{"id":9707,"date":"2022-01-25T23:59:51","date_gmt":"2022-01-25T18:29:51","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9707"},"modified":"2022-01-25T23:59:53","modified_gmt":"2022-01-25T18:29:53","slug":"identity-function","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/identity-function\/","title":{"rendered":"Identity Function – Definition, Graph, Domain and Range"},"content":{"rendered":"

Here you will learn what is identity function with definition, graph and examples.<\/p>\n

Let’s begin –<\/p>\n

What is Identity Function ?<\/h2>\n

Definition<\/strong> : The function that associates each real number to itself is called the identity function. It is usually denoted by I.<\/p>\n

Thus, the function I : R \\(\\rightarrow\\) defined by I(x) = x for all x \\(\\in\\) R is called the identity function.<\/p>\n

For Example<\/strong><\/span>, f(2) = 2<\/p><\/blockquote>\n

Also Read<\/strong> : Types of Functions in Maths \u2013 Domain and Range<\/a><\/p>\n

Graph of Identity Function<\/h2>\n

The graph of a function f(x) = x or y = x is a straight line passing through the origin and inclined at an angle of 45 degrees with x-axis.<\/p>\n

\"identity<\/p>\n

Domain and Range<\/h2>\n

Clearly, the domain and range of the identity function are both equal to R.<\/p>\n

Domain<\/strong> : R<\/p>\n

Range<\/strong> : R<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is identity function with definition, graph and examples. Let’s begin – What is Identity Function ? Definition : The function that associates each real number to itself is called the identity function. It is usually denoted by I. Thus, the function I : R \\(\\rightarrow\\) defined by I(x) = x …<\/p>\n

Identity Function – Definition, Graph, Domain and Range<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[26],"tags":[794,793,797,795,796],"yoast_head":"\nIdentity Function - Definition, Graph, Domain and Range<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is identity function, its definition, graph, domain and range with examples.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/identity-function\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Identity Function - 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