Answer
The absolute maximum is $4$ and the absolute minimum is $1$ over the specified interval.
Work Step by Step
$f'(x)=-1$
Since $f'(x)$ is never $0,$and is defined for all x in the interval, the maximum and minimum have to occur at the endpoints of the interval:
$f(-1)=4.$
$f(2)=1.$
The absolute maximum is $4$ and the absolute minimum is $1$ over the specified interval.
