Question

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

7
14
16
28

Answer 1

the answer to you question I think is 7

Answer 2

Option 1.

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=(f(b)-f(a))/(b-a)`

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

`m=(f(3)-f(1))/(3-1)`

`m=(16-2)/(2)`

`m=(14)/(2)`

`m=7`

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