# Question #35861

##### 2 Answers

#### Explanation:

The Average rate function is the straight line drawn between the points at each end of the interval.

So first we need to find our points,

giving us

giving us

So the gradient is equal to

rise

rise

run

run

So

This is our average rate of change between the two points.

to find the function we use,

And subbing in one of our points,

leaving us with the average rate function between

Average rate of change

#### Explanation:

Given

Average rate of change

To find the equation :

Equation is