Examine the following graph of the linear function f(x)=2x+1 and the quadratic function g(x)=−1/16(x+3)^2+6. Which statements about the functions are true?

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

A). Over the interval 4≤x≤6, the average rate of change of g(x) is slower than the average rate of change of f(x).

B). Over the interval −8≤x≤−3, the average rate of change of g(x) is slower than the average rate of change of f(x).

C). Over the interval 4≤x≤6, the average rate of change of g(x) is faster than the average rate of change of f(x).

D). Over the interval −3≤x≤2, the average rate of change of g(x) is faster than the average rate of change of f(x).

E). Over the interval −8≤x≤−7, the average rate of change of g(x) is slower than the average rate of change of f(x).

F). Over the interval 0≤x≤3, the average rate of change of g(x) is the same as the average rate of change of f(x).