Answer
See graph.
local maximum $f(1.15)=1.08$
local minimum $f(-1.15)=-5.08$
increasing $(-1.15,1.15)$
decreasing $(-3,-1.15)U(1.15,3)$
Work Step by Step
Step 1. See graph for $f(x)=-x^3+4x-2$
Step 2. We can identify a local maximum as $f(1.15)=1.08$
Step 3. We can identify a local minimum as $f(-1.15)=-5.08$
Step 4. We can identify increasing interval(s) $(-1.15,1.15)$
Step 5. We can identify decreasing interval(s) $(-3,-1.15)U(1.15,3)$
