Question

Select the correct answer. What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]? A. 2 B. 3 C. 5 D. 6

Answer 1

C

Explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

Here [ a, b ] = [- 1, 1 ] , thus

f(b) = f(1) = 5 ← from graph

f(a) = f(- 1) = - 5 ← from graph , thus

average rate of change =
`(5-(-5))/(1-(-1))` =
`(10)/(2)` = 5 → C