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- In mathematics, a function is:
- An expression, rule, or law that defines a relationship between an independent variable and a dependent variable1.
- A mapping from a set X to a set Y, where each element of X is assigned exactly one element of Y2.
- An equation where any input (x) yields exactly one output (y)3.
- A mathematical rule that pairs each input with a unique output4.
- A process or relation that associates each element of one set (domain) with an element of another set (codomain)5.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).www.britannica.com/science/function-mathematicsIn mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.en.wikipedia.org/wiki/Function_(mathematics)A function is an equation for which any x x that can be plugged into the equation will yield exactly one y y out of the equation.tutorial.math.lamar.edu/Classes/Alg/FunctionDefn.…A function is a mathematical rule that maps an input to a unique output. In other words we can say that a function is a relation that pairs each input exactly with one output. In general, we can say that function is a machine that gives a unique output for each input.byjus.com/us/math/functions/A function is a process or a relation that associates each element 'a' of a non-empty set A, at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = { (a,b)| for all a ∈ A, b ∈ B}www.cuemath.com/calculus/What-are-functions/ - People also ask
What is a Function - Math is Fun
A function relates an input to an output. It is like a machine that has an input and an output. The input, relationship and output are the three main parts of a function. Learn how to think about functions, see examples, and discover the types of functions and their properties. See more
We will see many ways to think about functions, but there are always three main parts: 1. The input 2. The relationship 3. The output See more
But we are not going to look at specific functions ... ... instead we will look at the general ideaof a function. See more
Don't get too concerned about "x", it is just there to show us where the input goes and what happens to it. It could be anything! See more
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Function (mathematics) - Wikipedia
In mathematics, a function from a set X to a set Y assigns to each element of X one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functi…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 7 mins
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