Answer
The absolute maximum is $f(-2) = \frac{8}{3}$
There is no local maximum. There is no absolute or local minimum.
Work Step by Step
$f(x) = 2-\frac{1}{3}x$, $~~x \geq -2$
The slope is $-\frac{1}{3}$
The y-intercept is $2$
The x-intercept is $6$
The absolute maximum is $f(-2) = \frac{8}{3}$
