# How do you find the domain and range of #sqrt(x^2-5x-14)#?

##### 1 Answer

#### Explanation:

Domain is the possible values for

The domain for the *parent function* ,

graph{y=sqrtx}

Notice how *unreal number* (

Long story short, we can't take the square rot of a negative number, so we stop at

Let's factor the quadratic and see the roots for

We need to find *multiply* to *add* to

.........................

So, now we have

So, the rule with square roots is that the factors must be equal to or larger than

Let's solve for these roots and see what value of

**factor 1**

*factor 2*

Now we know that if

So, our domain is "anything smaller than

To check our work, let's graph the equation:

graph{y=sqrt((x+2)(x-7))}

Yep! We were right.

The graph has no issues until