Question

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 4≤x≤7?

Answer 1

5

Explanation:

The average rate of change of function f(x) from x = a to x = b is

`(f(b) - f(a))/(b - a)`

The graph shows f(7) = 10, and f(4) = -5.

`(f(7) - f(4))/(7 - 4) =`

`= (10 - (-5))/(7 - 4)`

`= (15)/(3)`

`= 5`