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Relations and Functions – Explanation & Examples. Functions and relations are one the most important topics in Algebra. On most occasions, many people tend to confuse the meaning of these two terms. In this article, we will define and elaborate on how you can identify if a relation is a function.

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For example, we can use sets of ordered pairs, graphs, and mapping diagrams to describe the function. In the sections that follow, we will explore other ways of describing a function, for example, through the use of equations and simple word descriptions.

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Relations and functions define a mapping between two sets. A relation is defined as the set of ordered pairs whereas a function is a special type of relation where every element of domain is mapped to exactly one element of the codomain.

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This section covers an introduction to both relations and function. The concept of domain and range are covered, and many examples are presented in visual, graphical and mathematical formats.

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For example, we can take our beloved equation y=mx + b and rewrite it as f (x)=mx+b. Cool! Together we will find the domain and range of given relations and determine if the relation is a function. We will also use the vertical line test given graphs and tell whether each relation is a function.

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The following diagram shows some examples of relations and functions. Scroll down the page for more examples and solutions on how to determine if a relation is a function. Suppose the weights of four students are shown in the following table.

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Relation and Function Examples. FAQs. What is Relation and Function? Relation and Functions are the ways of mapping the establishing link between two entities in mathematics. They are used to establish mathematical relations between two terms.

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Relations and functions are used to portray the correspondence between two sets such that they are in the ordered pair form. Consider an ordered pair (INPUT, OUTPUT) to understand the difference between relation and function.

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Relations show a relationship between two values whereas functions are relationships that make sense. Click to learn more about functions and relations in detail at BYJU'S.