# What is the domain and range of #f(x) = -7(x - 2)^2 - 9#?

##### 1 Answer

May 5, 2018

See below.

#### Explanation:

This is a polynomial, so its domain is all

This can be expressed in set notation as:

To find the range:

We notice that the function is in the form:

Where:

Because

This means

Next we see what happens as

as

as

So we can see that the range is:

The graph confirms this:

graph{-7x^2+28x-37 [-1, 3, -16.88, -1]}