Question

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 2≤x≤6?

Answer 1

average rate of change = 5

Explanation:

the average rate of change of f(x) in the interval a ≤ x ≤ b is

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

here the interval is 2 ≤ x ≤ 6 , then

f(b) = f(6) = 0 ← point (6, 0 ) on graph

f(a) = f(2) = - 20 ← point (2, - 20 ) on graph , then

average rate of change =
`(0-(-20))/(6-2)` =
`(0+20)/(4)` =
`(20)/(4)` = 5