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Yes. The range can have fewer number of entries.As an extreme case, consider f(x) = 3, where x is a Real number.

The domain is all Real numbers - infinitely many of them, while the range is one value: 3.

A function can contain one-to-one or many-to-one relationships but one-to-many relationships are not permitted. As a result, the cardinality of the range cannot be bigger than the cardinality of the domain.

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Q: Is it ever possible for the domain and range in a function to have different numbers of entries for example 3 domain entries to 5 range entries or 2 range entries to 7 domain entries?

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