Answer
(a) maximum: $(0,2)$, minimums: $(-2,-1)$ and $(2,0)$
(b) increasing: $(-2,0)$ and $(2,\infty)$
decreasing: $(-\infty,-2)$ and $(0,2)$
Work Step by Step
(a) We see from the graph that the function has a local maximum (a peak) at $(0,2)$ and local minimums (troughs) at $(-2,-1)$ and $(2,0)$.
(b) We see from the graph that the function is increasing for $x$ intervals $(-2,0)$ and $(2,\infty)$ and decreasing for $x$ intervals $(-\infty,-2)$ and $(0,2)$.
