El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\tan{\left(2 x^{3} - 5 \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{2^{\frac{2}{3}} \sqrt[3]{5}}{2}$$
Solución numérica$$x_{1} = 76.6482099081789$$
$$x_{2} = 81.934678860784$$
$$x_{3} = -6.11274822093914$$
$$x_{4} = 55.7179107000844$$
$$x_{5} = -59.7945904792717$$
$$x_{6} = -97.2725649134396$$
$$x_{7} = 40.0594467910745$$
$$x_{8} = -67.936504221419$$
$$x_{9} = -99.7672760640937$$
$$x_{10} = 25.9296058535865$$
$$x_{11} = 34.0736189975448$$
$$x_{12} = 8.2968114248492$$
$$x_{13} = 10.2100833163083$$
$$x_{14} = 28.2512003785704$$
$$x_{15} = 36.2752279039579$$
$$x_{16} = -79.0955293045537$$
$$x_{17} = -49.5845773073551$$
$$x_{18} = -13.8365414658988$$
$$x_{19} = 98.3216485037071$$
$$x_{20} = 74.0179698096328$$
$$x_{21} = -32.2383656106496$$
$$x_{22} = -21.7921525731502$$
$$x_{23} = -64.3476455003615$$
$$x_{24} = -15.7397455053722$$
$$x_{25} = 14.1289257644055$$
$$x_{26} = -1.74941276993431$$
$$x_{27} = -53.5600413066043$$
$$x_{28} = 69.4102180268385$$
$$x_{29} = 42.0642253887896$$
$$x_{30} = -55.959530520481$$
$$x_{31} = 29.9673021057691$$
$$x_{32} = -38.7351182286188$$
$$x_{33} = 58.3392590391614$$
$$x_{34} = 52.0214382998985$$
$$x_{35} = 84.5800990049548$$
$$x_{36} = -39.7638872129735$$
$$x_{37} = 95.9956910604597$$
$$x_{38} = -10.0250108539974$$
$$x_{39} = 59.1421404288583$$
$$x_{40} = 80.2060667634553$$
$$x_{41} = -19.7648336257452$$
$$x_{42} = 4.02755666065725$$
$$x_{43} = -66.2626484127125$$
$$x_{44} = -39.7201276567449$$
$$x_{45} = -35.8512254823998$$
$$x_{46} = 92.2354872027367$$
$$x_{47} = -74.3590939179168$$
$$x_{48} = -7.74190071134124$$
$$x_{49} = 48.4090960189642$$
$$x_{50} = 2.28463469115738$$
$$x_{51} = 62.1071869927831$$
$$x_{52} = 68.1394417321101$$
$$x_{53} = 24.3060225589568$$
$$x_{54} = 79.5036201706066$$
$$x_{55} = -95.9477581380849$$
$$x_{56} = 94.4359112909735$$
$$x_{57} = -74.1899617033973$$
$$x_{58} = -3.50483938659206$$
$$x_{59} = 12.2441189337843$$
$$x_{60} = 5.97196838828103$$
$$x_{61} = -75.8476378307427$$
$$x_{62} = -51.8205709534001$$
$$x_{63} = -11.8651525983693$$
$$x_{64} = 22.2754972000303$$
$$x_{65} = -91.9490118738006$$
$$x_{66} = 86.2471253997886$$
$$x_{67} = 45.4002126268166$$
$$x_{68} = -71.7527404062393$$
$$x_{69} = -45.4143872976867$$
$$x_{70} = -58.203842925346$$
$$x_{71} = -88.1476133902684$$
$$x_{72} = -17.8083098718863$$
$$x_{73} = -85.7278240618925$$
$$x_{74} = 32.1535978473001$$
$$x_{75} = -69.3779049652637$$
$$x_{76} = 49.9859887603547$$
$$x_{77} = 38.110270507257$$
$$x_{78} = -82.5233382353162$$
$$x_{79} = -99.8705368729717$$
$$x_{80} = 89.9538076502397$$
$$x_{81} = 56.6807467682476$$
$$x_{82} = 44.2377330376607$$
$$x_{83} = 70.8828901912564$$
$$x_{84} = 19.7731175568073$$
$$x_{85} = 100.231252520829$$
$$x_{86} = -34.253430842836$$
$$x_{87} = -1.90605436779673$$
$$x_{88} = 66.0704775425801$$
$$x_{89} = -23.7508740369822$$
$$x_{90} = -89.8316549869289$$
$$x_{91} = -25.8129027136937$$
$$x_{92} = 18.2468048193849$$
$$x_{93} = -47.8159800718115$$
$$x_{94} = 88.2469772083323$$
$$x_{95} = -29.6840816155032$$
$$x_{96} = 16.1479293411635$$
$$x_{97} = 64.2359422413301$$
$$x_{98} = -60.9787187763012$$