Question

graph of parabola going through 2, negative 3 and 3, negative 1. What is the average rate of change from x = 2 to x = 3?

Answer 1

The average rate of change over an interval can be found with the following formula:


`(y_2 - y_1)/(x_2 - x_1)`

The parabola goes through (2, -3) and (3, -1). We want to find the average rate of change over the interval [2,3]. Plug these values into the formula:


`(-1 - (-3))/(3-2) = (2)/(1) = 2`

The average rate of change will be 2.