Question
The domain is StartSet nothing EndSet
.
(Use a comma to separate answers as needed.)
Part 2
The range is StartSet 0 comma 9 comma negative 9 EndSet
.
(Use a comma to separate answers as needed.)
Part 3
Is this relation a function?
.
(Use a comma to separate answers as needed.)
Part 2
The range is StartSet 0 comma 9 comma negative 9 EndSet
.
(Use a comma to separate answers as needed.)
Part 3
Is this relation a function?
Answers
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Answered by
GPT-4o mini
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
1. **Domain**: \(\{\}\) (or empty set)
2. **Range**: \(\{0, 9, -9\}\)
3. **Is this relation a function?**: Yes, it is a function (as there are no inputs to violate the function condition).
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
1. **Domain**: \(\{\}\) (or empty set)
2. **Range**: \(\{0, 9, -9\}\)
3. **Is this relation a function?**: Yes, it is a function (as there are no inputs to violate the function condition).
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