Answer:
Function g(x) has the greater average rate of change over the given interval.
Explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
Given:
Therefore, the average rate of change for the function f(x) over the given interval 4 ≤ x ≤ 8 is:
Work out values of function g(x) for x = 4 and x = 8:
Therefore, the average rate of change for the function g(x) over the given interval 4 ≤ x ≤ 8 is:
Therefore, function g(x) has the greater average rate of change over the interval 4 ≤ x ≤ 8, as 25 > 3.5.