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Condition for a Relation to Be a Function

publish date: 2026/05/23 22:20:49.025846 UTC

What condition must a relation from \(A\) to \(B\) satisfy to be called a function?

Every element of \(A\) must appear as the first element in exactly one ordered pair

Every element of \(B\) must appear as the second element in at least one ordered pair

No two ordered pairs may share the same second element

The relation must be equal to \(A \times B\)

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012