Question

Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6.

x = −4

x = −1

x = 1

x = 4

Answer 1

the average rate of change for f(x) from x = 2 to x = 6 = [f(6) - f(2)]/(6 - 2)
f(6) = 6
f(2) = 2

the average rate of change for f(x) from x = 2 to x = 6 = (6 - 2)/(6 - 2) = 4/4 = 1

Answer 2

The answer is
`1`

Explanation:

we know that

For
`x=2`

the value of
`f(2)=2` -----> see the graph

For
`x=6`

the value of
`f(6)=6` -----> see the graph

The average rate of change using the graph is equal to

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

In this problem we have

`f(a)=f(2)=2`

`f(b)=f(6)=6`

`a=2`

`b=6`

Substitute the values

`(6-2)/(6-2)`

`(4)/(4)=1`