Respuesta :

Panoyin
[tex]A(x) = \frac{f(x) - f(a)}{x - a}[/tex]
[tex]A(x) = \frac{f(2) - f(0)}{2 - 0}[/tex]
[tex]A(x) = \frac{6 - (-2)}{2}[/tex]
[tex]A(x) = \frac{6 + 2}{2}[/tex]
[tex]A(x) = \frac{8}{2}[/tex]
[tex]A(x) = 4[/tex]
calculista

we know that

Using the graph

For [tex]x=0[/tex] -----> [tex]f(0)=-2[/tex]

For [tex]x=2[/tex] -----> [tex]f(2)=6[/tex]

the average rate of change is equal to

[tex]\frac{f(2)-f(0)}{2-0} =\frac{6-(-2)}{2}=4[/tex]

therefore

the answer is

the average rate of change is [tex]4[/tex]