{"id":9726,"date":"2022-01-26T00:00:07","date_gmt":"2022-01-25T18:30:07","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9726"},"modified":"2022-01-26T00:00:10","modified_gmt":"2022-01-25T18:30:10","slug":"fractional-part-function","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/fractional-part-function\/","title":{"rendered":"Fractional Part Function – Graph, Domain and Range"},"content":{"rendered":"

Here you will learn definition, graph, domain and range of fractional part function.<\/p>\n

Let’s begin –<\/p>\n

Fractional Part Function<\/h2>\n

Definition<\/strong> : For any real number x, we use the symbol {x} to denote fractional part or decimal part of x.<\/p>\n

For example<\/strong><\/span>, {3.45} = 0.45, {-2.75} = 0.25, {-0.55} = 0.45, {3} = 0, {-7} = 0 etc.<\/p>\n

The function f : R \\(\\rightarrow\\) R defined by f(x) = {x} for all x \\(\\in\\) r is called the fractional part function.<\/p><\/blockquote>\n

It is evident from the definition that<\/p>\n

f(x) = {x} = x – [x] for all x \\(\\in\\) R<\/p><\/blockquote>\n

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

Graph of Fractional Part Function<\/h2>\n

The graph of the fractional part function is as shown below.<\/p>\n

\"fractional<\/p>\n

Domain and Range of Fractional Part Function<\/h2>\n

We observe that the domain is the set of R of all real numbers and the range is the set [0, 1).<\/p>\n

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

Range<\/strong> : [0, 1)<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Here you will learn definition, graph, domain and range of fractional part function. Let’s begin – Fractional Part Function Definition : For any real number x, we use the symbol {x} to denote fractional part or decimal part of x. For example, {3.45} = 0.45, {-2.75} = 0.25, {-0.55} = 0.45, {3} = 0, {-7} …<\/p>\n

Fractional Part Function – 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":[802,803],"yoast_head":"\nFractional Part Function - Graph, Domain and Range<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is fractional part function definition and graph, domain and range of fractional part 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\/fractional-part-function\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fractional Part Function - 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