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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 …

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

    4 days ago · Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

  3. FUNCTION Definition & Meaning - Merriam-Webster

    function, office, duty, province mean the acts or operations expected of a person or thing. function implies a definite end or purpose or a particular kind of work. office is typically applied to the …

  4. 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 …

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

    Jun 14, 2024 · In this section we will formally define relations and functions. We also give a “working definition” of a function to help understand just what a function is. We introduce …

  6. Introduction to Function - GeeksforGeeks

    Oct 6, 2025 · A function is a special relation or method connecting each member of set A to a unique member of set B via a defined relation. Set A is called the domain, and set B is called …

  7. Function - from Wolfram MathWorld

    Nov 14, 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 …

  8. Basics of functions - Student Academic Success

    Use this page to revise the following concepts of functions: A function is a relation such that for each x -value there is only one corresponding y -value. In other words, a function cannot …

  9. FUNCTION Definition & Meaning | Dictionary.com

    Function definition: the kind of action or activity proper to a person, thing, or institution; the purpose for which something is designed or exists; role.. See examples of FUNCTION used in …

  10. 9.2: The Definition of a Function - Mathematics LibreTexts

    Jun 5, 2025 · A function is a relation in which each possible input value leads to exactly one output value. We say the output is a function of the input. The set of input values makes up the …