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Maksim231197 [3]
1 year ago
15

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

Mathematics
1 answer:
kolbaska11 [484]1 year ago
8 0

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

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = \frac{m(b)-m(a)}{b-a}

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

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = \frac{n(b)-n(a)}{b-a}

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

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = \frac{q(b)-q(a)}{b-a}

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

b = 2, q(b) = -12

Plug the values into the

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

= \frac{-16}{4}

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = \frac{p(b)-p(a)}{b-a}

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

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

=\frac{-16}{4}

The average rate of change = -4

The answer is D.

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

To learn more about the average rate of visit:

brainly.com/question/8728504

#SPJ1

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