# How do you find the domain and range of #y = x^2 - 4#?

##### 1 Answer

Domain =

Range =

#### Explanation:

This *quadratic function* does not have a domain restriction, therefore all values of x are possible. Domain can be written as

In order to find the range, you must find the y coordinate of the vertex. There are many ways to do that, but I prefer to start by finding the x value of the vertex before finding y.

Since this function doesn't have a

Every quadratic function has the shape of a parabola. Since

The range of the function is

Check out the graph of the function. If you have a doubt, you can always try sketching the graph.

graph{x^2-4 [-10, 10, -5, 5]}