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Ordered Pairs and the Uniqueness Condition
publish date: 2026/05/23 18:30:35.451616 UTC
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When a function is described as a set of ordered pairs, which condition must hold?
Correct Answer
No two distinct pairs may share the same first element
Explanation
The defining rule for a function as a set of ordered pairs is: no two distinct pairs may have the same first element. This captures the idea that each domain element maps to exactly one range element. Two different pairs can share the same second element (a many-one function), but never the same first element.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012