# What is the domain and range of #f(x) = sqrt((x^2) - 3)#?

##### 1 Answer

Domain:

Range:

#### Explanation:

I'm going to assume for this question that we are staying within the realm of Real Numbers (and so things like

The **Domain** of an equation is the list of all allowable

Let's look at our equation:

Ok - we know that square roots can't have negative numbers in them, so what will make our square root term negative?

Ok - so we know that we can't have

The **Range** is the list of resulting values coming from the domain.

We already know that the smallest number the range will be is 0. As

We can see this in the graph:

graph{sqrt(x^2-3) [-10,10,-2,7]}