Question

What is the rate of change from x = n to x = 2n?​

Answer 1

`(-8)/(\pi)`

Explanation:

The rate of change of the function f(x) from point
`x_1` to point
`x_2` can be calculated using formula

`(f(x_2)-f(x_1))/(x_2-x_1)`

Given

`x_1=\pi\\ \\x_2=2\pi`

From the graph of the function

`f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4`

So, the rate of change is

`(f(x_2)-f(x_1))/(x_2-x_1)=(-4-4)/(2\pi -\pi)=(-8)/(\pi)`