Respuesta :

we have the function

f(x)=x^3(e^x)

using a graphing tool

graph the function

see the attached figure

we have that

The function is decreasing in the interval

[tex](-\infty,\text{ -3)}[/tex]

The function is increasing in the interval

[tex](-3,\text{ 0})\text{ U (0,}\infty)[/tex]

Ver imagen MarvisS221878