Formal Definition of a Function A function relates each element of a set with exactly one element of another set (possibly the same set).

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 letter such as f, g or h.

Aug 23, 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).

Aug 19, 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 the co-domain of the function. A function in mathematics from set A to set B is defined as, f …

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-domain of the function). Explore with concept, definition, types, and examples.

In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

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 classroom with engaging strategies, tools, …