Please help me on this math question

Question

Examine the following graph of the quadratic function f(x)=−1/8(x+1)^2+8 and the linear function, g(x)=−6/7x−6.



For which of the following intervals is the average rate of change of f(x) faster than the average rate of change of g(x)

There is more than one correct answer. Select all correct answers.

A. −1≤x≤3

B. −9≤x≤2

C. −4≤x≤7

D. 2≤x≤6

E. 4≤x≤9

F. 1≤x≤8

Answer 1

The graph looks like the graph below except that I have included dots on the graph for the endpoints of the first two intervals:

The black dots are the interval -1 ≤ x ≤ 3 Can you see that the rate of change on f(x) is a less negative number than the rate of change on g(x)? That means f(x) has a "faster" rate of change than g(x) on that interval.

The grey dots are the interval -9 ≤ x ≤ 2 Can you see that the rate of change on f(x) is a positive number while the rate of change on g(x) is negative? That means f(x) has a "faster" rate of change than g(x) on that interval.

Repeat this on each interval.