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.

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 …

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).

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 · 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 …

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 …

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 …

Dec 3, 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 …

Jun 5, 2025 · We say the output is a function of the input. The set of input values makes up the domain of the function, and the corresponding set of output values makes up the range of the …

By definition of a function, a circle cannot be a solution to a function. A function, by definition, can only have one output value for any input value. So this is one of the few times your Dad may …