Question

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

Answer 1

In average, when x increases by 1, f(x) also increases by the same value of 1 between x=2 and x=6 :)

Answer 2

average rate of change = 1

Explanation:

calculate the average rate of change for f(x) from x = 2 to x = 6

Average rate of change =
`(f(b)-f(a))/(b-a)`

From the graph ,

when x=2 , f(2)= 2

When x= 6, f(6)= 6

Average rate of change =
`(f(6)-f(2))/(6-2)`

Plug in the values

Average rate of change =
`(6-2)/(6-2)=1`