Answer
absolute maximum $f(1)=4$, absolute minimum $f(5)=1$.
local maximum $f(3)=3$, the local minimum $f(2)=2$.
Work Step by Step
Step 1. Based on the given graph, we can find the absolute maximum $f(1)=4$ and the absolute minimum $f(5)=1$.
Step 2. Based on the given graph, we can find the local maximum $f(3)=3$ and the local minimum $f(2)=2$.