Find the average rate of change of a function that contains the points (-2, 3) and (2, 5).

Solution:

Given, the points are (-2, 3) and (2,5)

We have to find the average rate of change of a function.

The average rate of change of a function is the same as the slope of the line that passes through these points.

The slope of the line passing through two points is given by

\(m=\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}\)

Here, (x₁, y₁) = (-2, 3) and (x₂, y₂) = (2, 5)

Slope = \(\frac{5-3}{2-(-2)}\)

m = \(\frac{2}{2+2}\)

m = \(\frac{2}{4}\)

m = 1/2

Therefore, the average rate of change is 1/2.

Find the average rate of change of a function that contains the points (-2, 3) and (2, 5).

Summary:

The average rate of change of a function that contains the points (-2,3) and (2,5) is 1/2.