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A function is a specific type of mapping that assigns exactly one output for each input from a given set, adhering to the rule that each input must have a unique output. In contrast, a mapping can refer to any relationship between two sets, where an element from the first set can be associated with multiple elements in the second set. Essentially, all functions are mappings, but not all mappings are functions. The distinction lies in the uniqueness of outputs for each input in functions.

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