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

Jul 11, 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).

function, office, duty, province mean the acts or operations expected of a person or thing. function implies a definite end or purpose or a particular kind of work.

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. We also define the domain and range of a function. …

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.

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-domain).

A function is simply defined as a set of rules that associates input values with output values. In other words, a function is a relationship between two sets that assigns a unique output value to each input value.

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.

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

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