Answer
absolute maximum $f(4)=4$, absolute minimum $f(5)=0$.
local maximum $f(4)=4$, local minimum $f(1)=1$.
Work Step by Step
Step 1. Based on the given graph, we can find the absolute maximum $f(4)=4$, the absolute minimum $f(5)=0$.
Step 2. Based on the given graph, we can find the local maximum $f(4)=4$, the local minimum $f(1)=1$.
Note that point $(0,2)$ does not give the absolute maximum as it is not the highest point over the entire region.
