Example

Example: Sets of Ordered Pairs as a Mathematical Function

Consider the relation defined by the set of ordered pairs: {(3,27),(2,8),(1,1),(0,0),(1,1),(2,8),(3,27)}\{(-3, 27), (-2, 8), (-1, 1), (0, 0), (1, 1), (2, 8), (3, 27)\}. We can determine if this relation is a mathematical function by examining its coordinates. Each xx-value is matched with only one yy-value, so this relation is a function. The domain is the set of all unique xx-values: {3,2,1,0,1,2,3}\{-3, -2, -1, 0, 1, 2, 3\}, and the range is the set of all unique yy-values: {0,1,8,27}\{0, 1, 8, 27\}.

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Updated 2026-05-06

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