Answer
See graph, local maximum $f(-1)=4$, local minimum $f(1)=0$,
increasing on $(-2,-1), (1,2)$, decreasing on $(-1,1)$.
Work Step by Step
Step 1. See graph for $f(x)=x^3-3x+2$,
Step 2. We can find a local maximum $f(-1)=4$, a local minimum $f(1)=0$,
Step 3. the function is increasing on $(-2,-1), (1,2)$, decreasing on $(-1,1)$.