Web Analytics

Verified Answer :

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 \(1\)

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

\(\frac{6-2}{6-2}\)

\(\frac{4}{4}=1\)