{"id":2269,"date":"2020-11-24T16:42:17","date_gmt":"2020-11-24T15:42:17","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=2269"},"modified":"2024-07-14T17:23:51","modified_gmt":"2024-07-14T15:23:51","slug":"potenzfunktionen-untersuchen-geogebra","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=2269","title":{"rendered":"Potenzfunktionen untersuchen (Geogebra)"},"content":{"rendered":"\n<p><img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"50\" class=\"wp-image-7501\" style=\"width: 50px;\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2.png\" alt=\"\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2.png 100w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2-80x80.png 80w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2-50x50.png 50w\" sizes=\"auto, (max-width: 50px) 100vw, 50px\" \/><\/p>\n\n\n\n<p class=\"has-text-align-left has-background\" style=\"background-color:#ffb9bc\"><strong><span class=\"has-inline-color has-primary-color\">Ver\u00e4ndere die Werte f\u00fcr a,<\/span><\/strong> so nimmst du Einfluss <strong><span class=\"has-inline-color has-primary-color\">Streckungen, Stauchungen und Spiegelung<\/span><\/strong> <br>an der x-Achse. <br><br><span style=\"color:#ed0520\" class=\"has-inline-color\"><strong>Ver\u00e4nderungen an n<\/strong> <\/span>bewirken die Ver\u00e4nderung des Grades der Funktion und damit  <strong><span style=\"color:#f80723\" class=\"has-inline-color\">Art des Graphen(Symmetrie\/Asymmetrie) <\/span><\/strong><br>  <\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\">\\( y=ax^n \\)<\/p>\n\n\n\n<p><\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><iframe loading=\"lazy\" scrolling=\"no\" title=\"\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/SS45Xpe5\/width\/869\/height\/698\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"869px\" height=\"698px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\nTobias Hammer, geogebra.org<\/pre>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background has-medium-font-size\"><strong>Alternativ:<\/strong><span style=\"color:#a31600\" class=\"has-inline-color\"> <\/span><strong><em><span style=\"color:#ff2200\" class=\"has-inline-color\">mit<\/span><\/em><\/strong> Funktionsvorschrift<\/p>\n\n\n\n<iframe loading=\"lazy\" scrolling=\"no\" title=\"Potenzfunktionen untersuchen f(x)=ax^n\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/v27pcnbp\/width\/984\/height\/854\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"984px\" height=\"854px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_2269\" class=\"pvc_stats all  \" data-element-id=\"2269\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p><div class=\"pvc_clear\"><\/div> ","protected":false},"excerpt":{"rendered":"<p>Ver\u00e4ndere die Werte f\u00fcr a, so nimmst du Einfluss Streckungen, Stauchungen und Spiegelung an der x-Achse. Ver\u00e4nderungen an n bewirken die Ver\u00e4nderung des Grades der Funktion und damit Art des Graphen(Symmetrie\/Asymmetrie) \\( y=ax^n \\) Tobias Hammer, geogebra.org Alternativ: mit Funktionsvorschrift<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_2269\" class=\"pvc_stats all  \" data-element-id=\"2269\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[967,59],"tags":[275,276,277,719,746,789,790,791,792,112,265],"class_list":["post-2269","post","type-post","status-publish","format-standard","hentry","category-potenzfunktion-funktionen","category-potenzfunktion","tag-parabel","tag-streckung","tag-stauchung","tag-symmetrisch","tag-potenzfunktion","tag-yaxn","tag-veraenderung","tag-parabelast","tag-asymmetrisch","tag-spiegelung","tag-graph"],"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/2269","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2269"}],"version-history":[{"count":1,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/2269\/revisions"}],"predecessor-version":[{"id":8056,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/2269\/revisions\/8056"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2269"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2269"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}