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Determining if a Relation is a Function

publish date: 2026/05/23 22:20:50.801829 UTC

Let \(A = \{1, 2, 3, 4\}\). Which of the following relations on \(A\) (i.e., from \(A\) to \(A\)) is a function?

\(\{(1, 2), (2, 3), (3, 4), (4, 1)\}\)

\(\{(1, 1), (1, 2), (2, 3), (3, 4)\}\)

\(\{(1, 2), (2, 2), (3, 2), (4, 2), (2, 3)\}\)

\(\{(1, 2), (2, 3), (3, 4)\}\)

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