Answer
(a). $f'(x) = 2x$, which is zero for $x = 0$.
(b). We have that $f(−2) = −6$, $f(0) = −10$, and
$f(3) = −1$, so the maximum value of $f$ on this
interval is $−1$ and the minimum is $−10$.
Work Step by Step
See the graph for explanation.