Respuesta :

Answer:

Average rate of change = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

We have to calculate the average rate of change of the graph at x = 2 to x = 5.

From the graph attached,

At x = 2,

f(2) = 3

At x = 5,

f(5) = 7

Since, average rate of change of the function between x = a and x = b is defined by,

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

Therefore, average rate of change of the function represented by the graph will be = [tex]\frac{7-3}{5-2}[/tex]

           = [tex]\frac{4}{3}[/tex]