Answer
See graph, maximum $f(-1.29)=5.30$, minimum $f(1.29)=-3.30$.
increasing on $(-4,-1.29),(1.29,4)$, decreasing on $(-1.29,1.29)$.
Work Step by Step
Step 1. See graph for $f(x)=x^3-5x+1$ on $(-4,4)$.
Step 2. We can identify a local maximum $f(-1.29)=5.30$, a local minimum $f(1.29)=-3.30$.
Step 3. We can see that the function is increasing on $(-4,-1.29),(1.29,4)$, decreasing on $(-1.29,1.29)$.
