{"id":9731,"date":"2022-01-26T00:00:14","date_gmt":"2022-01-25T18:30:14","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9731"},"modified":"2022-01-26T00:00:17","modified_gmt":"2022-01-25T18:30:17","slug":"what-is-signum-function","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-signum-function\/","title":{"rendered":"What is Signum Function – Graph, Domain and Range"},"content":{"rendered":"

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

Let’s begin –<\/p>\n

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

Definition<\/strong> : The function f defined by<\/p>\n

f(x) = \\(\\begin{cases} | x |\\over x, & \\text{if}\\ |x| \\ne 0 \\\\ 0, & \\text{if}\\ x = 0 \\end{cases}\\)<\/p>\n

or,<\/p>\n

f(x) = \\(\\begin{cases} 1, & \\text{if}\\ x > 0 \\\\ 0, & \\text{if}\\ x = 0 \\\\ -1, & \\text{if}\\ x < 0 \\end{cases}\\)<\/p>\n

is called the signum function.<\/p><\/blockquote>\n

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

Graph :<\/h2>\n

The graph of the signum function is shown below :<\/p>\n

\"signum<\/p>\n

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

The domain of the signum function is the set R of all real numbers and the range is the set {-1, 0, 1}.<\/p>\n

Domain : R<\/p>\n

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

Here you will learn what is signum function definition, graph, domain and range. Let’s begin – What is Signum Function ? Definition : The function f defined by f(x) = \\(\\begin{cases} | x |\\over x, & \\text{if}\\ |x| \\ne 0 \\\\ 0, & \\text{if}\\ x = 0 \\end{cases}\\) or, f(x) = \\(\\begin{cases} 1, & \\text{if}\\ …<\/p>\n

What is Signum 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":[805,804],"yoast_head":"\nWhat is Signum Function - Graph, Domain and Range<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is signum function definition, its graph, domain and range of signum 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\/what-is-signum-function\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is Signum Function - 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