Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change =
=
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change =
=
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change =
=
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change =
=
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]