Consider the function $f(x) = x^{2}e^{5 x}$.

$f(x)$ has two inflection values at x = C and x = D with $C \leq D$
where $C$ is
and $D$ is
Finally for each of the following intervals, tell whether $f(x)$ is concave up (type in CU) or concave down (type in CD).
$(-\infty, C]$:
$[C, D]$:
$[D,\infty)$