# How do you determine the domain and range of a function?

##### 1 Answer

See below

#### Explanation:

I will assume

Then, the domain of

Then the range of

To determine the domain and range of a function, first determine the set of values for which the function is defined and then determine the set of values which result from these.

E.g.

Hence, the domain of

Also,

Hence, the range of

We can deduce these results from the graph of

graph{sqrtx [-4.18, 21.13, -6.51, 6.15]}