# How do you find the domain and range of #f(x) = -sqrt(x+3)#?

##### 1 Answer

Domain:

Range:

#### Explanation:

The domain of the function will be determined by the fact that, for rational numbers, you cannot take the square root of a **negative number**.

In other words, the expression that's under the square root must always be **positive** for real numbers. This means that

The domain of the function will thus be any values of

The range of the function will be affected by the fact that the square root of *any positive real number* is always **positive**.

The minimum value the function can have will depend on the minimum value that

For *any* other value of

graph{-sqrt(x+3) [-10, 10, -5, 5]}