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:

$\frac{y_2 - y_1}{x_2 - x_1}$

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:

$\frac{-1 - (-3)}{3-2} = \frac{2}{1} = 2$

The average rate of change will be 2.