# How do you find the domain and range of #sqrt(x-8)#?

##### 1 Answer

Jun 29, 2017

Domain of

Range of

#### Explanation:

The square root is real only when the radicand is positive, or at least equal to zero. So the domain is going to be whenever

Using interval notation, we say the domain of

The range is all the the

and goes up to infinity. Using interval notation the range of

You can also see this by inspection in the graph

graph{sqrt(x-8)[-1,17,-2,5]}