The domain and range of functions can be sets other than sets of numbers. For example, the Fingerprint Function has the set of all people for the domain and the set of all individual’s fingerprints for the range. Since each person has fingerprints unique to him or her, there is exactly one set of fingerprints in the range for each person in the domain. Thus, this is a function assuming that each person has at least one finger. Would this be a function if someone in the set of people had no hands?
If we reverse the role and use the set of all fingerprints as the domain, then each set of fingerprints belongs to just one person, so it is a function with the range consisting of those people who have fingerprints.
Give three examples of a function for which either the domain or the range is not a set of numbers.
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