Answer
See graph, local maximum $f(0)=3$, local minima $f(-1.87)=0.95$ and $f(0.97)=2.65$,
increasing on $(-1.87,0),(0.97,2)$, decreasing on $(-3,-1.87),(0,0.97)$.
Work Step by Step
Step 1. See graph for $f(x)=0.25x^4+0.3x^3-0.9x^2+3$ on $(-3,2)$,
Step 2. We can find a local maximum $f(0)=3$, local minima $f(-1.87)=0.95$ and $f(0.97)=2.65$,
Step 3. the function is increasing on $(-1.87,0),(0.97,2)$, decreasing on $(-3,-1.87),(0,0.97)$.