Question

PLEASE HELP!!!

Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?

Answer 1

see photo

Explanation:

Plato/Edmentum

Answer 2

D.

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 =
`(m(b) - m(a))/(b - a)`

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change =
`(4 - (-12))/(2 - (-2))`

=
`(16)/(4)`

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change =
`(n(b) - n(a))/(b - a)`

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change =
`(6 - (-6))/(2 - (-2))`

=
`(12)/(4)`

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change =
`(q(b) - q(a))/(b - a)`

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change =
`(-12 - (-4))/(2 - (-2))`

=
`(-8)/(4)`

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change =
`(p(b) - p(a))/(b - a)`

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change =
`(-4 - 12)/(2 - (-2))`

=
`(-16)/(4)`

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]