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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
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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
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Mathematics
4 years
2021-08-26T20:40:39+00:00
2021-08-26T20:40:39+00:00 1 Answers
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Answers ( )
Answer:
E
Step-by-step explanation:
The average rate of change of A(x) in the closed interval [ a, b ] is
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 =
=
= 4 → E