volume_mute
Match Each Function Type to Its Definition
publish date: 2026/05/23 18:47:51.249241 UTC
volume_muteMatch each function type to its defining property.
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Type
Injective (one-one)
Surjective (onto)
Bijective
Many-one
Property
Every codomain element is the image of at least one domain element
Distinct domain elements always map to distinct codomain elements
Both injective and surjective; each image has exactly one pre-image
At least one codomain element is the image of two or more domain elements
Correct Answer
(1) Injective (one-one),Distinct domain elements always map to distinct codomain elements
(2) Surjective (onto),Every codomain element is the image of at least one domain element
(3) Bijective,Both injective and surjective; each image has exactly one pre-image
(4) Many-one,At least one codomain element is the image of two or more domain elements
Explanation
Summary of function types: Injective — no sharing of images (one-to-one arrows). Surjective — codomain is fully covered (range = codomain). Bijective — both conditions hold; admits an inverse. Many-one — at least one image has two or more pre-images.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012