Question

Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?

Answer 1

A.

Explanation:

Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)

[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =
`([-8^(2)-4(8)]-[-6^(2)-4(6)])/(8-6)`

Answer 2

1st Option

Explanation:

Average rate of change formula:
`(f(a) - f(b))/(a-b)`

Simply plug in 8 as a and 6 as b.