#### Answer

The absolute maximum is $5$ and the absolute minimum is $2$ over the specified interval

#### Work Step by Step

$f'(x)=\dfrac{3}{4}.$
Since $f'(x)$ is never equal to $0,$ and is defined for all x in the interval, the absolute extrema have to occur at the endpoints of the interval.
$f(0)=2.$
$f(4)=5.$
The absolute maximum is $5$ and the absolute minimum is $2$ over the specified interval .