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 …

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).

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.

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 …

Jun 14, 2024 · We also give a “working definition” of a function to help understand just what a function is. We introduce function notation and work several examples illustrating how it works. …

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.

Dec 22, 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 …

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 …

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.

FUNCTION definition: 1. the natural purpose (of something) or the duty (of a person): 2. an official ceremony or a…. Learn more.