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  1. 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).

  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 …

  3. What is a Function - Math is Fun

    But a function doesn't really have belts or cogs or any moving parts, and it doesn't actually destroy what we put into it! A function relates an input to an output.

  4. Function in Maths - GeeksforGeeks

    Jul 23, 2025 · What is a Function in Maths? In mathematics, a function is a relationship or rule that assigns each input (often called the domain) to exactly one output (often called the co …

  5. Basics of functions - Student Academic Success

    Definition of a function and function notation A function is a relation such that for each x -value there is only one corresponding y -value. In other words, a function cannot contain two …

  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 …

  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 …

  8. 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! …

  9. 9.2: The Definition of a Function - Mathematics LibreTexts

    Jun 5, 2025 · We say the output is a function of the input. The set of input values makes up the domain of the function, and the corresponding set of output values makes up the range of the …

  10. Functions - Definition, Types, Examples

    Aug 6, 2024 · In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.