# How do I find the average rate of change of a function like #f(x) = 4x#?

##### 1 Answer

Usually we would need an interval to find the average rate of change. This is a linear function with a constant rate of change or slope so the slope and the average rate of change are the same value. Because of this reason a linear function does not need an interval.

This function is in slope intercept form,

We see that the slope is

Just for example sake lets find the average rate of change with an interval of

Average rate of change

In this example:

Average rate of change