Question

For the function h(x) = 5 - 2x, calculate its average rate of change over the interval [1,6]. You can find this by calculating Δx/Δy.

Answer 1

The average rate of change for the function h(x) = 5 - 2x over the interval [1,6] is -2.

Step-by-step explanation:

To calculate the average rate of change for the function h(x) = 5 - 2x over the interval [1,6], we can use the formula Δy/Δx, where Δy is the change in the y-values and Δx is the change in the x-values. In this case, the change in the y-values is h(6) - h(1) and the change in the x-values is 6 - 1.

Plugging in the values, we get Δy = (5 - 2(6)) - (5 - 2(1)) = -7 - 3 = -10 and Δx = 6 - 1 = 5. Therefore, the average rate of change is Δy/Δx = -10/5 = -2.