# How do you find the domain and range and determine whether the relation is a function given :#y=x^2#?

##### 1 Answer

See explanation.

#### Explanation:

The domain is the maximum subset of

Any real number raised to the second power gives a non-negative result (0 or a positive real number), so the range is:

To find if a relation is a function we have to check if there are arguments (

graph{(y-x^2)=0 [-10, 10, -5, 5]}

If we have drawn the graph we can check if there is a vertical line crossing the graph in more than one point.

If such point existed, the relation would not be a function. (There would be an argument with more than one value.)

Here there are no such values. So the relation is a function.