Respuesta :

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

Answer:

average rate of change = 1

step-by-step explanation:

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

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the graph ,

when x=2 , f(2)= 2

When x= 6, f(6)= 6

Average rate of change = [tex]\frac{f(6)-f(2)}{6-2}[/tex]

Plug in the values

Average rate of change = [tex]\frac{6-2}{6-2}=1[/tex]