Verified Answer :

the answer to you question I think is 7

Answer:

Option 1.

Step-by-step explanation:

The given function is

\(f(x)=2x^2-x+1\)

We need to find the average rate of change of the function from x = 1 to x = 3.

At x=1,

\(f(1)=2(1)^2-(1)+1=2\)

At x=3,

\(f(3)=2(3)^2-(3)+1=16\)

The average change of a function f(x)on the interval [a,b] is

\(m=\dfrac{f(b)-f(a)}{b-a}\)

The average rate of change of the function from x = 1 to x = 3 is

\(m=\dfrac{f(3)-f(1)}{3-1}\)

\(m=\dfrac{16-2}{2}\)

\(m=\dfrac{14}{2}\)

\(m=7\)

The average rate of change of the function from x = 1 to x = 3. Therefore the correct option is 1.

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