.782738:0.345226:0.782738:0.000000
⎜:@0.345226:0.789037:0.352302:0.789037:0.352302:0.773464:0.345226:0.773464:0.000000
⎞:@0.378156:0.778152:0.385232:0.778152:0.385232:0.762579:0.378156:0.762579:0.000000
⎠:@0.378154:0.798311:0.385231:0.798311:0.385231:0.782738:0.378154:0.782738:0.000000
⎟:@0.378154:0.789037:0.385231:0.789037:0.385231:0.773464:0.378154:0.773464:0.000000
y:@0.296959:0.787103:0.304440:0.787103:0.304440:0.771710:0.296959:0.771710:0.000000
x:@0.368624:0.787103:0.376087:0.787103:0.376087:0.771710:0.368624:0.771710:0.000000
csc:@0.321144:0.787103:0.343912:0.787103:0.343912:0.771433:0.321144:0.771433:0.000000:0.000000:0.000000
1:@0.355807:0.778584:0.364799:0.778584:0.364799:0.762914:0.355807:0.762914:0.000000
4:@0.355016:0.798025:0.364009:0.798025:0.364009:0.782356:0.355016:0.782356:0.000000
.:@0.385380:0.787103:0.388586:0.787103:0.388586:0.771433:0.385380:0.771433:0.000000
a) :@0.153344:0.822074:0.172066:0.822074:0.172066:0.805173:0.153344:0.805173:0.000000:0.000000:0.000000
Enuncia:@0.186587:0.822074:0.247712:0.822074:0.247712:0.805450:0.186587:0.805450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio.:@0.247712:0.822074:0.333806:0.822074:0.333806:0.805685:0.247712:0.805685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186587:0.848268:0.492154:0.848268:0.492154:0.831368:0.186587:0.831368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120102:0.866606:0.123771:0.866606:0.123771:0.851707:0.120102:0.851707:0.000000
b) :@0.153344:0.887081:0.173375:0.887081:0.173375:0.870181:0.153344:0.870181:0.000000:0.000000:0.000000
Halla:@0.186587:0.887081:0.225064:0.887081:0.225064:0.870457:0.186587:0.870457:0.000000:0.000000:0.000000:0.000000:0.000000
 el periodo. :@0.225064:0.887081:0.311048:0.887081:0.311048:0.870692:0.225064:0.870692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186587:0.913276:0.492154:0.913276:0.492154:0.896375:0.186587:0.896375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.512277:0.613960:0.531018:0.613960:0.531018:0.596824:0.512277:0.596824:0.000000:0.000000:0.000000
Se tiene la función :@0.545521:0.613960:0.685055:0.613960:0.685055:0.597571:0.545521:0.597571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.700653:0.612655:0.710770:0.612655:0.710770:0.597082:0.700653:0.597082:0.000000
⎛:@0.738503:0.603029:0.745580:0.603029:0.745580:0.587456:0.738503:0.587456:0.000000
⎝:@0.738503:0.623180:0.745580:0.623180:0.745580:0.607607:0.738503:0.607607:0.000000
⎜:@0.738503:0.613914:0.745580:0.613914:0.745580:0.598341:0.738503:0.598341:0.000000
⎞:@0.771434:0.603029:0.778510:0.603029:0.778510:0.587456:0.771434:0.587456:0.000000
⎠:@0.771434:0.623180:0.778510:0.623180:0.778510:0.607607:0.771434:0.607607:0.000000
⎟:@0.771434:0.613914:0.778510:0.613914:0.778510:0.598341:0.771434:0.598341:0.000000
y:@0.689136:0.611977:0.696617:0.611977:0.696617:0.596584:0.689136:0.596584:0.000000
x:@0.761907:0.611977:0.769370:0.611977:0.769370:0.596584:0.761907:0.596584:0.000000
sec:@0.713688:0.611977:0.737189:0.611977:0.737189:0.596308:0.713688:0.596308:0.000000:0.000000:0.000000
1:@0.749088:0.603458:0.758080:0.603458:0.758080:0.587788:0.749088:0.587788:0.000000
4:@0.748295:0.622903:0.757288:0.622903:0.757288:0.607234:0.748295:0.607234:0.000000
.:@0.778664:0.611977:0.781870:0.611977:0.781870:0.596308:0.778664:0.596308:0.000000
a) :@0.545521:0.648795:0.564243:0.648795:0.564243:0.631894:0.545521:0.631894:0.000000:0.000000:0.000000
Halla:@0.578764:0.648795:0.617241:0.648795:0.617241:0.632171:0.578764:0.632171:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio.:@0.617241:0.648795:0.703335:0.648795:0.703335:0.632406:0.617241:0.632406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578764:0.695154:0.884331:0.695154:0.884331:0.678254:0.578764:0.678254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545521:0.713488:0.548989:0.713488:0.548989:0.698124:0.545521:0.698124:0.000000
b) :@0.545521:0.733962:0.565552:0.733962:0.565552:0.717061:0.545521:0.717061:0.000000:0.000000:0.000000
Escribe:@0.578764:0.733962:0.633513:0.733962:0.633513:0.717338:0.578764:0.717338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el periodo. :@0.633513:0.733962:0.719496:0.733962:0.719496:0.717573:0.633513:0.717573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578764:0.760157:0.884331:0.760157:0.884331:0.743256:0.578764:0.743256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512281:0.778496:0.515950:0.778496:0.515950:0.763597:0.512281:0.763597:0.000000
c) :@0.545521:0.798970:0.563156:0.798970:0.563156:0.782069:0.545521:0.782069:0.000000:0.000000:0.000000
Expresa:@0.578764:0.798970:0.638101:0.798970:0.638101:0.782345:0.578764:0.782345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la frecuencia.:@0.638101:0.798970:0.737905:0.798970:0.737905:0.782581:0.638101:0.782581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578764:0.845329:0.884331:0.845329:0.884331:0.828428:0.578764:0.828428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545521:0.863663:0.548989:0.863663:0.548989:0.848298:0.545521:0.848298:0.000000
d) :@0.545521:0.884138:0.565589:0.884138:0.565589:0.867237:0.545521:0.867237:0.000000:0.000000:0.000000
Anota :@0.578764:0.884138:0.629219:0.884138:0.629219:0.867514:0.578764:0.867514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el recorrido.:@0.629219:0.884138:0.715975:0.884138:0.715975:0.867749:0.629219:0.867749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578764:0.910332:0.884331:0.910332:0.884331:0.893432:0.578764:0.893432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.3.4. Halla gráfica y analíticamente el dominio, recorrido, monotonía, periodicidad, desplazamientos, máximos y mínimos de :@0.261615:0.108245:0.882515:0.108245:0.882515:0.097816:0.261615:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones trigonométricas para modelar movimientos circulares y comportamientos de fenómenos naturales, y discute su pertinencia; :@0.261615:0.118806:0.882411:0.118806:0.882411:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplea la tecnología para corroborar sus resultados. (J.3., I.2.):@0.261615:0.129367:0.544504:0.129367:0.544504:0.118938:0.261615:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.119958:0.177555:0.138699:0.177555:0.138699:0.160419:0.119958:0.160419:0.000000:0.000000:0.000000
Se tiene la función :@0.153202:0.177555:0.292736:0.177555:0.292736:0.161166:0.153202:0.161166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.346600:0.179864:0.380064:0.179864:0.380064:0.159931:0.346600:0.159931:0.000000:0.000000:0.000000
=:@0.308330:0.177410:0.318447:0.177410:0.318447:0.161837:0.308330:0.161837:0.000000
y:@0.296813:0.176733:0.304295:0.176733:0.304295:0.160371:0.296813:0.160371:0.000000
x:@0.364774:0.176733:0.372237:0.176733:0.372237:0.160371:0.364774:0.160371:0.000000
sec4 .:@0.321365:0.176733:0.383946:0.176733:0.383946:0.160344:0.321365:0.160344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153213:0.212387:0.171936:0.212387:0.171936:0.195486:0.153213:0.195486:0.000000:0.000000:0.000000
Encuentra:@0.186457:0.212387:0.264461:0.212387:0.264461:0.195763:0.186457:0.195763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio.:@0.264461:0.212387:0.350553:0.212387:0.350553:0.195998:0.264461:0.195998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186457:0.258746:0.492024:0.258746:0.492024:0.241846:0.186457:0.241846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153198:0.277080:0.156666:0.277080:0.156666:0.261716:0.153198:0.261716:0.000000
b) :@0.153198:0.297555:0.173229:0.297555:0.173229:0.280655:0.153198:0.280655:0.000000:0.000000:0.000000
Escribe:@0.186442:0.297555:0.241190:0.297555:0.241190:0.280931:0.186442:0.280931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el periodo.:@0.241190:0.297555:0.323138:0.297555:0.323138:0.281166:0.241190:0.281166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.341397:0.492009:0.341397:0.492009:0.324497:0.186442:0.324497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153198:0.359734:0.156666:0.359734:0.156666:0.344370:0.153198:0.344370:0.000000
c) :@0.153198:0.380208:0.170833:0.380208:0.170833:0.363307:0.153198:0.363307:0.000000:0.000000:0.000000
Calcula:@0.186442:0.380208:0.241872:0.380208:0.241872:0.363584:0.186442:0.363584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la frecuencia. :@0.241872:0.380208:0.345712:0.380208:0.345712:0.363819:0.241872:0.363819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.406402:0.492009:0.406402:0.492009:0.389502:0.186442:0.389502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153198:0.424741:0.156666:0.424741:0.156666:0.409377:0.153198:0.409377:0.000000
d) :@0.153198:0.445215:0.173266:0.445215:0.173266:0.428315:0.153198:0.428315:0.000000:0.000000:0.000000
Expresa:@0.186442:0.445215:0.245779:0.445215:0.245779:0.428591:0.186442:0.428591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el recorrido.:@0.245779:0.445215:0.336572:0.445215:0.336572:0.428826:0.245779:0.428826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.471410:0.492009:0.471410:0.492009:0.454509:0.186442:0.454509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.119958:0.489749:0.123626:0.489749:0.123626:0.474850:0.119958:0.474850:0.000000
e) :@0.153198:0.510223:0.172068:0.510223:0.172068:0.493322:0.153198:0.493322:0.000000:0.000000:0.000000
Indica:@0.186442:0.510223:0.233100:0.510223:0.233100:0.493599:0.186442:0.493599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si es una función par o impar.:@0.233100:0.510223:0.451228:0.510223:0.451228:0.493834:0.233100:0.493834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.536417:0.492009:0.536417:0.492009:0.519517:0.186442:0.519517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.119958:0.554756:0.123626:0.554756:0.123626:0.539857:0.119958:0.539857:0.000000
f) :@0.153198:0.575230:0.170023:0.575230:0.170023:0.558330:0.153198:0.558330:0.000000:0.000000:0.000000
Grafica:@0.186442:0.575230:0.239937:0.575230:0.239937:0.558606:0.186442:0.558606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función.:@0.239937:0.575230:0.319729:0.575230:0.319729:0.558841:0.239937:0.558841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.294407:0.674199:0.300130:0.674199:0.300130:0.663769:0.294407:0.663769:0.000000
–1:@0.265853:0.674199:0.277439:0.674199:0.277439:0.663769:0.265853:0.663769:0.000000:0.000000
–1:@0.287712:0.692505:0.299297:0.692505:0.299297:0.682076:0.287712:0.682076:0.000000:0.000000
1:@0.338910:0.674199:0.344633:0.674199:0.344633:0.663769:0.338910:0.663769:0.000000
1:@0.292625:0.640702:0.298348:0.640702:0.298348:0.630272:0.292625:0.630272:0.000000
3:@0.408438:0.674199:0.414160:0.674199:0.414160:0.663769:0.408438:0.663769:0.000000
y:@0.315891:0.590113:0.321050:0.590113:0.321050:0.579684:0.315891:0.579684:0.000000
x:@0.445600:0.659967:0.450630:0.659967:0.450630:0.649538:0.445600:0.649538:0.000000
2:@0.373680:0.674199:0.379402:0.674199:0.379402:0.663769:0.373680:0.663769:0.000000
2:@0.292637:0.613982:0.298359:0.613982:0.298359:0.603552:0.292637:0.603552:0.000000
4:@0.443219:0.674199:0.448942:0.674199:0.448942:0.663769:0.443219:0.663769:0.000000
–2:@0.229418:0.674199:0.241004:0.674199:0.241004:0.663769:0.229418:0.663769:0.000000:0.000000
–2:@0.287723:0.719120:0.299309:0.719120:0.299309:0.708690:0.287723:0.708690:0.000000:0.000000
–3:@0.194660:0.674199:0.206246:0.674199:0.206246:0.663769:0.194660:0.663769:0.000000:0.000000
–3:@0.287723:0.745840:0.299309:0.745840:0.299309:0.735410:0.287723:0.735410:0.000000:0.000000
–4:@0.159891:0.674199:0.171477:0.674199:0.171477:0.663769:0.159891:0.663769:0.000000:0.000000
 :@0.458936:0.749444:0.462751:0.749444:0.462751:0.732544:0.458936:0.732544:0.000000
π:@0.279517:0.241434:0.249830:0.241434:0.254395:0.225862:0.284082:0.225862:0.000000
π:@0.319308:0.241434:0.289621:0.241434:0.294186:0.225862:0.323873:0.225862:0.000000
=:@0.228639:0.249960:0.170795:0.249960:0.170795:0.234387:0.228639:0.234387:0.000000
+:@0.296600:0.249960:0.238756:0.249960:0.238756:0.234387:0.296600:0.234387:0.000000
∈ ⎬:@0.352547:0.249960:0.390766:0.250237:0.390766:0.234664:0.352547:0.234387:0.000000:0.000000:0.000000
⎧:@0.269733:0.240334:0.278836:0.240334:0.278836:0.224761:0.269733:0.224761:0.000000
⎨:@0.269733:0.250237:0.278836:0.250237:0.278836:0.234664:0.269733:0.234664:0.000000
⎩:@0.269733:0.260485:0.278836:0.260485:0.278836:0.244912:0.269733:0.244912:0.000000
⎫:@0.381662:0.240334:0.390766:0.240334:0.390766:0.224761:0.381662:0.224761:0.000000
⎭:@0.381662:0.260485:0.390766:0.260485:0.390766:0.244912:0.381662:0.244912:0.000000
Dom:@0.190623:0.249283:0.225986:0.249283:0.225986:0.233889:0.190623:0.233889:0.000000:0.000000:0.000000
k:@0.308728:0.249283:0.316301:0.249283:0.316301:0.233889:0.308728:0.233889:0.000000
k:@0.340663:0.249283:0.348236:0.249283:0.348236:0.233889:0.340663:0.233889:0.000000
:@0.241674:0.250154:0.127607:0.250154:0.127607:0.233405:0.241674:0.233405:0.000000
:@0.369046:0.250154:0.254979:0.250154:0.254979:0.233405:0.369046:0.233405:0.000000
–:@0.258010:0.249283:0.267223:0.249283:0.267223:0.233613:0.258010:0.233613:0.000000
8:@0.282297:0.260208:0.291290:0.260208:0.291290:0.244539:0.282297:0.244539:0.000000
4:@0.322248:0.260208:0.331241:0.260208:0.331241:0.244539:0.322248:0.244539:0.000000
,:@0.336124:0.249283:0.339331:0.249283:0.339331:0.233613:0.336124:0.233613:0.000000
=:@0.594758:0.205987:0.604875:0.205987:0.604875:0.190414:0.594758:0.190414:0.000000
B:@0.582503:0.205310:0.591349:0.205310:0.591349:0.188948:0.582503:0.188948:0.000000
1:@0.610403:0.196790:0.619396:0.196790:0.619396:0.180401:0.610403:0.180401:0.000000
4:@0.609626:0.216232:0.618618:0.216232:0.618618:0.199843:0.609626:0.199843:0.000000
T:@0.190214:0.328812:0.198341:0.328812:0.198341:0.312451:0.190214:0.312451:0.000000
2:@0.219844:0.339734:0.228837:0.339734:0.228837:0.323345:0.219844:0.323345:0.000000
π:@0.216905:0.320964:0.227022:0.320964:0.231586:0.305391:0.221470:0.305391:0.000000
=:@0.203614:0.329490:0.213731:0.329490:0.213731:0.313917:0.203614:0.313917:0.000000
]:@0.232042:0.475481:0.238178:0.475481:0.238178:0.455859:0.232042:0.455859:0.000000
] [ [:@0.281888:0.475481:0.340311:0.475481:0.340311:0.455859:0.281888:0.455859:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.219373:0.473109:0.229490:0.473109:0.229490:0.457536:0.219373:0.457536:0.000000
∞:@0.247955:0.473109:0.261094:0.473109:0.261094:0.457536:0.247955:0.457536:0.000000
∞:@0.320836:0.473109:0.333975:0.473109:0.333975:0.457536:0.320836:0.457536:0.000000
:@0.290523:0.473302:0.302685:0.473302:0.302685:0.456554:0.290523:0.456554:0.000000
Rec:@0.189852:0.472431:0.216075:0.472431:0.216075:0.456042:0.189852:0.456042:0.000000:0.000000:0.000000
– ,–1:@0.238851:0.472431:0.284433:0.472431:0.284433:0.456042:0.238851:0.456042:0.000000:0.000000:0.000000:0.000000:0.000000
1,:@0.310250:0.472431:0.319900:0.472431:0.319900:0.456042:0.310250:0.456042:0.000000:0.000000
]:@0.623917:0.286736:0.630053:0.286736:0.630053:0.267115:0.623917:0.267115:0.000000
] [ [:@0.673764:0.286736:0.732188:0.286736:0.732188:0.267115:0.673764:0.267115:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.611249:0.284365:0.621366:0.284365:0.621366:0.268792:0.611249:0.268792:0.000000
∞:@0.639830:0.284365:0.652969:0.284365:0.652969:0.268792:0.639830:0.268792:0.000000
∞:@0.712711:0.284365:0.725850:0.284365:0.725850:0.268792:0.712711:0.268792:0.000000
:@0.682398:0.284559:0.694560:0.284559:0.694560:0.267810:0.682398:0.267810:0.000000
Rec:@0.581728:0.283687:0.607950:0.283687:0.607950:0.267298:0.581728:0.267298:0.000000:0.000000:0.000000
– ,–1:@0.630727:0.283687:0.676309:0.283687:0.676309:0.267298:0.630727:0.267298:0.000000:0.000000:0.000000:0.000000:0.000000
1,:@0.702126:0.283687:0.711775:0.283687:0.711775:0.267298:0.702126:0.267298:0.000000:0.000000
π:@0.288992:0.849720:0.299109:0.849720:0.303674:0.834148:0.293557:0.834148:0.000000
{:@0.263925:0.852698:0.272770:0.852698:0.272770:0.831830:0.263925:0.831830:0.000000
}:@0.347052:0.852698:0.355897:0.852698:0.355897:0.831830:0.347052:0.831830:0.000000
=:@0.223614:0.849720:0.233730:0.849720:0.233730:0.834148:0.223614:0.834148:0.000000
∈:@0.318737:0.849720:0.331876:0.849720:0.331876:0.834148:0.318737:0.834148:0.000000
Dom:@0.185606:0.849043:0.220968:0.849043:0.220968:0.832682:0.185606:0.832682:0.000000:0.000000:0.000000
k k:@0.282922:0.849043:0.314433:0.849043:0.314433:0.832682:0.282922:0.832682:0.000000:0.000000:0.000000
:@0.236649:0.849914:0.249953:0.849914:0.249953:0.833166:0.236649:0.833166:0.000000
:@0.335218:0.849914:0.347509:0.849914:0.347509:0.833166:0.335218:0.833166:0.000000
–4:@0.252982:0.849043:0.282393:0.849043:0.282393:0.832654:0.252982:0.832654:0.000000:0.000000
T:@0.189377:0.913008:0.197503:0.913008:0.197503:0.896647:0.189377:0.896647:0.000000
8:@0.215452:0.913008:0.224444:0.913008:0.224444:0.896619:0.215452:0.896619:0.000000
π:@0.223762:0.913686:0.233878:0.913686:0.238443:0.898113:0.228326:0.898113:0.000000
=:@0.202779:0.913686:0.212895:0.913686:0.212895:0.898113:0.202779:0.898113:0.000000
=:@0.594758:0.835262:0.604875:0.835262:0.604875:0.819689:0.594758:0.819689:0.000000
B:@0.582503:0.834584:0.591349:0.834584:0.591349:0.818223:0.582503:0.818223:0.000000
1:@0.610403:0.826064:0.619396:0.826064:0.619396:0.809675:0.610403:0.809675:0.000000
4:@0.609626:0.845507:0.618618:0.845507:0.618618:0.829118:0.609626:0.829118:0.000000
π:@0.677517:0.695020:0.687634:0.695020:0.692199:0.679447:0.682082:0.679447:0.000000
π:@0.721596:0.695020:0.731713:0.695020:0.736278:0.679447:0.726161:0.679447:0.000000
{:@0.660826:0.696786:0.669671:0.696786:0.669671:0.678410:0.660826:0.678410:0.000000
}:@0.780550:0.696786:0.789396:0.696786:0.789396:0.678410:0.780550:0.678410:0.000000
=:@0.620515:0.695020:0.630631:0.695020:0.630631:0.679447:0.620515:0.679447:0.000000
+:@0.693120:0.695020:0.703236:0.695020:0.703236:0.679447:0.693120:0.679447:0.000000
∈:@0.752235:0.695020:0.765374:0.695020:0.765374:0.679447:0.752235:0.679447:0.000000
Dom:@0.582517:0.694342:0.617869:0.694342:0.617869:0.677981:0.582517:0.677981:0.000000:0.000000:0.000000
k k:@0.715536:0.694342:0.747920:0.694342:0.747920:0.677981:0.715536:0.677981:0.000000:0.000000:0.000000
:@0.633550:0.695213:0.646854:0.695213:0.646854:0.678465:0.633550:0.678465:0.000000
:@0.768716:0.695213:0.781008:0.695213:0.781008:0.678465:0.768716:0.678465:0.000000
–2:@0.649883:0.694342:0.678557:0.694342:0.678557:0.677953:0.649883:0.677953:0.000000:0.000000
4:@0.705995:0.694342:0.714988:0.694342:0.714988:0.677953:0.705995:0.677953:0.000000
,:@0.735793:0.694342:0.738999:0.694342:0.738999:0.677953:0.735793:0.677953:0.000000
T:@0.581250:0.760247:0.589377:0.760247:0.589377:0.743886:0.581250:0.743886:0.000000
8:@0.607325:0.760247:0.616318:0.760247:0.616318:0.743858:0.607325:0.743858:0.000000
π:@0.615637:0.760925:0.625754:0.760925:0.630319:0.745352:0.620202:0.745352:0.000000
=:@0.594652:0.760925:0.604769:0.760925:0.604769:0.745352:0.594652:0.745352:0.000000
B:@0.188015:0.406639:0.196860:0.406639:0.196860:0.390278:0.188015:0.390278:0.000000
 = 4:@0.196860:0.406639:0.224907:0.406639:0.224907:0.390250:0.196860:0.390250:0.000000:0.000000:0.000000:0.000000
Función par:@0.193045:0.536505:0.280263:0.536505:0.280263:0.520117:0.193045:0.520117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función impar:@0.579897:0.348814:0.686058:0.348814:0.686058:0.332425:0.579897:0.332425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–π):@0.221598:0.659960:0.239622:0.659960:0.239622:0.649530:0.221598:0.649530:0.000000:0.000000:0.000000:0.000000
(–π/8):@0.304611:0.659960:0.332708:0.659960:0.332708:0.649530:0.304611:0.649530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(π/8):@0.351413:0.659960:0.373646:0.659960:0.373646:0.649530:0.351413:0.649530:0.000000:0.000000:0.000000:0.000000:0.000000
(π):@0.445507:0.659960:0.457668:0.659960:0.457668:0.649530:0.445507:0.649530:0.000000:0.000000:0.000000
(– 8π):@0.600661:0.488521:0.626976:0.488521:0.626976:0.478091:0.600661:0.478091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(– 4π):@0.661957:0.488521:0.688271:0.488521:0.688271:0.478091:0.661957:0.478091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4π):@0.790329:0.488521:0.808212:0.488521:0.808212:0.478091:0.790329:0.478091:0.000000:0.000000:0.000000:0.000000
(8π):@0.852492:0.488521:0.870375:0.488521:0.870375:0.478091:0.852492:0.478091:0.000000:0.000000:0.000000:0.000000
]:@0.623079:0.913542:0.629216:0.913542:0.629216:0.893921:0.623079:0.893921:0.000000
] [ [:@0.672926:0.913542:0.731350:0.913542:0.731350:0.893921:0.672926:0.893921:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.610411:0.911171:0.620528:0.911171:0.620528:0.895598:0.610411:0.895598:0.000000
∞:@0.638993:0.911171:0.652131:0.911171:0.652131:0.895598:0.638993:0.895598:0.000000
∞:@0.711874:0.911171:0.725013:0.911171:0.725013:0.895598:0.711874:0.895598:0.000000
:@0.681560:0.911365:0.693723:0.911365:0.693723:0.894616:0.681560:0.894616:0.000000
Rec:@0.580890:0.910493:0.607113:0.910493:0.607113:0.894104:0.580890:0.894104:0.000000:0.000000:0.000000
– ,–1:@0.629889:0.910493:0.675471:0.910493:0.675471:0.894104:0.629889:0.894104:0.000000:0.000000:0.000000:0.000000:0.000000
1,:@0.701288:0.910493:0.710937:0.910493:0.710937:0.894104:0.701288:0.894104:0.000000:0.000000
 ©:@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