Question

What is the rate of change over the interval [-1,2] for f(x)= 4x +1

Answer 1

4

Explanation:

To find the average rate of change, we have to plug in the difference between the intervals with this equation: f(b) - (fa) / x₂ - x₁

Let f(a) = f(-1) = 4(-1) + 1

f(b) = f(2) = 4(2) + 1

x₂ = 2

x₁ = -1

[4(2) + 1 - (4(-1) + 1)] / [2 - (-1)]

[8 + 1 + 4 - 1] / [3]

12 / 3 = 4