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If AX) = x2 + 2x + 3, what is the average rate of change of AX) over the interval (-4, 6]? OA 51 B. 40 OC. 31 OD 20 OE 4​

User Agam Banga
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1 Answer

4 votes

Answer:

E

Explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is


(f(b)-f(a))/(b-a)

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change =
(51-11)/(6-(-4)) =
(40)/(10) = 4 → E

User Jim Arnold
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