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Range of a Relation
publish date: 2026/05/23 22:20:50.215738 UTC
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For the relation \(R = \{(1, 2), (3, 4), (5, 2), (7, 8)\}\), what is the range?
Correct Answer
\(\{2, 4, 8\}\)
Explanation
The range of a relation is the set of all second elements from its ordered pairs. From \(R\), the second elements are 2, 4, 2, and 8. Removing duplicates, the range is \(\{2, 4, 8\}\). Note that the range can be a proper subset of the codomain and may have fewer elements than the domain.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012