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?

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



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:



The average rate of change will be 2.