Examine the following graph of the quadratic function f(x)=−18(x+1)2+8 and the linear function, g(x)=−67x−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. 4≤x≤9
C. 1≤x≤8
D. −4≤x≤7
E. −9≤x≤2
F. 2≤x≤6