Answer
(a) 3
(b) 3
Work Step by Step
We are given: $f(x)=3x-2$, $x=2,x=3$
(a) We calculate the net change:
$f(3)-f(2)=[3*3-2]-[3*2-2]=7-4=3$
(b) We calculate the average rate of change:
$\displaystyle \frac{f(3)-f(2)}{3-2}=\frac{3}{1}=3$