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