Given:
The graph of the f(x) is given.
Required:
To plot a line segment connecting the points on f where x=-2 and x=8 and to determine the average rate of change of the function f(x) on the interval −2≤x≤8.
Explanation:
The line segment connecting the points on f where x=-2 and x=8 is,
The average rate of change = slope
[tex]=\frac{f(8)-f(-2)}{8-(-2)}[/tex]
From the graph,
[tex]\begin{gathered} f(8)=10 \\ f(-2)=5 \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} =\frac{10-5}{8-(-2)} \\ \\ =\frac{5}{10} \\ \\ =\frac{1}{2} \end{gathered}[/tex]
Final Answer:
Average rate of change is 1/2.
