Answer
See graph, maximum $f(0.41)\approx1.53$, minima $f(-0.34)\approx0.54$ and $f(1.80)\approx-3.56$.
increasing on $(-0.34,0.41), (1.80,3)$, decreasing on $(-2,-0.34),(0.41,1.80)$.
Work Step by Step
Step 1. See graph for $f(x)=2x^4-5x^3+2x+1$ on $(-2,3)$
Step 2. We can find a local maximum $f(0.41)\approx1.53$, local minima $f(-0.34)\approx0.54$ and $f(1.80)\approx-3.56$.
Step 3. The function is increasing on $(-0.34,0.41), (1.80,3)$, decreasing on $(-2,-0.34),(0.41,1.80)$.
