{"id":153786,"date":"2022-03-25T22:48:39","date_gmt":"2022-03-25T17:18:39","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/difference-between-relations-and-functions\/"},"modified":"2022-12-31T17:32:29","modified_gmt":"2022-12-31T12:02:29","slug":"difference-between-relations-and-functions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/","title":{"rendered":"Difference Between Relations and Functions"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#An_Introduction_to_Relation_and_Function\" title=\"An Introduction to Relation and Function\">An Introduction to Relation and Function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#What_is_a_Relation\" title=\"What is a Relation?\">What is a Relation?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#Different_Types_of_Relations_in_Mathematics\" title=\"Different Types of Relations in Mathematics\">Different Types of Relations in Mathematics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#What_is_a_Function\" title=\"What is a Function?\">What is a Function?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#Types_of_Functions\" title=\"Types of Functions-\">Types of Functions-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#Some_Special_Functions_in_Algebra\" title=\"Some Special Functions in Algebra-\">Some Special Functions in Algebra-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#Difference_between_Relations_and_Functions\" title=\"Difference between Relations and Functions\">Difference between Relations and Functions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#Relations_and_Functions_Notes\" title=\"Relations and Functions Notes:\">Relations and Functions Notes:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-relations-and-functions\/#Questions_to_be_solved\" title=\"Questions to be solved:\">Questions to be solved:<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"An_Introduction_to_Relation_and_Function\"><\/span>An Introduction to Relation and Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A relation is a set of ordered pairs, while a function is a set of ordered pairs where each element in the set corresponds to a unique output. In other words, a function assigns a unique output to every input, while a relation can have repeated outputs for a given input.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153785 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/difference-between-relations-and-functions.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/difference-between-relations-and-functions.jpg?v=1648228715 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/difference-between-relations-and-functions-300x212.jpg?v=1648228715 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Relation\"><\/span>What is a Relation?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A relation is a mathematical statement that associates two sets, usually denoted by A and B, with a subset of the Cartesian product A \u00d7 B. The relation is usually represented by an arrow diagram, with the arrow pointing from A to B. The subset of A \u00d7 B is typically called the domain of the relation, and the subset of B \u00d7 A is typically called the range of the relation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Different_Types_of_Relations_in_Mathematics\"><\/span>Different Types of Relations in Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A relation in mathematics is a set of ordered pairs (x, y). The x coordinate is always listed first, followed by the y coordinate. There are many different types of relations that can be studied in mathematics.<\/p>\n<p>One of the most basic types of relations is a linear relation. A linear relation is a relation in which the y coordinate always increases or decreases by the same amount as the x coordinate. For example, the relation y = 2x is a linear relation, because the y coordinate always increases by 2 as the x coordinate increases.<\/p>\n<p>Another basic type of relation is a proportional relation. A proportional relation is a relation in which the y coordinate always increases or decreases by the same percentage as the x coordinate. For example, the relation y = 3x is a proportional relation, because the y coordinate always increases by 3 as the x coordinate increases.<\/p>\n<p>A nonlinear relation is a relation in which the y coordinate does not always increase or decrease by the same amount as the x coordinate. For example, the relation y = x^2 is a nonlinear relation, because the y coordinate increases by the square of the x coordinate.<\/p>\n<p>There are also many different types of special relations that can be studied in mathematics. Some of these relations include:<\/p>\n<p>-Parallel lines: A relation in which the y coordinate of each point is always the same as the y coordinate of the next point.<\/p>\n<p>-Perpendicular lines: A relation in which<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Function\"><\/span>What is a Function?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A Function is a set of instructions that tells a computer what to do. Functions can be written in many different programming languages.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Functions\"><\/span>Types of Functions-<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three types of functions-<\/p>\n<p>1. Linear Functions-<\/p>\n<p>A linear function is a function that can be represented by a straight line on a graph. The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.<\/p>\n<p>2. Quadratic Functions-<\/p>\n<p>A quadratic function is a function that can be represented by a curved line on a graph. The equation of a quadratic function is y = ax2 + bx + c, where a, b, and c are the coefficients of the function.<\/p>\n<p>3. Exponential Functions-<\/p>\n<p>An exponential function is a function that can be represented by a curved line on a graph. The equation of an exponential function is y = ax, where a is the coefficient of the function.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Some_Special_Functions_in_Algebra\"><\/span>Some Special Functions in Algebra-<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a number of special functions in algebra that are used to solve certain types of problems. Some of these functions include the square root function, the cube root function, the absolute value function, and the square function.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Difference_between_Relations_and_Functions\"><\/span>Difference between Relations and Functions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Relations can be represented using graphs, while functions cannot. In a relation, each point in the graph corresponds to a unique input and output value. In a function, each point in the graph corresponds to a single input value.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Relations_and_Functions_Notes\"><\/span>Relations and Functions Notes:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. A and B are not related<\/p>\n<p>2. A and B are related<\/p>\n<p>3. A is the function of B<\/p>\n<p>4. B is the function of A<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Questions_to_be_solved\"><\/span>Questions to be solved:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1) What is the value of x?<\/p>\n<p>2) What is the value of y?<\/p>\n<p>3) What is the value of z?<\/p>\n<p>1) The value of x is 2.<\/p>\n<p>2) The value of y is 1.<\/p>\n<p>3) The value of z is 3.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An Introduction to Relation and Function A relation is a set of ordered pairs, while a function is a set [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Difference Between Relations and Functions","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Difference Between Relations and Functions topic of Maths in details explained by subject experts on infinitylearn.com","custom_permalink":"maths\/difference-between-relations-and-functions\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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