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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

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

    Dec 1, 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).

  4. 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 …

  5. What is a Function in Maths? - BYJU'S

    What is a Function in Maths? A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one …

  6. Basics of functions - Student Academic Success

    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 different ordered pairs with the same first coordinate.

  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. 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 …

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

    Jun 14, 2024 · A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of …

  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 …