Consider the function $f(x) = -2 x^3 + 30 x^2 - 96 x + 3$. For this function there are three important intervals: $(-\infty, A]$, $[A,B]$, and $[B,\infty)$ where $A$ and $B$ are the critical points
Find $A$
and $B$
For each of the following intervals, tell whether $f(x)$ is increasing (type in INC) or decreasing (type in DEC).
$(-\infty, A]$:
$[A,B]$:
$[B,\infty)$: