To determine whether a relation is a function, we need to check if each input (or x-value) corresponds to exactly one output (or y-value).
From your input:
Part 1: Domain
The domain is described as \({ \text{nothing} }\). This suggests that there are no input values, or it’s possibly an empty set. This means this relation does not map any x-values to outputs.
Part 2: Range
The range provided is \({0, 9, -9}\). This means the outputs of the relation can be 0, 9, or -9.
Part 3: Is this relation a function?
Since the domain is empty (assuming no x-values at all), there are no inputs to map to the outputs. Therefore, no x-value corresponds to more than one y-value. In the case of an empty set, the relation can be considered a function by default, as it does not violate the rule where each input must correspond to exactly one output.
Conclusion
- Domain: \({}\) (or empty set)
- Range: \({0, 9, -9}\)
- Is this relation a function?: Yes, it is a function (as there are no inputs to violate the function condition).