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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

    In several areas of mathematics, the term "function" refers to partial functions rather than to ordinary (total) functions. This is typically the case when functions may be specified in a way that makes …

  3. 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 …

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

    Jan 13, 2026 · 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 …

  5. 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 …

  6. 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 function notation and …

  7. 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 function …

  8. 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 …

  9. 2.1: Introduction to Functions - Mathematics LibreTexts

    Jun 4, 2023 · We begin with a formal definition. A relation is a function if and only if each object in its domain is paired with one and only one object in its range. This is not an easy definition, so let’s take …

  10. Function -- from Wolfram MathWorld

    Jan 29, 2026 · These "functions" are called multivalued functions (or multiple-valued functions), and arise prominently in the theory of complex functions, where the presence of multiple values …