Answer
$f$ has
no absolute maximum,
absolute minimum of $0$ at $x=0$,
local maximum $3$ at $x=2$,
local minima:
$0$ at $x=0$ and $2$ at $x=3$ .
Work Step by Step
See image
A local maximum at x=c exists if there is an interval around c such that f(c) is the largest function value on that interval.
A local minimum at x=c exists if there is an interval around c such that f(c) is the lowest function value on that interval.
Absolute maximum, if one exists, is the highest value f(x) can have on its domain.
Absolute minimum, if one exists, is the lowest value f(x) can have on its domain.