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Let f(x)=x2−4. What is the average rate of change of f(x) from −5 to −2 ?

A. -1/7

B. 1/7

C. -7

D. 7

User Gillyb
by
7.5k points

1 Answer

2 votes

Answer:

Explanation:

To find the average rate of change of the function f(x) from -5 to -2, we need to calculate:

(f(-2) - f(-5))/(-2 - (-5))

First, let's find f(-2) and f(-5):

f(-2) = (-2)^2 - 4 = 0

f(-5) = (-5)^2 - 4 = 21

Substituting these values in the above formula, we get:

(0 - 21)/(-2 + 5) = -21/3 = -7

Therefore, the average rate of change of f(x) from -5 to -2 is -7.

So the answer is (C) -7.

User Joshua Beckers
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