El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$3^{x} x^{2} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = -113.330349581716$$
$$x_{2} = -99.3859422950412$$
$$x_{3} = -53.8396591408425$$
$$x_{4} = -63.6703863966348$$
$$x_{5} = -115.32364529498$$
$$x_{6} = -87.4501960469759$$
$$x_{7} = -77.5219953854349$$
$$x_{8} = -73.557366599389$$
$$x_{9} = -75.5391142023907$$
$$x_{10} = -117.317197114385$$
$$x_{11} = -51.884200202115$$
$$x_{12} = -85.4629712581349$$
$$x_{13} = -61.6986115803903$$
$$x_{14} = -91.4265975297591$$
$$x_{15} = -81.4907593639105$$
$$x_{16} = -79.5059073386152$$
$$x_{17} = -67.620182513824$$
$$x_{18} = -32.8945722643675$$
$$x_{19} = -40.2971298079065$$
$$x_{20} = -107.352161609531$$
$$x_{21} = -101.376925506806$$
$$x_{22} = -95.4052854920259$$
$$x_{23} = -69.5977570035171$$
$$x_{24} = -34.6971036509175$$
$$x_{25} = -55.7993652537019$$
$$x_{26} = -42.2032679568885$$
$$x_{27} = -53.4753040906639$$
$$x_{28} = -111.337325566843$$
$$x_{29} = -83.4764711364858$$
$$x_{30} = -57.7627334343276$$
$$x_{31} = -119.310990620031$$
$$x_{32} = -36.538185050625$$
$$x_{33} = -44.1221963968173$$
$$x_{34} = -49.9337070593334$$
$$x_{35} = -59.7292822062292$$
$$x_{36} = -97.3953852826498$$
$$x_{37} = -89.4380885194447$$
$$x_{38} = -65.6443236172009$$
$$x_{39} = 0$$
$$x_{40} = -47.9890728855298$$
$$x_{41} = -103.368306645488$$
$$x_{42} = -105.360059889884$$
$$x_{43} = -71.5768696006696$$
$$x_{44} = -109.344590136789$$
$$x_{45} = -93.4156770390743$$
$$x_{46} = -46.051422857271$$
$$x_{47} = -38.4071786790225$$