{"id":2029,"date":"2022-12-12T10:05:42","date_gmt":"2022-12-12T09:05:42","guid":{"rendered":"https:\/\/mxth.dk\/?p=2029"},"modified":"2026-04-22T23:02:38","modified_gmt":"2026-04-22T21:02:38","slug":"bestemmelse-af-forskriften-for-en-eksponentialfunktion","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=2029","title":{"rendered":"Bestemmelse af forskriften for en eksponentiel funktion"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Vi vil her se p\u00e5 hvorledes forskriften for en eksponentiel funktion kan bestemmes n\u00e5r vi oplyses to punkter som funktionen g\u00e5r igennem.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Til at bestemme skal vi benytte to formler, en til at bestemme grundtallet a og en til at bestemme begyndelsesv\u00e6rdien b. <\/p>\n\n\n\n<p class=\" eplus-wrapper\">De to formler er som f\u00f8lger. Til at bestemme a benyttes<\/p>\n\n\n\n<p class=\" has-text-align-center eplus-wrapper\">$a=\\sqrt[x_2-x_1]{\\frac{y_2}{y_1}}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">og til at bestemme b benyttes<\/p>\n\n\n\n<p class=\" has-text-align-center eplus-wrapper\">$b=y_1\\cdot a^{-x_1}=\\frac{y_1}{a^{x_1}}$<\/p>\n\n\n\n<h4 class=\" wp-block-heading eplus-wrapper\" id=\"opgaver\">Opgaver<\/h4>\n\n\n\n<style>\n  table, th, td {\n    border: 1px solid black;\n    border-collapse: collapse;\n  }\n<\/style>\n<table width=\"100%\" border=\"1\">\n  <thead>\n    <tr>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#3CB371\">Gr\u00f8n<\/th>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#FFA500\">Gul<\/th>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#DC143C\">R\u00f8d<\/th>\n    <\/tr>\n  <\/thead>\n  <tbody>\n    <tr>\n      <td>\n        <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=1441#c13755\" taget=\"_blank\" rel=\"noopener\">matBhtx 8.53<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/matstxab1opgaver.systime.dk\/?id=171#c1190\" taget=\"_blank\" rel=\"noopener\">matAB1stx 5.18<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"\" taget=\"_blank\" rel=\"noopener\"><\/a><\/p>\n      <\/td>\n    <\/tr>\n    <tr>\n      <td>\n        <p><a href=\"https:\/\/matstxab1opgaver.systime.dk\/?id=171#c1187\" taget=\"_blank\" rel=\"noopener\">matAB1stx 5.15<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/matstxab1opgaver.systime.dk\/?id=173#c1279\" taget=\"_blank\" rel=\"noopener\">matAB1stx 5.51<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"\" taget=\"_blank\" rel=\"noopener\"><\/a><\/p>\n      <\/td>\n    <\/tr>\n    <tr>\n      <td>\n        <p><a href=\"https:\/\/matstxab1opgaver.systime.dk\/?id=171#c1188\" taget=\"_blank\" rel=\"noopener\">matAB1stx 5.16<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/matstxab1opgaver.systime.dk\/?id=173#c1280\" taget=\"_blank\" rel=\"noopener\">matAB1stx 5.52<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"\" taget=\"_blank\" rel=\"noopener\"><\/a><\/p>\n      <\/td>\n    <\/tr>\n    <tr>\n      <td>\n        <p><a href=\"https:\/\/matstxab1opgaver.systime.dk\/?id=171#c1189\" taget=\"_blank\" rel=\"noopener\">matAB1stx 5.17<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"\" taget=\"_blank\" rel=\"noopener\"><\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"\" taget=\"_blank\" rel=\"noopener\"><\/a><\/p>\n      <\/td>\n    <\/tr>\n  <\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Vi vil her se p\u00e5 hvorledes forskriften for en eksponentiel funktion kan bestemmes n\u00e5r vi oplyses to punkter som funktionen g\u00e5r igennem. Til at bestemme skal vi benytte to formler, en til at bestemme grundtallet a og en til at bestemme begyndelsesv\u00e6rdien b. De to formler er som f\u00f8lger. Til at bestemme a benyttes $a=\\sqrt[x_2-x_1]{\\frac{y_2}{y_1}}$ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[35,12,3],"tags":[67,74],"class_list":["post-2029","post","type-post","status-publish","format-standard","hentry","category-eksponentiel-funktion","category-funktioner","category-matematik","tag-hhx","tag-htx"],"featured_image_src":null,"author_info":{"display_name":"Henriksen","author_link":"https:\/\/mxth.dk\/?author=1"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2029","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2029"}],"version-history":[{"count":5,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2029\/revisions"}],"predecessor-version":[{"id":4177,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2029\/revisions\/4177"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}