{"id":373,"date":"2023-07-04T07:39:56","date_gmt":"2023-07-04T07:39:56","guid":{"rendered":"https:\/\/mathority.org\/id\/fungsi-identitas\/"},"modified":"2023-07-04T07:39:56","modified_gmt":"2023-07-04T07:39:56","slug":"fungsi-identitas","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/fungsi-identitas\/","title":{"rendered":"Fungsi identitas"},"content":{"rendered":"<p>Di sini Anda akan menemukan apa itu fungsi identitas. Selain itu, Anda akan dapat melihat cara merepresentasikan fungsi identitas secara grafis dan apa saja karakteristiknya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-identidad\"><\/span> Apa yang dimaksud dengan fungsi identitas?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Fungsi identitas adalah fungsi yang gambarnya memiliki nilai yang sama dengan argumennya.<\/strong> Fungsi identitas dapat dinyatakan dengan istilah <em><strong>id<\/strong><\/em> .<\/p>\n<p> Oleh karena itu, ekspresi matematika untuk fungsi identitas adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-983fed5b7a164bfcb0d3e0b5cebfd4c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"68\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Misalnya bayangan fungsi identitas x=1 bernilai 1, bayangan x=2 bernilai 2, bayangan x=3 bernilai 3,\u2026<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b85e48e3f36d1eb4271b265aaf35bef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(1)=1\\\\[2ex]f(2)=2\\\\[2ex]f(3)=3\\\\ \\bm{\\vdots}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"120\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Fungsi identitas adalah contoh fungsi linier. Di tautan berikut Anda dapat melihat lebih banyak contoh fungsi jenis ini:<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/fungsi-linier-dan-affine\/\">contoh fungsi linier<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-identidad\"><\/span> Representasi grafis dari fungsi identitas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Grafik fungsi identitas bersesuaian dengan garis yang merupakan garis bagi kuadran pertama dan ketiga. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-didentite.webp\" alt=\"fungsi identitas\" class=\"wp-image-616\" width=\"404\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Seperti yang Anda lihat, fungsi identitas melewati titik asal (titik (0,0)) dan memiliki kemiringan sama dengan satu (m=1), karena satu satuan variabel bertambah dan untuk setiap nilai independen variabel X. Selain itu, fungsi identitas membentuk sudut 45\u00ba dengan sumbu X. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-funcion-identidad\"><\/span> Ciri-ciri fungsi identitas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fungsi identitas memiliki properti berikut:<\/p>\n<ul>\n<li> Domain fungsi identitas adalah semua bilangan real:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6a5bb1d7547a2d733c138cfc33c6f3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f=\\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> Jangkauan (atau jangkauan) fungsi identitas juga terdiri dari semua bilangan real:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3ecde093819f7093a822146403ef191_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f=\\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> Fungsi identitas merupakan fungsi kontinu dan bijektif.<\/li>\n<\/ul>\n<ul>\n<li> Selain itu, fungsi identitas terdiri dari fungsi ganjil, artinya merupakan fungsi simetris terhadap titik asal koordinat.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5db584bb9d529c83c3c80bb43b4c96c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/simetri-fungsi-simetris-dan-asimetris\/\">fungsi simetris ganjil<\/a><\/span><\/p>\n<ul>\n<li> Fungsi identitas meningkat di seluruh domainnya, dan kemiringannya sama dengan 1.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d94dded0dc9c883f82d566d62e2d4b42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Memotong sumbu x (sumbu OX) dan sumbu y (sumbu Y) pada titik yang sama: titik asal koordinat.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cf2000c782cfe94be6df5f499cd3e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Ini dapat diklasifikasikan sebagai fungsi polinomial derajat pertama.<\/li>\n<\/ul>\n<ul>\n<li> Fungsi identitas bertindak sebagai elemen netral dari <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/komposisi-fungsi-fungsi-komposit\/\">komposisi fungsi<\/a><\/span> . Sehingga setiap fungsi yang dikomposisikan dengan fungsi identitas akan menghasilkan fungsi itu sendiri.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-492b02c1d4c5597bb42d3378c7f2d4aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\circ id =id \\circ f=f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"143\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> Nilai\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah satu-satunya akar dari jenis fungsi ini.<\/li>\n<\/ul>\n<ul>\n<li> Limit fungsi identitas ketika x cenderung ke arah plus tak terhingga atau minus tak terhingga berturut-turut menghasilkan plus tak terhingga dan minus tak terhingga:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1459a4b1c6280a67227c0a432d4bd0ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty} f(x)=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"138\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84deabbc661b9768d7dfe27dee84ca99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -\\infty} f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"138\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Oleh karena itu, fungsi identitas tidak memiliki asimtot.<\/li>\n<\/ul>\n<ul>\n<li> Turunan dari fungsi identitas adalah fungsi konstanta dengan nilai 1:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a90dcf49bd1389d625f48fc4770eff1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x \\ \\longrightarrow \\ f'(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Integral fungsi identitas adalah fungsi kuadrat:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60083c016c4d5015ce7dc59e2e864c3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int x \\ dx= \\frac{x^2}{2} + C\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"137\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/fungsi-parabola-kuadrat\/\">rumus fungsi kuadrat<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di sini Anda akan menemukan apa itu fungsi identitas. Selain itu, Anda akan dapat melihat cara merepresentasikan fungsi identitas secara grafis dan apa saja karakteristiknya. Apa yang dimaksud dengan fungsi identitas? Fungsi identitas adalah fungsi yang gambarnya memiliki nilai yang sama dengan argumennya. Fungsi identitas dapat dinyatakan dengan istilah id . Oleh karena itu, ekspresi &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/fungsi-identitas\/\"> <span class=\"screen-reader-text\">Fungsi identitas<\/span> Selengkapnya &raquo;<\/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":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","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":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[49],"tags":[],"class_list":["post-373","post","type-post","status-publish","format-standard","hentry","category-representasi-fungsi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fungsi Identitas - Mathoritas<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/fungsi-identitas\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fungsi Identitas - Mathoritas\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan apa itu fungsi identitas. 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