Answer
See graph, local maximum $f(-0.77)=0.19$, local minimum $f(0.77)=-0.19$,
increasing on $(-2,-0.77), (0.77,2)$, decreasing on $(-0.77,0.77)$.
Work Step by Step
Step 1. See graph for $f(x)=x^5-x^3$,
Step 2. We can find a local maximum $f(-0.77)=0.19$, a local minimum $f(0.77)=-0.19$,
Step 3. the function is increasing on $(-2,-0.77), (0.77,2)$, decreasing on $(-0.77,0.77)$.
