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

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]

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.