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Function Restriction: Uniqueness of Images

publish date: 2026/05/23 22:20:50.505983 UTC

Why is \(R = \{(1, 2), (1, 3), (2, 5)\}\) not a function from \(\{1, 2\}\) to \(\{2, 3, 5\}\)?

It is not a subset of \(A \times B\)

The element 1 in the domain has two different images (2 and 3)

The element 5 in the codomain has no pre-image

The domain element 2 appears only once

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