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  1. Function (mathematics) - Wikipedia

    The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly increased the possible applications of the concept. A function is often denoted by a letter such …

  2. Function | Definition, Types, Examples, & Facts | Britannica

    Dec 1, 2025 · Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are …

  3. What is a Function - Math is Fun

    What is a Function? A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input. " f (x) = ... " is the classic way of writing a …

  4. Introduction to Function - GeeksforGeeks

    Oct 6, 2025 · We can define a function in mathematics as a machine that takes some input and gives a unique output.

  5. Algebra - The Definition of a Function - Pauls Online Math Notes

    Jun 14, 2024 · We also give a “working definition” of a function to help understand just what a function is. We introduce function notation and work several examples illustrating how it works.

  6. Function -- from Wolfram MathWorld

    Dec 22, 2025 · A function is a relation that uniquely associates members of one set with members of another set. More formally, a function from A to B is an object f such that every a in A is uniquely …

  7. What Are Functions in Math?- Cuemath

    Functions define the relationship between two variables, one is dependent and the other is independent. Function in math is a relation f from a set A (the domain of the function) to another set B (the co …