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

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]