Given the function g(x) = x2 + 10x + 19, determine the average rate of change of the function over the interval -9 < x < 1.

The average rate of change of the function over the interval is of 2.

Step-by-step explanation:

Suppose we have a function f(x), over an interval (a,b).

It's average rate of change over the interval is given by:

In this question:

Over the interval -9 < x < 1, so . So

We have that:

So

The average rate of change of the function over the interval is of 2.