Question
Look at this mapping diagram:
Domain
Range
6
16
11
9
5
1
4
Is this relation a function?
Domain
Range
6
16
11
9
5
1
4
Is this relation a function?
Answers
GPT-4o mini
To determine if the given relation is a function, we need to check if each element in the domain is associated with exactly one element in the range.
In a function, no two different elements in the domain can map to the same element in the range.
From the mapping diagram you provided, we can see:
- Domain elements are: 6, 11, 5, 4
- Range elements are: 16, 9, 1
However, you have provided only the values without indicating which domain value maps to which range value. If each value in the domain only corresponds to one value in the range and there are no repetitions of range values for different domain inputs, then yes, it is a function.
For example, if you have the following mappings:
- 6 → 16
- 11 → 9
- 5 → 1
- 4 → 1
In this case, since the domain value 5 maps to 1 and another domain value (4) also maps to 1, this would not qualify as a function.
You need to check the specific mappings to confirm whether or not it's a function. If each domain value maps to a unique range value, it's a function; if any domain value maps to multiple range values, it is not. If you can provide the specific mappings, I can help analyze it further!
In a function, no two different elements in the domain can map to the same element in the range.
From the mapping diagram you provided, we can see:
- Domain elements are: 6, 11, 5, 4
- Range elements are: 16, 9, 1
However, you have provided only the values without indicating which domain value maps to which range value. If each value in the domain only corresponds to one value in the range and there are no repetitions of range values for different domain inputs, then yes, it is a function.
For example, if you have the following mappings:
- 6 → 16
- 11 → 9
- 5 → 1
- 4 → 1
In this case, since the domain value 5 maps to 1 and another domain value (4) also maps to 1, this would not qualify as a function.
You need to check the specific mappings to confirm whether or not it's a function. If each domain value maps to a unique range value, it's a function; if any domain value maps to multiple range values, it is not. If you can provide the specific mappings, I can help analyze it further!