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 …

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).

Functions are widely used in science, engineering, and in most fields of mathematics. It has been said that functions are "the central objects of investigation" in most fields of mathematics. [5]

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 …

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 …

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 …

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 …

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 …

Functions are a type of relation and are most useful to analyse quantities and be graphed. The concept of functions mapping input onto (at most) 1 output separates functions from …

Dec 8, 2025 · By definition, a relation is defined as a function if each element of the domain maps to one, and only one, element of the range. Not all relations are functions, but functions are a …