Consider the function $f(x) = x^{2}e^{5 x}$.
For this function there are three important intervals: $(-\infty, A]$, $[A,B]$, and $[B,\infty)$ where $A$ and $B$ are the critical numbers.
Find $A$
and $B$
For each of the following intervals, tell whether $f(x)$ is increasing (type in INC) or decreasing (type in DEC).
$(-\infty, A]$:
$[A,B]$:
$[B,\infty)$