Answer: Choice A
No, this relation is not a function. For each gender, there can be more than one age associated with it.
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Explanation:
A function must have one output for each input.
In this case, the input is the gender. It is possible to have multiple boys of different ages for instance, which means that the input "boys" does not lead to a single output. This is why we don't have a function.
A numeric example would be having a relation with points (5,7) and (5,8). The input x = 5 leads to multiple outputs y = 7 and y = 8 simultaneously. This relation is also not a function.