Find the average rate of change for the function, y=x^2+9x, over the interval between x=3 and x=7. Show all work.

The rate of change for the given function between x=3 and x=7 is 19

Step-by-step explanation:

Given function is:

Can also be written as:

The rate of change of a function is given by the formula:

In the given question,

We have to find rate of change between 3 and 7

Here

b = 7 and a = 3

WE have to find f(7) and f(3) first

So,

Putting the values in the formula

Hence,

The rate of change for the given function between x=3 and x=7 is 19