Visualize relationships between domain and codomain sets.
Set Definitions
Properties
Is Function?YesValid single-valued mapping
One-to-One (Injective)?Yes
Onto (Surjective)?Yes
Bijective?Yes
About this calculator
Understanding Mappings
A mapping relates elements from one set (Domain) to another (Codomain). For it to be a function, every element in the domain must map to exactly one element in the codomain.
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Pro Tips
Injective (One-to-One): No two domain elements map to the same codomain element.
Surjective (Onto): Every codomain element is mapped to by at least one domain element.
Bijective: Both Injective and Surjective.
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Fun Facts
"Mapping diagrams are often called arrow diagrams."
"The vertical line test is a visual way to check if a graph represents a function."
