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# 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?

Wiki User

2013-08-30 15:34:57

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.

Wiki User

2015-06-26 13:51:56
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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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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?