which relations are functions

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Relations and Functions – Definition, Types, and Examples
https://byjus.com/maths/relations-and-functions/
Whereas, a function is a relation which derives one OUTPUT for each given INPUT. Note: All functions are relations, but not all relations are functions. In this section, you will find the basics of the topic – definition of functions and relations, special functions, different types of relations and some of the solved examples.

https://www.chilimath.com/lessons/intermediate-algebra/relations-and-functions/

Relations and Functions – ChiliMath
https://www.chilimath.com/lessons/intermediate-algebra/relations-and-functions/
A relation that is a function This relation is definitely a function because every x-value is unique and is associated with only one value of y. So for a quick summary, if you see any duplicates or repetitions in the x-values, the relation is not a function. How about this example though?

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-function-intro/v/relations-and-functions

Relations and functions (video) | Khan Academy
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-function-intro/v/relations-and-functions
So, we call a RELATION that is always consistent (you know what you will get when you push the button) a FUNCTION. But, if the RELATION is not consistent (there is inconsistency in what you get when you push some buttons) then we do not call it a FUNCTION. Of course, in algebra you would typically be dealing with numbers, not snacks.

https://www.mathwarehouse.com/algebra/relation/math-function.php

Math Functions and Relations, what makes them different …
https://www.mathwarehouse.com/algebra/relation/math-function.php
Functions are a special kind of relation. At first glance, a function looks like a relation. A function is a set of ordered pairs such as { (0, 1), (5, 22), (11, 9)}. Like a relation, a function has a domain and range made up of the x and y values of ordered pairs.

https://www.geeksforgeeks.org/relations-and-functions/

Relations and Functions – GeeksforGeeks
https://www.geeksforgeeks.org/relations-and-functions/
A function is a special kind of relation. It is a relation in which each domain value maps only to one range value. It is denoted by ƒ:X⇒Y What this means that it is a function from X to Y.

https://www.storyofmathematics.com/relations-and-functions

Relations and Functions – Explanation & Examples
https://www.storyofmathematics.com/relations-and-functions
In mathematics, a function can be defined as a rule that relates every element in one set, called the domain, to exactly one element in another set, called the range. For example, y = x + 3 and y = x 2 – 1 are functions because every x-value produces a different y-value.

https://www.sparknotes.com/math/algebra2/functions/section1/

Algebra II: Functions: Relations and Functions | SparkNotes
https://www.sparknotes.com/math/algebra2/functions/section1/
Functions A function is a relation in which each input has only one output. In the relation, y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

https://www.mathwarehouse.com/algebra/relation/

Relations and Functions in Math, domain, range, evaluating …
https://www.mathwarehouse.com/algebra/relation/
Relations, Functions , Domain Range etc.. One to One, vertical line test, composition Relation vs functions in math (Difference between relations and functions, domain and range)

https://www.mathsisfun.com/sets/function.html

What is a Function – MATH
https://www.mathsisfun.com/sets/function.html
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.

https://quizizz.com/admin/quiz/57ee5e103803b30115d44287/relations-and-functions

Relations and Functions – Quiz – Quizizz
https://quizizz.com/admin/quiz/57ee5e103803b30115d44287/relations-and-functions
Relations and Functions. 5 years ago by . Tracey Hadaway. 75% average accuracy. 15819 plays. 8th – 9th grade . Mathematics. 55 Save Share Copy and Edit Edit. Super resource. With Super, get unlimited access to this resource and over 100,000 other Super resources. Thank you for being Super. Get unlimited access to this and over 100,000 Super …