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Three Essential Components of a Function
publish date: 2026/05/23 18:30:35.162543 UTC
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A function consists of exactly three things. Which of the following correctly lists all three? (Select all that apply.)
Correct Answer
(1) A set known as the domain
(2) A set known as the range
(3) A correspondence that assigns each domain member to exactly one range member
Explanation
The three components are: (i) the domain — the set of allowed inputs; (ii) the range — the set of actual outputs; (iii) the correspondence (rule/method/procedure) — mapping each domain element to exactly one range element. A codomain is a larger set that contains the range, but it is not listed as one of the three core components. A formula is just one possible form of the correspondence.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012