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A function is a self-contained block of code that encapsulates a specific task or related group of tasks. Functions allow for code reusability and organization, enabling programmers to write cleaner and more efficient code. In mathematics, a function represents a relationship between a set of inputs (domain) and a set of possible outputs (range), typically defined by a rule that assigns to each input exactly one output. Functions can take parameters (inputs), perform operations using those parameters, and return a value (output).