Answer:
average rate of change =

Explanation:
the average rate of change of h(x) in the interval a ≤ x ≤ b , is

here the interval is - 2 ≤ x ≤ 2 , then
h(b) = f(2) =
(2)³ - 2² =
(8) - 4 = 1 - 4 = - 3
h(a) = h(- 2) =
(- 2)³ - (- 2)² =
(- 8) - 4 = - 1 - 4 = - 5
then average rate of change
=

=

=

=
