Question

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

Answer 1

Answer:

The answer is $1$

Step-by-step explanation:

we know that

For $x=2$

the value of $f(2)=2$ -----> see the graph

For $x=6$

the value of $f(6)=6$ -----> see the graph

The average rate of change using the graph is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$f(a)=f(2)=2$

$f(b)=f(6)=6$

$a=2$

$b=6$

Substitute the values

$\frac{6-2}{6-2}$

$\frac{4}{4}=1$

Answer 2

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