Question

Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.

x f(x)
-3 0
-2 3
-1 4
0 3
1 0​

Answer 1

We conclude that:

The average rate = -1

Explanation:

We need to find the Average Rate of Change from x = -2 to x = 1.

From the table it is clear that:

at x₁ = -2, f(x₁) = 3

at x₂ = 1, f(x₂) = 0

The formula to determine the average rate of change from x = -2 to x = 1.

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

= [0 - 3] / [1-(-2)]

= -3 / 3

= -1

Therefore, we conclude that:

The average rate = -1