Question

Given the function, f(x) = 2x2 - x + 1, calculate the average rate of change of the function from x = 1 to x = 3.

Answer 1

The answer to you question I think is 7

Answer 2

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.