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

x = −4

x = −1

x = 1

x = 4

Using the graph below calculate the average rate of change for fx from x 2 to x 6 x 4 x 1 x 1 x 4 class=

Respuesta :

the average rate of change for f(x) from x = 2 to x = 6 = [f(6) - f(2)]/(6 - 2)
f(6) = 6
f(2) = 2

the average rate of change for f(x) from x = 2 to x = 6 = (6 - 2)/(6 - 2) = 4/4 = 1

Answer:

The answer is [tex]1[/tex]

Step-by-step explanation:

we know that

For [tex]x=2[/tex]

the value of [tex]f(2)=2[/tex] -----> see the graph

For [tex]x=6[/tex]

the value of [tex]f(6)=6[/tex] -----> see the graph

The average rate of change using the graph is equal to

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

In this problem we have

[tex]f(a)=f(2)=2[/tex]

[tex]f(b)=f(6)=6[/tex]

[tex]a=2[/tex]

[tex]b=6[/tex]

Substitute the values

[tex]\frac{6-2}{6-2}[/tex]

[tex]\frac{4}{4}=1[/tex]