Answer
There is no absolute maximum.
The absolute minimum is $f(3) = -2$
There is no local minimum.
There is no local maximum.
Work Step by Step
$f(x) = 2x+1~~~~~$ if $0 \leq x \lt 1$
$f(x) = 4-2x~~~~~$ if $1 \leq x \leq 3$
There is no absolute maximum.
The absolute minimum is $f(3) = -2$
There is no local minimum.
There is no local maximum.