Question

PLEASE HELP ASAP

Use the graph below for this question


What is the average rate of change from x = 0 to x = 2?

-4
-8
1
5

Answer 1

The average rate will be: -4

Hence, option A is correct.

Explanation:

Given the interval

0 ≤ x ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2, f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [-5 - 3] / [2-0]

= -8 / 2

= - 4

Therefore, the average rate will be: -4

Hence, option A is correct.