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.

Jan 13, 2026 · function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

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 that makes …

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 different ordered pairs …

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 …

Jun 14, 2024 · In this section we will formally define relations and functions. We also give a “working definition” of a function to help understand just what a function is. We introduce function notation and …

Oct 6, 2025 · Trigonometric functions are mathematical functions that relate the angles of a right triangle to the lengths of its sides. The six primary trigonometric functions are sine (sin), cosine (cos), tangent …

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 pairs are all …

Rearranging to solve for the variable you want to measure, you get a function (as long as there's not multiple outputs for any input)! Functions involve anything with an independent and dependent …

Learn what a function is in Maths with clear definitions, types, visual examples, and tips to identify and use functions in problems.