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Alex_Xolod [135]
3 years ago
13

PLEASE HELP!!!

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

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 = \frac{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 = \frac{4 - (-12)}{2 - (-2)}

= \frac{16}{4}

Average rate of change = 4

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

Average rate of change = \frac{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 = \frac{6 - (-6)}{2 - (-2)}

= \frac{12}{4}

Average rate of change = 3

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

Average rate of change = \frac{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 = \frac{-12 - (-4)}{2 - (-2)}

= \frac{-8}{4}

Average rate of change = -2

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

Average rate of change = \frac{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 = \frac{-4 - 12}{2 - (-2)}

= \frac{-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]

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