El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$- 2 e^{x} + e^{2 x} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \log{\left(2 \right)}$$
Solución numérica$$x_{1} = -36.8720031855431$$
$$x_{2} = -100.872003083$$
$$x_{3} = -108.872003083$$
$$x_{4} = -68.8720030830002$$
$$x_{5} = -46.8720030830048$$
$$x_{6} = -50.8720030830003$$
$$x_{7} = -116.872003083$$
$$x_{8} = -60.8720030830002$$
$$x_{9} = -106.872003083$$
$$x_{10} = -110.872003083$$
$$x_{11} = -118.872003083$$
$$x_{12} = -82.8720030830002$$
$$x_{13} = -66.8720030830002$$
$$x_{14} = 0.693147180559945$$
$$x_{15} = -72.8720030830002$$
$$x_{16} = -44.8720030830346$$
$$x_{17} = -92.8720030830002$$
$$x_{18} = -90.8720030830002$$
$$x_{19} = -30.8720444528401$$
$$x_{20} = -114.872003083$$
$$x_{21} = -42.8720030832544$$
$$x_{22} = -38.8720030968779$$
$$x_{23} = -48.8720030830008$$
$$x_{24} = -58.8720030830002$$
$$x_{25} = -80.8720030830002$$
$$x_{26} = -70.8720030830002$$
$$x_{27} = -102.872003083$$
$$x_{28} = -56.8720030830002$$
$$x_{29} = -78.8720030830002$$
$$x_{30} = -86.8720030830002$$
$$x_{31} = -32.8720086816725$$
$$x_{32} = -74.8720030830002$$
$$x_{33} = -40.8720030848783$$
$$x_{34} = -34.8720038406958$$
$$x_{35} = -96.8720030830002$$
$$x_{36} = -64.8720030830002$$
$$x_{37} = -62.8720030830002$$
$$x_{38} = -104.872003083$$
$$x_{39} = -84.8720030830002$$
$$x_{40} = -88.8720030830002$$
$$x_{41} = -98.8720030830002$$
$$x_{42} = -28.872308818196$$
$$x_{43} = -54.8720030830002$$
$$x_{44} = -94.8720030830002$$
$$x_{45} = -120.872003083$$
$$x_{46} = -52.8720030830002$$
$$x_{47} = -76.8720030830002$$
$$x_{48} = -112.872003083$$