Respuesta :

The average rate of change is 4x

Answer:

The average rate of change from x = 0 to x = 1 is 4.

Step-by-step explanation:

From the given graph it is noticed that the value of the function f(x) is -1 at x=0 and the value of the function is 3 at x=1.

[tex]f(0)=-1[/tex]

[tex]f(1)=3[/tex]

The average rate of change of a function from x₁ and x₂ is

[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

[tex]m=\frac{f(1)-f(0)}{1-0}[/tex]

[tex]m=\frac{3-(-1)}{1}=4[/tex]

Therefore the average rate of change from x = 0 to x = 1 is 4.