Answer:
average rate of change = - 15
Explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is

for the interval - 4 ≤ x ≤ - 2 , then a = - 4 and b = - 2 , so
f(b) = f(- 2) = - 20 ← point (- 2, - 20 ) on graph
f(a) = f(- 4) = 10 ← point (- 4, 10 ) on graph
average rate of change =
=
=
= - 15