Question

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

Answer 1

Answer:

We conclude that:

The average rate = -1

Step-by-step 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