Question

Which expression below gives the average rate of change of the function g(x) = -x2 - 4x on the interval 6 ≤ x ≤ 8 ?

Answer 1

Answer: -18

Explanation:

Average rate of change is slope: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$.  Need to find the y-coordinates:

g(x) = -x² - 4x

g(6) = -(6)² - 4(6)

      = -36 - 24

      = -60

⇒ (6, -60)

g(8) = -(8)² - 4(8)

      = -64 - 32

      = -96

⇒ (8, -96)

m = $\frac{-96 - (-60)}{8 - 6}$

   = $\frac{-36}{2}$

   = -18

Answer 2

Answer:

Option A

Step-by-step explanation:

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