Example

Example: Determining a Relation, Domain, and Range from a Mapping of Student IDs

A mapping diagram visually designates how elements in a domain correspond to elements in a range using arrows. For example, consider a mapping matching student names to their unique student ID numbers: Khanh Nguyen to k n 68413, Abigail Brown to a b 56781, Sumantha Mishal to s m 32479, and Jose Hernandez to j h 47983. The set of ordered pairs for this relation is { (Khanh Nguyen, k n 68413), (Abigail Brown, a b 56781), (Sumantha Mishal, s m 32479), (Jose Hernandez, j h 47983) }. The domain is the collection of inputs or starting points for the arrows, representing the student names: { Khanh Nguyen, Abigail Brown, Sumantha Mishal, Jose Hernandez }. The range is the collection of outputs pointed to by the arrows, representing the student IDs: { a b 56781, j h 47983, k n 68413, s m 32479 }.

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Updated 2026-04-24

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