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  1. 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 …

  2. 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 …

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

    Sep 29, 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 …

  4. 3.1: Functions and Function Notation - Mathematics LibreTexts

    6 days ago · Definition: Function A function is a relation in which each possible input value corresponds to exactly one output value. We say “the output is a function of the input.” The set of all input values …

  5. 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.

  6. 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 uniquely …

  7. Functions | Algebra 1 | Math | Khan Academy

    About this unit A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions. Unit guides are here! Power up your …

  8. Functions | Brilliant Math & Science Wiki

    3 days ago · Mathematically, a function is defined as a map that associates each element in the domain (an argument of the function) with exactly one element in the codomain.

  9. What Are Functions in Math?- Cuemath

    Function in math is a relation f from a set A (the domain of the function) to another set B (the co-domain of the function). Explore with concept, definition, types, and examples.

  10. 3.1 What Are Functions? - MIT Mathematics

    The simplest definition is: a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all …