El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{e^{2 \left(x + 2\right)}}{2} \left(x + 2\right) = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = -2$$
Solución numérica$$x_{1} = -36.5528319076254$$
$$x_{2} = -80.4387803330419$$
$$x_{3} = -74.4453678375428$$
$$x_{4} = -100.423021229498$$
$$x_{5} = -76.443042965628$$
$$x_{6} = -96.4256007756744$$
$$x_{7} = -68.4532716391802$$
$$x_{8} = -42.5198064107757$$
$$x_{9} = -34.567273706796$$
$$x_{10} = -48.4967518857691$$
$$x_{11} = -26.6581187031698$$
$$x_{12} = -106.419546152707$$
$$x_{13} = -18.9108476139709$$
$$x_{14} = -88.4315324762772$$
$$x_{15} = -64.4594813057761$$
$$x_{16} = -110.417456216542$$
$$x_{17} = -94.4269803908933$$
$$x_{18} = -90.4299412042358$$
$$x_{19} = -92.4284256014174$$
$$x_{20} = -40.5294259176999$$
$$x_{21} = -66.4562694336153$$
$$x_{22} = -98.4242823853152$$
$$x_{23} = -38.5403401551302$$
$$x_{24} = -46.5036237757639$$
$$x_{25} = -70.4504671725702$$
$$x_{26} = -28.628369572651$$
$$x_{27} = -44.5112629711588$$
$$x_{28} = -102.421813657552$$
$$x_{29} = -2$$
$$x_{30} = -78.4408508191288$$
$$x_{31} = -58.4706589232168$$
$$x_{32} = -30.6042039159275$$
$$x_{33} = -52.4848882937228$$
$$x_{34} = -60.4666463153532$$
$$x_{35} = -62.4629310925067$$
$$x_{36} = -17.0740840979127$$
$$x_{37} = -56.4750062227357$$
$$x_{38} = -82.4368216405647$$
$$x_{39} = -84.434965914994$$
$$x_{40} = -32.5841669729212$$
$$x_{41} = -72.4478378859715$$
$$x_{42} = -22.7448218335939$$
$$x_{43} = -50.4905367883253$$
$$x_{44} = -20.8120890441258$$
$$x_{45} = -54.479732054378$$
$$x_{46} = -86.4332052360421$$
$$x_{47} = -108.418480319111$$
$$x_{48} = -24.6957023751319$$
$$x_{49} = -104.420656323043$$