aileenasnowden2 aileenasnowden2
  • 03-12-2020
  • Mathematics
contestada

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​

Respuesta :

jimrgrant1 jimrgrant1
  • 03-12-2020

Answer:

E

Step-by-step explanation:

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

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

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 = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

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