Question

Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2.

Answer 1

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

`A(x) = (f(2) - f(0))/(2 - 0)`

`A(x) = (6 - (-2))/(2)`

`A(x) = (6 + 2)/(2)`

`A(x) = (8)/(2)`

`A(x) = 4`

Answer 2

we know that

Using the graph

For
`x=0` ----->
`f(0)=-2`

For
`x=2` ----->
`f(2)=6`

the average rate of change is equal to

`(f(2)-f(0))/(2-0) =(6-(-2))/(2)=4`

therefore

the answer is

the average rate of change is
`4`