{"id":419,"date":"2023-07-16T05:16:49","date_gmt":"2023-07-16T05:16:49","guid":{"rendered":"https:\/\/mathority.org\/de\/grafikfunktionen\/"},"modified":"2023-07-16T05:16:49","modified_gmt":"2023-07-16T05:16:49","slug":"grafikfunktionen","status":"publish","type":"page","link":"https:\/\/mathority.org\/de\/grafikfunktionen\/","title":{"rendered":"Funktionsgraph"},"content":{"rendered":"<div class=\"wp-block-columns is-layout-flex wp-container-26 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/domaine-dimage-et-plage-dune-fonction.webp\" alt=\"Dom\u00e4ne und Umfang einer Funktion\" class=\"wp-image-3042\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/konstante-funktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-constante-dimage.webp\" alt=\"konstante Funktion\" class=\"wp-image-3057\" width=\"260\" height=\"181\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/lineare-und-affine-funktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-de-fonction-lineaire-et-affine.webp\" alt=\"lineare und affine Funktion\" class=\"wp-image-3043\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-30 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/quadratische-parabelfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-de-la-fonction-quadratique.webp\" alt=\"quadratische Funktion\" class=\"wp-image-3044\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/identitatsfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-didentite-dimage.webp\" alt=\"Identit\u00e4tsfunktion\" class=\"wp-image-3061\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/polynomfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-de-la-fonction-polynomiale.webp\" alt=\"Polynomfunktion\" class=\"wp-image-3060\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-34 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-dimage-par-morceaux.webp\" alt=\"St\u00fcckweise definierte Funktionen\" class=\"wp-image-3068\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/rationale-funktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-rationnelle-de-limage.webp\" alt=\"rationale Funktion\" class=\"wp-image-3064\" width=\"260\" height=\"180\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/irrationale-oder-radikale-funktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-irrationnelles-dimage.webp\" alt=\"Irrationale Funktionen\" class=\"wp-image-3047\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-38 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/funktionen-mit-absolutem-wert\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-dimage-avec-valeur-absolue.webp\" alt=\"Absolutwertfunktionen\" class=\"wp-image-3046\" width=\"260\" height=\"181\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/exponentialfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-exponentielles-dimage.webp\" alt=\"Exponentialfunktion\" class=\"wp-image-3048\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/logarithmische-funktionen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-logarithmiques-dimage.webp\" alt=\"logarithmische Funktionen\" class=\"wp-image-3049\" width=\"260\" height=\"181\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-42 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/sinusfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-de-la-fonction-sinus.webp\" alt=\"Sinusfunktion\" class=\"wp-image-3050\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/kosinusfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-cosinus-de-limage.webp\" alt=\"Kosinusfunktion\" class=\"wp-image-3051\" width=\"260\" height=\"181\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/tangensfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-tangente-image.webp\" alt=\"Tangensfunktion\" class=\"wp-image-3052\" width=\"260\" height=\"181\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"> Funktionseigenschaften <\/h2>\n<div class=\"wp-block-columns is-layout-flex wp-container-46 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/umkehr--oder-reziprokfunktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-de-la-fonction-inverse.webp\" alt=\"Umkehrfunktion\" class=\"wp-image-3063\" width=\"260\" height=\"183\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/zusammensetzung-der-funktionen-zusammengesetzte-funktion\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/composition-dimage-des-fonctions.webp\" alt=\"Zusammensetzung der Funktionen\" class=\"wp-image-3062\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/symetrie-dune-fonction-dimage.webp\" alt=\"\" class=\"wp-image-3082\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-50 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/mathority.org\/de\/operationen-mit-funktionen-addieren-subtraktionsproduktdivision\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/operations-dimage-avec-des-fonctions.webp\" alt=\"Operationen mit Funktionen\" class=\"wp-image-3059\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/beschrankte-funktionen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quelles-sont-les-parties-d-un-polynome.png\" alt=\"beschr\u00e4nkte Funktion\" class=\"wp-image-3056\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/periodizitat-einer-amtszeit\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/periodicite-image-dune-fonction.webp\" alt=\"Periodizit\u00e4t einer Funktion\" class=\"wp-image-3055\" width=\"260\" height=\"182\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-53 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\/division-von-monomen-division-beispiele-und-geloste-ubungen-1\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/transformations-de-fonction-dimage.webp\" alt=\"Funktionstransformationen\" class=\"wp-image-3054\" width=\"250\" height=\"177\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"> <a href=\"https:\/\/mathority.org\/de\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-des-points-de-coupure-dune-fonction.webp\" alt=\"Grenzpunkte einer Funktion\" class=\"wp-image-3053\" width=\"250\" height=\"175\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Funktionseigenschaften<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","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":""},"class_list":["post-419","page","type-page","status-publish","hentry"],"yoast_head":"<!-- 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