Answer
(a) $-\frac{10}{3}$
(b) $-\frac{2}{3}$
Work Step by Step
We are given: $g(x)=2-\frac{2}{3}x$, $x=-3$, $x=2$
(a) We calculate the net change:
$g(2)-g(-3)=[2-\displaystyle \frac{2}{3}*2]-[2-\frac{2}{3}*-3]=\frac{2}{3}-4=-\frac{10}{3}$
(b) We calculate the average rate of change:
$\displaystyle \frac{g(2)-g(-3)}{2--3}=\frac{-\frac{10}{3}}{5}=-\frac{10}{3*5}=-\frac{2}{3}$
