{"id":9764,"date":"2022-01-26T23:38:49","date_gmt":"2022-01-26T18:08:49","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9764"},"modified":"2022-01-26T23:38:52","modified_gmt":"2022-01-26T18:08:52","slug":"reciprocal-function-graph-definition-domain-and-range","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/reciprocal-function-graph-definition-domain-and-range\/","title":{"rendered":"Reciprocal Function – Graph, Definition, Domain and Range"},"content":{"rendered":"

Here you will learn what is reciprocal function with definition, graph and domain and range.<\/p>\n

Let’s begin –<\/p>\n

Reciprocal Function<\/h2>\n

The function that associates a real number x to its reciprocal \\(1\\over x\\) is called the reciprocal function. Since \\(1\\over x\\) is not defined for x = 0. So, we define reciprocal function as follows :<\/p>\n

Definition<\/strong> : The function f : R – {0} \\(\\rightarrow\\) R defined by f(x) = \\(1\\over x\\) is called the reciprocal function.<\/p><\/blockquote>\n

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

Graph of Reciprocal Function<\/h2>\n

The sign of 1\/x is same as that of x and 1\/x decrease with increase in x.<\/p>\n

So, the graph of f(x) = \\(1\\over x\\) is :<\/p>\n

\"reciprocal<\/p>\n

Domain and Range of Reciprocal Function<\/h2>\n

Clearly, the domain of this function is R – {0} and its range is also R – {0}.<\/p>\n

Domain<\/strong> : R – {0}<\/p>\n

Range<\/strong> : R – {0}<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is reciprocal function with definition, graph and domain and range. Let’s begin – Reciprocal Function The function that associates a real number x to its reciprocal \\(1\\over x\\) is called the reciprocal function. Since \\(1\\over x\\) is not defined for x = 0. So, we define reciprocal function as follows …<\/p>\n

Reciprocal Function – Graph, Definition, 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":[812,815,813,814],"yoast_head":"\nReciprocal Function - Graph, Definition, Domain and Range<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is reciprocal function definition and graph, domain and range of reciprocal function.\" \/>\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\/reciprocal-function-graph-definition-domain-and-range\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Reciprocal Function - 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