El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{x}{x^{4} - 16} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = 9389.15057513904$$
$$x_{2} = -39771.8230970718$$
$$x_{3} = 28884.2114649697$$
$$x_{4} = -12648.4639053896$$
$$x_{5} = -16886.5212863653$$
$$x_{6} = 41598.2631610587$$
$$x_{7} = -27905.3752142785$$
$$x_{8} = 25493.7979695406$$
$$x_{9} = 20408.175573558$$
$$x_{10} = -10105.5682307074$$
$$x_{11} = -17734.1275771308$$
$$x_{12} = -21124.5467305885$$
$$x_{13} = 26341.4013776652$$
$$x_{14} = 37360.2454891671$$
$$x_{15} = 12779.699148658$$
$$x_{16} = 31427.021528788$$
$$x_{17} = 18712.966246377$$
$$x_{18} = 23798.5909936427$$
$$x_{19} = -21972.1506746415$$
$$x_{20} = -41467.0302159327$$
$$x_{21} = 10236.80795557$$
$$x_{22} = -26210.1684740975$$
$$x_{23} = -32143.391993459$$
$$x_{24} = 11932.0774603584$$
$$x_{25} = 40750.6595892069$$
$$x_{26} = 35665.038553917$$
$$x_{27} = -36381.40908677$$
$$x_{28} = -28752.97856445$$
$$x_{29} = 15322.5389900482$$
$$x_{30} = -42314.6338027785$$
$$x_{31} = -37229.0125605144$$
$$x_{32} = 32274.6249022224$$
$$x_{33} = 22950.9873788779$$
$$x_{34} = -31295.7886227931$$
$$x_{35} = -27057.7718541128$$
$$x_{36} = -33838.5987785747$$
$$x_{37} = 42445.8667509803$$
$$x_{38} = -22819.7544381535$$
$$x_{39} = -38924.2195657489$$
$$x_{40} = -25362.5650615$$
$$x_{41} = 39055.4525011759$$
$$x_{42} = 27189.0047552326$$
$$x_{43} = 11084.4482824334$$
$$x_{44} = -11800.8412650999$$
$$x_{45} = 19560.5711165887$$
$$x_{46} = 34817.4351146439$$
$$x_{47} = 30579.418167128$$
$$x_{48} = 33122.2282898894$$
$$x_{49} = -10953.2106823887$$
$$x_{50} = 22103.3836362641$$
$$x_{51} = -15191.3052003182$$
$$x_{52} = -14343.6945028541$$
$$x_{53} = -40619.4266472391$$
$$x_{54} = 16170.1475026008$$
$$x_{55} = -9257.90753976151$$
$$x_{56} = 39903.0560358041$$
$$x_{57} = -13496.0811048387$$
$$x_{58} = -35533.8056321403$$
$$x_{59} = 17865.3608241084$$
$$x_{60} = 28036.608114504$$
$$x_{61} = -20276.9425445156$$
$$x_{62} = -19429.3380351854$$
$$x_{63} = 29731.8148139625$$
$$x_{64} = 38207.8489855768$$
$$x_{65} = 0$$
$$x_{66} = 33969.831693598$$
$$x_{67} = -23667.3580679472$$
$$x_{68} = -38076.6160535142$$
$$x_{69} = -32990.9953780887$$
$$x_{70} = 13627.3156894593$$
$$x_{71} = -29600.5819122437$$
$$x_{72} = -16038.9139523032$$
$$x_{73} = 36512.6420119861$$
$$x_{74} = 24646.1945150236$$
$$x_{75} = 14474.9286237899$$
$$x_{76} = 17017.7546618872$$
$$x_{77} = -18581.7330944549$$
$$x_{78} = -24514.9615998732$$
$$x_{79} = -34686.2021962782$$
$$x_{80} = -30448.1852635265$$
$$x_{81} = 21255.7797208243$$