Question

The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 5≤ x ≤3?

Answer 1

Given data:

The given graph.

The limits of x are - 5≤ x ≤3.

The expression for average rate of change is,

`\begin{gathered} r=(f(3)-f(-5))/(3-(-5)) \\ =(f(3)-f(-5))/(8) \end{gathered}`

Substitute the given values in the above expression.

`\begin{gathered} r=(12-(-4))/(8) \\ =(16)/(8) \\ =2 \end{gathered}`

Thus, the average rate of change is 2.