Question

The graph of a function g is shown below. Use the graph of the function to find its average rate of change from x = 7 to x = 9 . Simplify your answer as much as possible.

Answer 1

The formula for average rate of change is given as

`A=(f(b)-f(a))/(b-a)`

The given interval is x=7 to x=9

Hence the average rate of change becomes

`A=(f(9)-f(7))/(9-7)`

From the graph,

When x =7, f(7)=-7

When x=9, f(9)= -1

The average rate of change is

`A=(-1-(-7))/(9-7)`

Solve for A

`\begin{gathered} A=(-1+7)/(2) \\ A=(6)/(2) \\ A=3 \end{gathered}`

Therefore the average rate of change is 3