{"id":9782,"date":"2022-01-26T23:39:40","date_gmt":"2022-01-26T18:09:40","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9782"},"modified":"2022-01-26T23:39:44","modified_gmt":"2022-01-26T18:09:44","slug":"cube-root-function","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/cube-root-function\/","title":{"rendered":"Cube Root Function – Graph, Definition, Domain and Range"},"content":{"rendered":"

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

Let’s begin –<\/p>\n

Cube Root Function<\/h2>\n

The function that associates a real number x to its cube root i.e. \\(x^{1\/3}\\) is called the cube root function. Clearly, \\(x^{1\/3}\\) is defined for all x \\(\\in\\) R. So, we defined the cube root function as follows :<\/p>\n

Definition<\/strong> : The function f : R \\(\\rightarrow\\) R defined by f(x) = \\(x^{1\/3}\\) is called the cube root function.<\/p><\/blockquote>\n

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

Cube Root Function Graph<\/h2>\n

The sign of \\(x^{1\/3}\\) is same as that of x and the values of \\(x^{1\/3}\\) increase with the increase in x.<\/p>\n

So, the graph of f(x) = \\(x^{1\/3}\\) is shown below.<\/p>\n

\"cube<\/p>\n

Domain and Range :<\/h2>\n

Clearly, the domain of the cube root function is R and its range is also R.<\/p>\n

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

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

Here you will learn what is cube root function with definition, graph, domain and range. Let’s begin – Cube Root Function The function that associates a real number x to its cube root i.e. \\(x^{1\/3}\\) is called the cube root function. Clearly, \\(x^{1\/3}\\) is defined for all x \\(\\in\\) R. So, we defined the cube …<\/p>\n

Cube Root 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":[824,826,825,827],"yoast_head":"\nCube Root Function - Graph, Definition, Domain and Range<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the cube root function with graph and definition, domain and range of cube root 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\/cube-root-function\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cube Root Function - 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