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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

The graph of a function F is shown below Use the graph of the function to find its average rate of the change from X4 to X8Simplify your answer as much as possi class=

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The Solution:

Given:

Required:

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

The formula for the rate of change is:

[tex]Rate\text{ of change}=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

In this case:

[tex]\begin{gathered} (x_1=4,y_1=-1) \\ \\ (x_2=8,y_2=-9) \end{gathered}[/tex]

Substitute:

[tex]Rate\text{ of change}=\frac{-9--1}{8-4}=\frac{-8}{4}=-2[/tex]

Answer:

Rate of change = -2

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