{"id":155074,"date":"2022-03-26T00:14:30","date_gmt":"2022-03-25T18:44:30","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/bijective-function\/"},"modified":"2022-12-22T21:53:33","modified_gmt":"2022-12-22T16:23:33","slug":"bijective-function","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/bijective-function\/","title":{"rendered":"Bijective Function"},"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\/bijective-function\/#Learn_Bijective_Function_on_Infinity_Learn\" title=\"Learn Bijective Function on Infinity Learn\">Learn Bijective Function on Infinity Learn<\/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\/bijective-function\/#Surjective_Injective_and_Bijective_Functions\" title=\"Surjective, Injective and Bijective Functions\">Surjective, Injective and Bijective Functions<\/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\/bijective-function\/#Bijective_Function_Definition\" title=\"Bijective Function Definition\">Bijective Function Definition<\/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\/bijective-function\/#Bijective_Function_Properties\" title=\"Bijective Function Properties\">Bijective Function Properties<\/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\/bijective-function\/#How_to_prove_that_a_Function_is_Bijective\" title=\"How to prove that a Function is Bijective?\">How to prove that a Function is Bijective?<\/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\/bijective-function\/#Important_Points_to_Remember_for_Bijective_Function\" title=\"Important Points to Remember for Bijective Function:\">Important Points to Remember for Bijective Function:<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Learn_Bijective_Function_on_Infinity_Learn\"><\/span>Learn Bijective Function on Infinity Learn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>&nbsp;<\/p>\n<p>A bijective function is a function that is both injective and surjective. This means that it maps every element in its domain to a unique element in its range, and that it also maps every element in its range back to its original element in the domain.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155073 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/bijective-function.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/bijective-function.jpg?v=1648233866 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/bijective-function-300x212.jpg?v=1648233866 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Surjective_Injective_and_Bijective_Functions\"><\/span>Surjective, Injective and Bijective Functions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A function is said to be surjective if for every element in the codomain there exists at least one element in the domain such that the function maps that element to the codomain element.<\/p>\n<p>A function is said to be injective if for every element in the domain there exists at most one element in the codomain such that the function maps that element to the codomain element.<\/p>\n<p>A function is said to be bijective if it is both surjective and injective.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Bijective_Function_Definition\"><\/span>Bijective Function Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A bijective function is a function that is both injective and surjective.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Bijective_Function_Properties\"><\/span>Bijective Function Properties<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A bijective function is a function that is both injective and surjective.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_prove_that_a_Function_is_Bijective\"><\/span>How to prove that a Function is Bijective?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few steps in proving that a function is bijective. The first is to show that the function is injective, meaning that every element in the domain of the function is mapped to a unique element in the range of the function. The second step is to show that the function is surjective, meaning that every element in the range of the function is mapped to an element in the domain of the function. The third and final step is to show that the function is bijective, meaning that the function is both injective and surjective.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Important_Points_to_Remember_for_Bijective_Function\"><\/span>Important Points to Remember for Bijective Function:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A bijective function is a function that is both injective and surjective.<\/p>\n<p>A bijective function can be represented by a bijection diagram, which will show the function&#8217;s inputs and outputs.<\/p>\n<p>A bijection diagram will always be a one-to-one correspondence.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learn Bijective Function on Infinity Learn &nbsp; A bijective function is a function that is both injective and surjective. This [&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":"Bijective Function","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Bijective Function topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.","custom_permalink":"maths\/bijective-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>Bijective Function - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Bijective Function topic of Maths in details explained by subject experts on infinitylearn.com. 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