Answer
See graph, maxima $f(-0.85)\approx-0.86$, $f(2.35)\approx15.55$, minimum $f(0)=-2$.
increasing on $(-5,-0.85),(0,2.35)$, decreasing on $(-0.85,0),(2.35,5)$.
Work Step by Step
Step 1. See graph for $f(x)=-x^4+2x^3+4x^2-2$ on $(-5,5)$
Step 2. We can identify local maxima $f(-0.85)\approx-0.86$ and $f(2.35)\approx15.55$, a local minimum $f(0)=-2$.
Step 3. From the graph, the function is increasing on $(-5,-0.85),(0,2.35)$, decreasing on $(-0.85,0),(2.35,5)$.
