{"id":155178,"date":"2022-03-26T00:21:28","date_gmt":"2022-03-25T18:51:28","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/one-to-one-function-explaination-inverses-and-solved-examples\/"},"modified":"2022-12-27T13:19:25","modified_gmt":"2022-12-27T07:49:25","slug":"one-to-one-function-explaination-inverses-and-solved-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/one-to-one-function\/","title":{"rendered":"One to One Function &#8211; Explanation, Inverses and Solved Examples"},"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\/one-to-one-function\/#Introduction_To_A_One-to-One_Function\" title=\"Introduction To A One-to-One Function\">Introduction To A One-to-One 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\/one-to-one-function\/#One-to-One_Function_Explained\" title=\"One-to-One Function Explained\">One-to-One Function Explained<\/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\/one-to-one-function\/#One-to-One_Function_and_Its_Inverses\" title=\"One-to-One Function and Its Inverses\">One-to-One Function and Its Inverses<\/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\/one-to-one-function\/#Horizontal_Line_Test\" title=\"Horizontal Line Test\">Horizontal Line Test<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_To_A_One-to-One_Function\"><\/span>Introduction To A One-to-One Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>One to One Function &#8211; Explanation: A <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/one-to-one-function\/\">one-to-one function<\/a> is a mathematical function in which each input corresponds to a unique output. In other words, no two inputs will produce the same output. One-to-one functions are important in mathematics because they can be used to solve problems such as determining whether two sets are equal.<\/p>\n<p>For example, the function y = x2 can be used to determine whether two sets are equal. If two sets have the same values for every input, then the two sets will be equal.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155177 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/one-to-one-function-explaination-inverses-and-solved-examples.jpg\" alt=\"One to One Function - Explanation, Inverses and Solved Examples\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/one-to-one-function-explaination-inverses-and-solved-examples.jpg?v=1648234283 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/one-to-one-function-explaination-inverses-and-solved-examples-300x212.jpg?v=1648234283 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"One-to-One_Function_Explained\"><\/span>One-to-One Function Explained<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A one-to-one function is a mathematical relationship between two variables in which each value of one variable corresponds to a single value of the other variable. In other words, a one-to-one function is a function in which every input corresponds to a unique output.<\/p>\n<p>One-to-one functions are important in mathematics because they can used to create algorithms. For example, if you want to create a program that can generate a list of unique numbers, you can use a one-to-one function to do so.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"One-to-One_Function_and_Its_Inverses\"><\/span>One-to-One Function and Its Inverses<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A one-to-one function is a function in which every input corresponds to a unique output. In other words, a one-to-one function is a function in which no two inputs result in the same output.<\/p>\n<p>One-to-one functions are important in mathematics because they can inverted to create a function&#8217;s inverse. The inverse of a one-to-one function is a function in which every output corresponds to a unique input. In other words, the inverse of a one-to-one function is a function in which no two outputs result in the same input.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Horizontal_Line_Test\"><\/span>Horizontal Line Test<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The horizontal line test used to determine if a function is linear. Function is linear if it can represented by equation y = mx + b. Where m is the slope and b is the y-intercept. To use the horizontal line test, draw a line that is parallel to the y-axis and is at a height of y = mx + b. If the function intersects the line at more than one point, then the function is linear. If the function intersects the line at only one point, then the function is not linear.<\/p>\n<h2><\/h2>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction To A One-to-One Function One to One Function &#8211; Explanation: A one-to-one function is a mathematical function in which [&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":"One to One Function - Explanation","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"One to One Function- Explanation: Learn about One to One Function topic of Maths in details explained by subject experts on infinitylearn.com","custom_permalink":"maths\/one-to-one-function\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>One to One Function - 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