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

Option A

Step-by-step explanation:

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Answer 2

Answer: -18

Step-by-step explanation:

Average rate of change is slope:
`(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 =
`(-96 - (-60))/(8 - 6)`

=
`(-36)/(2)`

= -18