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.

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 …

Diagram of a function Diagram of a relation that is not a function. One reason is that 2 is the first element in more than one ordered pair. Another reason is that neither 3 nor 4 are the first element (input) of …

Jul 23, 2025 · A function in math is like a machine that takes an input, does something to it, and gives a specific output. For each input, there’s exactly one output. It’s a rule that connects each input to one …

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 the ordered …

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 …

Function s are one of the most fundamental concepts in mathematics, forming the foundation for topics in algebra, calculus and many other areas. A solid understanding of the basics of functions, including …

Nov 14, 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 uniquely …

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every …

Jun 5, 2025 · Definitions and Theorems Definition: Function A function is a relation in which each possible input value leads to exactly one output value. We say the output is a function of the input. …