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Sort Function Types by Restrictiveness

publish date: 2026/05/23 18:47:52.070425 UTC

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Sort these function types from least restrictive (top) to most restrictive (bottom).

Bijective (one-one and onto)
General function (no extra restriction on codomain)
Injective (one-one only)
Surjective (onto only)

Correct Answer

(1) General function (no extra restriction on codomain)
(2) Injective (one-one only)
(3) Surjective (onto only)
(4) Bijective (one-one and onto)

Explanation

A general function imposes no conditions on the codomain. Injective and surjective each add one condition on the codomain. Bijective adds both conditions simultaneously — it is the most restrictive type and guarantees that an inverse function exists.

Reference

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

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