Answer
See graph, maximum $f(-0.91)\approx4.04$, minimum $f(0.91)\approx-2.04$ .
increasing on $(-3,-0.91), (0.91,3)$, decreasing on $(-0.91,0.91)$.
Work Step by Step
Step 1. See graph for $f(x)=2x^3-5x+1$ on $(-3,3)$
Step 2. We can find a local maximum $f(-0.91)\approx4.04$, a local minimum $f(0.91)\approx-2.04$ .
Step 3. The function is increasing on $(-3,-0.91), (0.91,3)$, decreasing on $(-0.91,0.91)$.
