Question

The graph of a function shown below. Use the graph of the function to find its average rate of change from x=to x = 4; x = 8

Answer 1

Recall that the average rate of change between a and b is given by the following formula:

`(f(a)-f(b))/(a-b)\text{.}`

From the graph we get:

`\begin{gathered} f(4)=-1, \\ f(8)=-9. \end{gathered}`

Therefore, the average rate of change from x=4 to x=8 is:

`(f(4)-f(8))/(4-8)=\frac{-1-(-9_{})}{-4}=(-1+9)/(-4)=(8)/(-4)=-2.`

Answer: -2.