# How do you find the domain and range of #sqrt{-x - 2}#?

##### 1 Answer

Domain:

Range:

#### Explanation:

**Finding the domain**

The domain is wherever the function is defined with real numbers. We see that this function is not defined when the bit inside the square root is negative, so let's solve for when that happens:

Multiply both sides by

So, our function is not defined when

**Finding the Range**

The square root function has values ranging from

Our function's range is the same as the square root function, since the bit inside the square root is still continuous, so the domain of our function is also the positive real numbers and