Answer
See graph, local maximum $f(2.16)=3.25$, local minimum $f(-1.16)=-4.05$,
increasing on $(-1.16,2.16)$, decreasing on $(-4,-1.16),(2.16,5)$.
Work Step by Step
Step 1. See graph for $f(x)=-0.4x^3+0.6x^2+3x-2$,
Step 2. We can find a local maximum $f(2.16)=3.25$, a local minimum $f(-1.16)=-4.05$,
Step 3. the function is increasing on $(-1.16,2.16)$, decreasing on $(-4,-1.16),(2.16,5)$.
