44:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
1.:@0.404236:0.096411:0.416508:0.096411:0.416508:0.079697:0.404236:0.079697:0.000000:0.000000
  Sean :@0.416508:0.096194:0.465769:0.096194:0.465769:0.079697:0.416508:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = :@0.466424:0.096310:0.497519:0.096310:0.497519:0.079841:0.466424:0.079841:0.000000:0.000000:0.000000:0.000000
[0, 2]  y  :@0.498270:0.096194:0.561171:0.096194:0.561171:0.079697:0.498270:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g   F(A):@0.561826:0.096310:0.634615:0.096310:0.634615:0.079841:0.561826:0.079841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.585477:0.095676:0.600129:0.095676:0.600129:0.082302:0.585477:0.082302:0.000000
 las funciones reales definidas como  :@0.634615:0.096194:0.895910:0.096194:0.895910:0.079697:0.634615:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x) = 2x, g(x) =   x , x :@0.427976:0.120673:0.589174:0.120673:0.589174:0.104204:0.427976:0.104204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.539522:0.112880:0.548018:0.112880:0.548018:0.096382:0.539522:0.096382:0.000000
4:@0.539522:0.126717:0.548018:0.126717:0.548018:0.110219:0.539522:0.110219:0.000000
2:@0.565858:0.114273:0.570564:0.114273:0.570564:0.104671:0.565858:0.104671:0.000000
:@0.589174:0.120038:0.603827:0.120038:0.603827:0.106665:0.589174:0.106665:0.000000
 [0, 2]. La función   está definida como:@0.603828:0.120557:0.882844:0.120557:0.882844:0.104059:0.603828:0.104059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg:@0.730341:0.120673:0.742189:0.120673:0.742189:0.104204:0.730341:0.104204:0.000000:0.000000
 :@0.404240:0.154420:0.408382:0.154420:0.408382:0.137922:0.404240:0.137922:0.000000
(fg)(x) = f (x)g (x) = 2x :@0.427974:0.154535:0.583753:0.154535:0.583753:0.138067:0.427974:0.138067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.590576:0.144226:0.599072:0.144226:0.599072:0.127728:0.590576:0.127728:0.000000
4:@0.590576:0.160564:0.599072:0.160564:0.599072:0.144067:0.590576:0.144067:0.000000
x  =   x ,  x :@0.605297:0.154534:0.697263:0.154534:0.697263:0.138065:0.605297:0.138065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.612772:0.148134:0.617478:0.148134:0.617478:0.138533:0.612772:0.138533:0.000000
1:@0.643469:0.144225:0.651965:0.144225:0.651965:0.127727:0.643469:0.127727:0.000000
2:@0.643469:0.160564:0.651965:0.160564:0.651965:0.144066:0.643469:0.144066:0.000000
3:@0.669805:0.148134:0.674511:0.148134:0.674511:0.138533:0.669805:0.138533:0.000000
:@0.697262:0.153900:0.711915:0.153900:0.711915:0.140527:0.697262:0.140527:0.000000
 [0, 2].:@0.711914:0.154419:0.754895:0.154419:0.754895:0.137921:0.711914:0.137921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404229:0.171769:0.408371:0.171769:0.408371:0.155272:0.404229:0.155272:0.000000
 :@0.404229:0.189120:0.408371:0.189120:0.408371:0.172622:0.404229:0.172622:0.000000
Calculemos algunas imágenes :@0.427963:0.189120:0.642942:0.189120:0.642942:0.172622:0.427963:0.172622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(fg)(x)  x   :@0.642942:0.189236:0.722707:0.189236:0.722707:0.172767:0.642942:0.172767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.703911:0.188601:0.718564:0.188601:0.718564:0.175228:0.703911:0.175228:0.000000
[0, 2] Tenemos::@0.722803:0.189120:0.833403:0.189120:0.833403:0.172622:0.722803:0.172622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.758694:0.189236:0.765688:0.189236:0.765688:0.172767:0.758694:0.172767:0.000000:0.000000
x:@0.452161:0.231707:0.460253:0.231707:0.460253:0.214545:0.452161:0.214545:0.000000
f(x) = 2x:@0.501924:0.231707:0.565846:0.231707:0.565846:0.214545:0.501924:0.214545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g(x) =:@0.613431:0.231707:0.658781:0.231707:0.658781:0.214545:0.613431:0.214545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.658781:0.226676:0.663309:0.226676:0.663309:0.209513:0.658781:0.209513:0.000000
1:@0.663309:0.226444:0.672691:0.226444:0.672691:0.209498:0.663309:0.209498:0.000000
 x:@0.672691:0.231476:0.685194:0.231476:0.685194:0.214530:0.672691:0.214530:0.000000:0.000000
2:@0.685184:0.224931:0.690654:0.224931:0.690654:0.215052:0.685184:0.215052:0.000000
       4:@0.633255:0.238768:0.670822:0.238768:0.670822:0.221822:0.633255:0.221822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.670822:0.244031:0.675349:0.244031:0.675349:0.226869:0.670822:0.226869:0.000000
f(x)g(x) =:@0.754009:0.231712:0.825811:0.231712:0.825811:0.214550:0.754009:0.214550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.825811:0.226681:0.830338:0.226681:0.830338:0.209518:0.825811:0.209518:0.000000
1:@0.830338:0.226449:0.839721:0.226449:0.839721:0.209503:0.830338:0.209503:0.000000
 x:@0.839721:0.231481:0.852224:0.231481:0.852224:0.214535:0.839721:0.214535:0.000000:0.000000
3:@0.852217:0.224931:0.857687:0.224931:0.857687:0.215052:0.852217:0.215052:0.000000
               2:@0.770956:0.238768:0.840735:0.238768:0.840735:0.221822:0.770956:0.221822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.451866:0.264722:0.460535:0.264722:0.460535:0.248167:0.451866:0.248167:0.000000
0:@0.529543:0.264722:0.538213:0.264722:0.538213:0.248167:0.529543:0.248167:0.000000
0:@0.647697:0.264722:0.656366:0.264722:0.656366:0.248167:0.647697:0.248167:0.000000
0:@0.801511:0.264722:0.810180:0.264722:0.810180:0.248167:0.801511:0.248167:0.000000
1/2:@0.444314:0.286064:0.468106:0.286064:0.468106:0.269508:0.444314:0.269508:0.000000:0.000000:0.000000
1:@0.529543:0.286064:0.538213:0.286064:0.538213:0.269508:0.529543:0.269508:0.000000
1/16:@0.635810:0.286064:0.668272:0.286064:0.668272:0.269508:0.635810:0.269508:0.000000:0.000000:0.000000:0.000000
1/16:@0.789624:0.286064:0.822086:0.286064:0.822086:0.269508:0.789624:0.269508:0.000000:0.000000:0.000000:0.000000
1:@0.451885:0.307405:0.460554:0.307405:0.460554:0.290850:0.451885:0.290850:0.000000
2:@0.529563:0.307405:0.538232:0.307405:0.538232:0.290850:0.529563:0.290850:0.000000
1/4:@0.640164:0.307405:0.663957:0.307405:0.663957:0.290850:0.640164:0.290850:0.000000:0.000000:0.000000
1/2:@0.793978:0.307405:0.817771:0.307405:0.817771:0.290850:0.793978:0.290850:0.000000:0.000000:0.000000
2:@0.451904:0.328746:0.460574:0.328746:0.460574:0.312191:0.451904:0.312191:0.000000
4:@0.529582:0.328746:0.538251:0.328746:0.538251:0.312191:0.529582:0.312191:0.000000
1:@0.647736:0.328746:0.656405:0.328746:0.656405:0.312191:0.647736:0.312191:0.000000
4:@0.801549:0.328746:0.810219:0.328746:0.810219:0.312191:0.801549:0.312191:0.000000
 :@0.404236:0.361433:0.408378:0.361433:0.408378:0.344935:0.404236:0.344935:0.000000
En la Figura 2.3. se muestran las funciones     y     :@0.427971:0.361433:0.795937:0.361433:0.795937:0.344935:0.427971:0.344935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g:@0.730299:0.361549:0.748447:0.361549:0.748447:0.345080:0.730299:0.345080:0.000000:0.000000:0.000000:0.000000
fg.:@0.772838:0.361549:0.787653:0.361549:0.787653:0.345080:0.772838:0.345080:0.000000:0.000000:0.000000
2.:@0.404236:0.396352:0.416508:0.396352:0.416508:0.379637:0.404236:0.379637:0.000000:0.000000
  Considera las funciones reales :@0.416508:0.396135:0.654238:0.396135:0.654238:0.379637:0.416508:0.379637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g:@0.658014:0.396250:0.679937:0.396250:0.679937:0.379782:0.658014:0.379782:0.000000:0.000000:0.000000:0.000000
 definidas en todo   como  :@0.679961:0.396135:0.895908:0.396135:0.895908:0.379637:0.679961:0.379637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.828757:0.395048:0.842062:0.395048:0.842062:0.382186:0.828757:0.382186:0.000000
siguen::@0.427974:0.413485:0.476060:0.413485:0.476060:0.396988:0.427974:0.396988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404240:0.436360:0.408382:0.436360:0.408382:0.419891:0.404240:0.419891:0.000000
 :@0.427984:0.436360:0.432126:0.436360:0.432126:0.419891:0.427984:0.419891:0.000000
–x,     x < 0 , :@0.489681:0.436360:0.582636:0.436360:0.582636:0.419891:0.489681:0.419891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si:@0.518444:0.436244:0.528500:0.436244:0.528500:0.419746:0.518444:0.419746:0.000000:0.000000
 :@0.618675:0.436360:0.622817:0.436360:0.622817:0.419891:0.618675:0.419891:0.000000
1:@0.687824:0.427771:0.695896:0.427771:0.695896:0.411302:0.687824:0.411302:0.000000
x:@0.687824:0.444110:0.695299:0.444110:0.695299:0.427641:0.687824:0.427641:0.000000
,     x < 0 ,:@0.702534:0.436360:0.773720:0.436360:0.773720:0.419891:0.702534:0.419891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si:@0.713670:0.436244:0.723726:0.436244:0.723726:0.419746:0.713670:0.419746:0.000000:0.000000
 :@0.404231:0.453595:0.408373:0.453595:0.408373:0.437097:0.404231:0.437097:0.000000
f(x) = :@0.427966:0.453710:0.469772:0.453710:0.469772:0.437242:0.427966:0.437242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.450603:0.453595:0.454745:0.453595:0.454745:0.437097:0.450603:0.437097:0.000000
 :@0.489661:0.453710:0.493803:0.453710:0.493803:0.437242:0.489661:0.437242:0.000000
g(x) =  :@0.618653:0.453710:0.667741:0.453710:0.667741:0.437242:0.618653:0.437242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,     x  ≥ 0 , :@0.489673:0.469499:0.577214:0.469499:0.577214:0.453031:0.489673:0.453031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si:@0.508880:0.469384:0.518936:0.469384:0.518936:0.452886:0.508880:0.452886:0.000000:0.000000
–   x – 1,    x ≥ 0.:@0.685677:0.475789:0.821767:0.475780:0.821767:0.459311:0.685677:0.459320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.701995:0.467895:0.710067:0.467895:0.710067:0.451426:0.701995:0.451426:0.000000
2:@0.701995:0.484233:0.710067:0.484233:0.710067:0.467764:0.701995:0.467764:0.000000
si :@0.765859:0.475664:0.780058:0.475664:0.780058:0.459166:0.765859:0.459166:0.000000:0.000000:0.000000
Definamos la función  . Si  :@0.404231:0.515990:0.599793:0.515990:0.599793:0.499492:0.404231:0.499492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg:@0.560954:0.516106:0.572802:0.516106:0.572802:0.499637:0.560954:0.499637:0.000000:0.000000
x < 0,  f(x) = –x, g(x) =  , :@0.599793:0.516106:0.780866:0.516109:0.780866:0.499640:0.599793:0.499637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.759155:0.507300:0.767227:0.507300:0.767227:0.490831:0.759155:0.490831:0.000000
x:@0.759155:0.523639:0.766630:0.523639:0.766630:0.507170:0.759155:0.507170:0.000000
entonces,:@0.780866:0.515993:0.848583:0.515993:0.848583:0.499496:0.780866:0.499496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(fg)(x) = f(x)g(x) = –x    = :@0.542324:0.557823:0.731941:0.557822:0.731941:0.541354:0.542324:0.541354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.698064:0.547514:0.706560:0.547514:0.706560:0.531016:0.698064:0.531016:0.000000
x:@0.698064:0.563968:0.705539:0.563968:0.705539:0.547499:0.698064:0.547499:0.000000
–1.:@0.731941:0.557707:0.753691:0.557707:0.753691:0.541209:0.731941:0.541209:0.000000:0.000000:0.000000
Si  :@0.506441:0.599421:0.526535:0.599421:0.526535:0.582923:0.506441:0.582923:0.000000:0.000000:0.000000:0.000000
x≥ 0, f (x) = 2, g(x) = –   x – 1,:@0.526535:0.599536:0.741950:0.599536:0.741950:0.583067:0.526535:0.583068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.686378:0.589227:0.694874:0.589227:0.694874:0.572730:0.686378:0.572730:0.000000
2:@0.686378:0.605566:0.694874:0.605566:0.694874:0.589068:0.686378:0.589068:0.000000
 :@0.741950:0.590730:0.746092:0.590730:0.746092:0.574262:0.741950:0.574262:0.000000
 luego :@0.746092:0.599420:0.793716:0.599420:0.793716:0.582922:0.746092:0.582922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404230:0.616771:0.408372:0.616771:0.408372:0.600273:0.404230:0.600273:0.000000
(fg)(x) = f(x)g(x) = 2  –   x –1  = –x – 2.:@0.508436:0.641250:0.787570:0.641249:0.787570:0.624781:0.508436:0.624781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.668916:0.631056:0.676988:0.631056:0.676988:0.614588:0.668916:0.614588:0.000000
2:@0.668916:0.647395:0.676988:0.647395:0.676988:0.630926:0.668916:0.630926:0.000000
Así, :@0.529589:0.694068:0.558699:0.694068:0.558699:0.677570:0.529589:0.677570:0.000000:0.000000:0.000000:0.000000:0.000000
fg x:@0.571100:0.688956:0.605588:0.688956:0.605588:0.672488:0.571100:0.672488:0.000000:0.000000:0.000000:0.000000
( )( ):@0.560054:0.690252:0.613885:0.690252:0.613885:0.669553:0.560054:0.669553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.615494:0.688841:0.626302:0.688841:0.626302:0.672343:0.615494:0.672343:0.000000
1, si:@0.661459:0.678113:0.690222:0.678113:0.690222:0.661616:0.661459:0.661616:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.698872:0.678229:0.706347:0.678229:0.706347:0.661760:0.698872:0.661760:0.000000
0,:@0.726375:0.678113:0.737549:0.678113:0.737549:0.661616:0.726375:0.661616:0.000000:0.000000
x:@0.661772:0.700586:0.669247:0.700586:0.669247:0.684118:0.661772:0.684118:0.000000
2, si:@0.687162:0.700471:0.715925:0.700471:0.715925:0.683973:0.687162:0.683973:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.724576:0.700586:0.732050:0.700586:0.732050:0.684118:0.724576:0.684118:0.000000
0.:@0.752078:0.700471:0.763252:0.700471:0.763252:0.683973:0.752078:0.683973:0.000000:0.000000
En la Figura 2.4. se representan las funciones     y   . Identifica a cada :@0.404236:0.740083:0.895922:0.740083:0.895922:0.723586:0.404236:0.723586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g:@0.718584:0.740199:0.736250:0.740199:0.736250:0.723730:0.718584:0.723730:0.000000:0.000000:0.000000:0.000000
fg:@0.758659:0.740199:0.770507:0.740199:0.770507:0.723730:0.758659:0.723730:0.000000:0.000000
una de ellas.:@0.404236:0.757434:0.490080:0.757434:0.490080:0.740936:0.404236:0.740936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404236:0.774785:0.408378:0.774785:0.408378:0.758287:0.404236:0.758287:0.000000
Demostración:@0.404236:0.793533:0.518280:0.793533:0.518280:0.775850:0.404236:0.775850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se demuestra la propiedad conmutativa del producto de funciones. :@0.404236:0.810241:0.895938:0.810241:0.895938:0.793743:0.404236:0.793743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El resto se deja como tarea para el estudiante.:@0.404236:0.827591:0.725769:0.827591:0.725769:0.811094:0.404236:0.811094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i.:@0.404236:0.862510:0.411846:0.862510:0.411846:0.845795:0.404236:0.845795:0.000000:0.000000
  Sean :@0.411846:0.862293:0.465769:0.862293:0.465769:0.845795:0.411846:0.845795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g   F(A).:@0.465769:0.862409:0.539401:0.862409:0.539401:0.845940:0.465769:0.845940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.488067:0.861774:0.502719:0.861774:0.502719:0.848401:0.488067:0.848401:0.000000
 Entonces, para cada :@0.539401:0.862293:0.688761:0.862293:0.688761:0.845795:0.539401:0.845795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  A:@0.688761:0.862409:0.730698:0.862409:0.730698:0.845940:0.688761:0.845940:0.000000:0.000000:0.000000:0.000000
 :@0.700377:0.861774:0.719427:0.861774:0.719427:0.848401:0.700377:0.848401:0.000000:0.000000
 se tiene:  :@0.730698:0.862293:0.800149:0.862293:0.800149:0.845795:0.730698:0.845795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404229:0.879644:0.408371:0.879644:0.408371:0.863146:0.404229:0.863146:0.000000
f(x), g(x)   :@0.427963:0.879759:0.506321:0.879759:0.506321:0.863291:0.427963:0.863291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.487527:0.879125:0.502180:0.879125:0.502180:0.865752:0.487527:0.865752:0.000000
R:@0.506321:0.878675:0.520231:0.878675:0.520231:0.865228:0.506321:0.865228:0.000000
  y:@0.520231:0.879644:0.536336:0.879644:0.536336:0.863146:0.520231:0.863146:0.000000:0.000000:0.000000
  f(x)g(x) = g(x) f(x). :@0.536336:0.879759:0.671752:0.879759:0.671752:0.863291:0.536336:0.863291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, :@0.671752:0.879644:0.721859:0.879644:0.721859:0.863146:0.671752:0.863146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(fg)(x) = f(x)g(x) = g (x) f(x) = (gf)(x),      x   A,:@0.484648:0.904238:0.811366:0.904238:0.811366:0.887769:0.484648:0.887770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.778066:0.903603:0.792718:0.903603:0.792718:0.890230:0.778066:0.890230:0.000000
 :@0.404234:0.928601:0.408376:0.928601:0.408376:0.912103:0.404234:0.912103:0.000000
y por la igualdad de funciones se concluye que :@0.427968:0.928601:0.763219:0.928601:0.763219:0.912103:0.427968:0.912103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg = gf:@0.763219:0.928717:0.807413:0.928717:0.807413:0.912248:0.763219:0.912248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.807413:0.928601:0.810168:0.928601:0.810168:0.912103:0.807413:0.912103:0.000000
Recuerda que…:@0.199646:0.640252:0.309406:0.640252:0.309406:0.624780:0.199646:0.624780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de funciones :@0.199884:0.668880:0.363536:0.668880:0.363536:0.653817:0.199884:0.653817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumple con las propiedades::@0.153341:0.684722:0.333948:0.684722:0.333948:0.669659:0.153341:0.669659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i.:@0.153341:0.700762:0.160289:0.700762:0.160289:0.685501:0.153341:0.685501:0.000000:0.000000
 :@0.160289:0.700564:0.164070:0.700564:0.164070:0.685501:0.160289:0.685501:0.000000
Conmutativa:@0.169963:0.700986:0.262696:0.700986:0.262696:0.685514:0.169963:0.685514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Para todo  :@0.262698:0.700564:0.340110:0.700564:0.340110:0.685501:0.262698:0.685501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f, g    (A), fg = gf.:@0.153341:0.716511:0.284650:0.716511:0.284650:0.701475:0.153341:0.701475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.190315:0.716208:0.204967:0.716208:0.204967:0.702834:0.190315:0.702834:0.000000
F:@0.208749:0.716406:0.216155:0.716406:0.216155:0.701343:0.208749:0.701343:0.000000
ii.:@0.153341:0.748288:0.164176:0.748288:0.164176:0.733027:0.153341:0.733027:0.000000:0.000000:0.000000
 :@0.164176:0.748090:0.167958:0.748090:0.167958:0.733027:0.164176:0.733027:0.000000
Asociativa:@0.169963:0.748512:0.243050:0.748512:0.243050:0.733040:0.169963:0.733040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Para todo:@0.243050:0.748090:0.312900:0.748090:0.312900:0.733027:0.243050:0.733027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f, g, h   (A), f(gh) = (fg)h.:@0.153341:0.764037:0.321360:0.764037:0.321360:0.749001:0.153341:0.749001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  F:@0.197914:0.763932:0.226480:0.763932:0.226480:0.748869:0.197914:0.748869:0.000000:0.000000:0.000000
:@0.201168:0.763734:0.215820:0.763734:0.215820:0.750360:0.201168:0.750360:0.000000
iii.:@0.153341:0.795814:0.168063:0.795814:0.168063:0.780553:0.153341:0.780553:0.000000:0.000000:0.000000:0.000000
 Existencia de elemento :@0.168063:0.796038:0.335921:0.796038:0.335921:0.780566:0.168063:0.780566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidad :@0.169963:0.811880:0.226005:0.811880:0.226005:0.796408:0.169963:0.796408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Existe :@0.219813:0.811458:0.266707:0.811458:0.266707:0.796395:0.219813:0.796395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.266707:0.812144:0.275502:0.812144:0.275502:0.794546:0.266707:0.794546:0.000000
A :@0.275506:0.814511:0.283710:0.814511:0.283710:0.805745:0.275506:0.805745:0.000000:0.000000
:@0.283709:0.811260:0.298362:0.811260:0.298362:0.797886:0.283709:0.797886:0.000000
  (A),:@0.298362:0.811563:0.329725:0.811563:0.329725:0.796527:0.298362:0.796527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.301616:0.811458:0.309021:0.811458:0.309021:0.796395:0.301616:0.796395:0.000000
 :@0.329725:0.811458:0.333507:0.811458:0.333507:0.796395:0.329725:0.796395:0.000000
definida como   :@0.169972:0.827300:0.287238:0.827300:0.287238:0.812237:0.169972:0.812237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.268668:0.827986:0.277463:0.827986:0.277463:0.810388:0.268668:0.810388:0.000000
A:@0.277457:0.830353:0.283457:0.830353:0.283457:0.821587:0.277457:0.821587:0.000000
(x) = 1,:@0.287238:0.827405:0.328293:0.827405:0.328293:0.812369:0.287238:0.812369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.328293:0.827300:0.339111:0.827300:0.339111:0.812237:0.328293:0.812237:0.000000:0.000000:0.000000
 x   A, :@0.180617:0.844505:0.230467:0.844505:0.230467:0.829468:0.180617:0.829468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.195005:0.842947:0.209658:0.842947:0.209658:0.829573:0.195005:0.829573:0.000000
tal que para todo :@0.230467:0.843145:0.347263:0.843145:0.347263:0.828082:0.230467:0.828082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.347263:0.843250:0.351045:0.843250:0.351045:0.828214:0.347263:0.828214:0.000000
f:@0.169975:0.859092:0.173897:0.859092:0.173897:0.844056:0.169975:0.844056:0.000000
 :@0.173897:0.858987:0.177679:0.858987:0.177679:0.843924:0.173897:0.843924:0.000000
:@0.177679:0.858789:0.192332:0.858789:0.192332:0.845415:0.177679:0.845415:0.000000
  (A),   :@0.192332:0.859092:0.233457:0.859092:0.233457:0.844056:0.192332:0.844056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.195586:0.858987:0.202991:0.858987:0.202991:0.843924:0.195586:0.843924:0.000000
1:@0.232930:0.859673:0.241725:0.859673:0.241725:0.842075:0.232930:0.842075:0.000000
A:@0.241714:0.862037:0.247714:0.862037:0.247714:0.853271:0.241714:0.853271:0.000000
 :@0.247714:0.858984:0.251495:0.858984:0.251495:0.843921:0.247714:0.843921:0.000000
f = f .:@0.251495:0.859089:0.280589:0.859089:0.280589:0.844053:0.251495:0.844053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iv.:@0.153343:0.890866:0.167222:0.890866:0.167222:0.875605:0.153343:0.875605:0.000000:0.000000:0.000000
 :@0.167222:0.890668:0.171003:0.890668:0.171003:0.875605:0.167222:0.875605:0.000000
Distributiva :@0.171003:0.891090:0.260941:0.891090:0.260941:0.875618:0.171003:0.875618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Para todo:@0.254750:0.890668:0.324494:0.890668:0.324494:0.875605:0.254750:0.875605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153343:0.906510:0.157125:0.906510:0.157125:0.891447:0.153343:0.891447:0.000000
f, g, h    (A),:@0.169966:0.906615:0.251407:0.906615:0.251407:0.891579:0.169966:0.891579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.205392:0.906312:0.220044:0.906312:0.220044:0.892938:0.205392:0.892938:0.000000
F:@0.223299:0.906510:0.230704:0.906510:0.230704:0.891447:0.223299:0.891447:0.000000
  f (g + h) = fg + fh.:@0.153343:0.922457:0.277844:0.922457:0.277844:0.907421:0.153343:0.907421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.362292:0.267792:0.367795:0.267792:0.367795:0.255893:0.362292:0.255893:0.000000
y:@0.183996:0.100955:0.189677:0.100955:0.189677:0.089055:0.183996:0.089055:0.000000
4:@0.180977:0.131134:0.187027:0.131134:0.187027:0.119234:0.180977:0.119234:0.000000
3:@0.180977:0.163593:0.187027:0.163593:0.187027:0.151694:0.180977:0.151694:0.000000
2:@0.180977:0.196052:0.187027:0.196052:0.187027:0.184153:0.180977:0.184153:0.000000
1:@0.180977:0.228512:0.187027:0.228512:0.187027:0.216612:0.180977:0.216612:0.000000
0:@0.186289:0.266280:0.192339:0.266280:0.192339:0.254381:0.186289:0.254381:0.000000
1:@0.236134:0.270360:0.242184:0.270360:0.242184:0.258460:0.236134:0.258460:0.000000
2:@0.279152:0.270360:0.285201:0.270360:0.285201:0.258460:0.279152:0.258460:0.000000
3:@0.322169:0.270360:0.328218:0.270360:0.328218:0.258460:0.322169:0.258460:0.000000
y = 2x:@0.233146:0.146698:0.264336:0.146698:0.264336:0.134798:0.233146:0.134798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y =      x:@0.285258:0.147928:0.325694:0.147928:0.325694:0.136028:0.285258:0.136028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.325688:0.143317:0.329215:0.143317:0.329215:0.136379:0.325688:0.136379:0.000000
1:@0.307479:0.143262:0.312401:0.143262:0.312401:0.133583:0.307479:0.133583:0.000000
2:@0.307479:0.151525:0.312401:0.151525:0.312401:0.141845:0.307479:0.141845:0.000000
1:@0.215896:0.263268:0.219393:0.263268:0.219393:0.256388:0.215896:0.256388:0.000000
2:@0.215896:0.269140:0.219393:0.269140:0.219393:0.262261:0.215896:0.262261:0.000000
1:@0.186030:0.235465:0.189527:0.235465:0.189527:0.228586:0.186030:0.228586:0.000000
2:@0.186030:0.241338:0.189527:0.241338:0.189527:0.234458:0.186030:0.234458:0.000000
1:@0.186120:0.247290:0.189441:0.247290:0.189441:0.240758:0.186120:0.240758:0.000000
4:@0.186120:0.252861:0.189441:0.252861:0.189441:0.246328:0.186120:0.246328:0.000000
y =      x:@0.285348:0.225861:0.325784:0.225861:0.325784:0.213962:0.285348:0.213962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.325783:0.221247:0.329310:0.221247:0.329310:0.214309:0.325783:0.214309:0.000000
1:@0.307541:0.221531:0.312535:0.221531:0.312535:0.211708:0.307541:0.211708:0.000000
4:@0.307541:0.229916:0.312535:0.229916:0.312535:0.220093:0.307541:0.220093:0.000000
–3:@0.170691:0.449365:0.177909:0.449706:0.178450:0.443256:0.171232:0.442915:0.000000:0.000000
–2:@0.192514:0.460161:0.199747:0.460161:0.199747:0.453698:0.192514:0.453698:0.000000:0.000000
–1:@0.216332:0.460161:0.223565:0.460161:0.223565:0.453698:0.216332:0.453698:0.000000:0.000000
0:@0.239431:0.457895:0.242717:0.457895:0.242717:0.451432:0.239431:0.451432:0.000000
1:@0.266364:0.460161:0.269650:0.460161:0.269650:0.453698:0.266364:0.453698:0.000000
3:@0.237124:0.401601:0.240410:0.401601:0.240410:0.395138:0.237124:0.395138:0.000000
2:@0.237124:0.419137:0.240410:0.419137:0.240410:0.412674:0.237124:0.412674:0.000000
1:@0.237124:0.436674:0.240410:0.436674:0.240410:0.430210:0.237124:0.430210:0.000000
–1:@0.250261:0.471891:0.257493:0.471891:0.257493:0.465428:0.250261:0.465428:0.000000:0.000000
–2:@0.250261:0.489427:0.257493:0.489427:0.257493:0.482964:0.250261:0.482964:0.000000:0.000000
–3:@0.250261:0.506963:0.257493:0.506963:0.257493:0.500500:0.250261:0.500500:0.000000:0.000000
–4:@0.250261:0.524500:0.257493:0.524500:0.257493:0.518036:0.250261:0.518036:0.000000:0.000000
2:@0.289730:0.460172:0.293016:0.460172:0.293016:0.453709:0.289730:0.453709:0.000000
3:@0.313095:0.460172:0.316381:0.460172:0.316381:0.453709:0.313095:0.453709:0.000000
x:@0.350020:0.457907:0.353010:0.457907:0.353010:0.451443:0.350020:0.451443:0.000000
y:@0.237228:0.385122:0.240313:0.385122:0.240313:0.378659:0.237228:0.378659:0.000000
(2, –2):@0.294253:0.487072:0.312338:0.487072:0.312338:0.480609:0.294253:0.480609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, –4):@0.276125:0.533151:0.294209:0.533151:0.294209:0.526688:0.276125:0.526688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = –      x– 1:@0.325103:0.495735:0.362534:0.495736:0.362534:0.489273:0.325103:0.489271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.352672:0.493230:0.353641:0.493230:0.353641:0.489461:0.352672:0.489461:0.000000
1:@0.343350:0.493383:0.346062:0.493383:0.346062:0.488047:0.343350:0.488047:0.000000
2:@0.343350:0.497937:0.346062:0.497937:0.346062:0.492601:0.343350:0.492601:0.000000
y = –x – 2:@0.300651:0.525101:0.328808:0.525101:0.328808:0.518637:0.300651:0.518637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y =       :@0.219576:0.520152:0.240212:0.520152:0.240212:0.513688:0.219576:0.513688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.231730:0.517799:0.234443:0.517799:0.234443:0.512464:0.231730:0.512464:0.000000
x:@0.231853:0.522354:0.234320:0.522354:0.234320:0.517018:0.231853:0.517018:0.000000
y = 2:@0.317747:0.414077:0.331699:0.414077:0.331699:0.407614:0.317747:0.407614:0.000000:0.000000:0.000000:0.000000:0.000000
y = –x:@0.195727:0.411606:0.213329:0.411606:0.213329:0.405142:0.195727:0.405142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, 2):@0.292861:0.424593:0.306999:0.424593:0.306999:0.418130:0.292861:0.418130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = –1:@0.157801:0.475933:0.175699:0.475933:0.175699:0.469470:0.157801:0.469470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.308066:0.308273:0.319546:0.308273:0.319546:0.298248:0.308066:0.298248:0.000000
 Figura 2.3.:@0.319546:0.308980:0.370996:0.308980:0.370996:0.297504:0.319546:0.297504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.308066:0.560643:0.319546:0.560643:0.319546:0.550619:0.308066:0.550619:0.000000
 :@0.319546:0.561351:0.322428:0.561351:0.322428:0.549874:0.319546:0.549874:0.000000
Figura 2.4:@0.322428:0.561351:0.369080:0.561351:0.369080:0.549874:0.322428:0.549874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.369080:0.561351:0.370996:0.561351:0.370996:0.549874:0.369080:0.549874:0.000000