Question

Which expression below gives the average rate of change of the function h(x) = 4x+2 +7 on the interval -3 ≤ x ≤ 5?

A. (43+2+7)-(45+2+7)
-3+5

B. (45*2 + 7)-(4+2+7)
5-3

C. (45+2+7)-(43+2+7)
5+3

D. (45+²+7)+(42+7)
5+3

Answer 1

C. (45+2+7)-(43+2+7) / 5+3

Explanation:

To find the average rate of change of h(x) on the interval -3 ≤ x ≤ 5, we need to evaluate the following expression:

[h(5) - h(-3)] / (5 - (-3))

We have:

h(5) = 4(5) + 2 + 7 = 29

h(-3) = 4(-3) + 2 + 7 = -5

Substituting into the formula, we get:

[29 - (-5)] / (5 - (-3)) = 34 / 8 = 17 / 4

Therefore, the expression that gives the average rate of change of the function h(x) on the interval -3 ≤ x ≤ 5 is:

C. (45+2+7)-(43+2+7) / 5+3