To determine whether the given sets of numbers define a function, we need to consider the definition of a function in terms of relations between the domain and the range.
A function is a specific type of relation where each element in the domain is associated with exactly one element in the range. In other words, no two different elements in the domain should point to the same element in the range.
In your case, the Domain contains the numbers 3, 6, 8, and 11, while the Range contains the numbers 4, 5, and 7. Based on the arrows you described:
- 3 maps to 4
- 6 maps to 5
- 11 maps to 7
You did not mention how the number 8 is treated in the mapping to the Range. Because we don't know the mapping of 8 (whether it points to a value in the Range or is not associated with any value), we cannot definitively conclude whether the relation is a function based on the information provided.
If 8 does not have a mapping in the Range, that would mean it is not associated with any value, but that could still be considered a function. However, if 8 maps to any value in the Range, we would need to ensure that it does not map to multiple values to maintain the definition of a function.
Based on the arrows described, it seems that at least some mappings are in place, but without information on how the number 8 is handled, we cannot declare this relation as a function definitively. It could be considered a function if 8 does not map to a value, or if it maps to a unique value in a way that complies with the condition of a function.