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

f(1)=4
f(2)=7
f(3)=10
..........................

Answer 2

The rate of change is 7.

Explanation:

Given function,

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

Since, the average rate of change of f(x) from x = 1 to 3,

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

From equation (1),

`m=([2(3)^2-3+1]-[2(1)^2-1+1])/(2)`

`=((18-2)-(2))/(2)`

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

`=(14)/(2)`

`=7`