Question

The graph of a function F is shown below. Use the graph of the function to find its average rate of the change from X=4 to X=8Simplify your answer as much as possible

Answer 1

The Solution:

Given:

Required:

Find the rate of change from x = 4 and x = 8.

The formula for the rate of change is:

`Rate\text{ of change}=(f(x_2)-f(x_1))/(x_2-x_1)`

In this case:

`\begin{gathered} (x_1=4,y_1=-1) \\ \\ (x_2=8,y_2=-9) \end{gathered}`

Substitute:

`Rate\text{ of change}=(-9--1)/(8-4)=(-8)/(4)=-2`

Answer:

Rate of change = -2