Answer
(a) $4$
(b) $\frac{2}{3}$
Work Step by Step
(a) We calculate the net change between the two points given:
Net change = $f(5)-f(-1)=4-0=4$
(b) We calculate the average rate of change between $(-1,0)$ and $(5,4)$:
Average rate of change = $\frac{4-0}{5--1}=\frac{4}{6}=\frac{2}{3}$