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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 …

  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 …

  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 …

  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 …

  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 …

  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! …

  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 …