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Definition of a Function as an Input Output Mapping in Algebra

A function assigns to each admissible input exactly one output, so that a rule can be spoken of as having a set of inputs it accepts and a set of outputs it attains.

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Function Mapping in Algebra

A mapping between a domain and codomain is classified as a function if and only if every element in the domain associates with exactly one unique element in the range, ensuring single-valuedness. Thi…