For the given point
, the domain is
and the range is

For the given point
, the domain and range can be described in interval notation.
1. Domain:
The domain of a function is the set of all possible input values (independent variable). In this case, the x-coordinate of the point
represents the input value. Therefore, the domain is simply the set of all possible x-values.
![\[ \text{Domain: } (-\infty, \infty) \]](https://img.qammunity.org/2024/formulas/mathematics/college/zwbs8lz14yw2berhrbzwojo1m0zwomhidk.png)
This interval notation
indicates that the x-values can be any real number.
2. Range:
The range of a function is the set of all possible output values (dependent variable). In this case, the y-coordinate of the point
represents the output value. Therefore, the range is the set containing only that y-value.
![\[ \text{Range: } \{4\} \]](https://img.qammunity.org/2024/formulas/mathematics/college/4testtx73mkzf2v884fto4lpv84ni4itmg.png)
This interval notation
indicates that the y-values can only be 4.