{"id":4715,"date":"2022-09-01T13:47:26","date_gmt":"2022-09-01T11:47:26","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/funkce-priklad-6\/"},"modified":"2022-09-01T13:48:46","modified_gmt":"2022-09-01T11:48:46","slug":"funkce-priklad-6","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/funkce-priklad-6\/","title":{"rendered":"Funkce &#8211; p\u0159\u00edklad 6"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> Ur\u010dete sou\u0159adnice pr\u016fse\u010d\u00edku grafu funkce <em><strong>f<\/strong> <\/em>se sou\u0159adnicovou osou <em><strong>x<\/strong><\/em>:<br \/>$$P [ x_{p}; y_{p}]$$<br \/>$$f: y = 4 &#8211; 2cdot log_{3} x$$<\/p>\n<p><\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p>1) Za y si dosad\u00edme 0, pr\u016fse\u010d\u00edk se sou\u0159adnou osou x m\u00e1 y-ovou sou\u0159adnici v\u017edy rovnou nule, dosad\u00edme do funkce<br \/>$$P_{x} [ x; 0]$$<br \/>$$0 = 4 &#8211; 2 log_{3} x$$<br \/>3) Na jedn\u00e9 stran\u011b si ponech\u00e1me log x a na druhou si p\u0159esuneme \u010d\u00edsla $$2 log_{3} x = 4$$<\/p>\n<p>4) Vypo\u010d\u00edt\u00e1me pro 1 log $$log_{3} x = 2$$<\/p>\n<p>5) Vypo\u010d\u00edt\u00e1me (na kalkula\u010dce) $$x = 3^{2}$$<\/p>\n<p>6) Umocn\u00edme x, aby n\u00e1m nevych\u00e1zel v\u00fdsledek s mocnitelem x = 9 $$P_{x} [9; 0]$$<\/p>\n<p><br data-mce-bogus=\"1\"><\/p>\n<p>\u010casov\u00e1 n\u00e1ro\u010dnost: 4-5 minut<\/p>\n<p>Jedn\u00e1 se o p\u0159\u00edklad z maturitn\u00edho testu.<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-4715","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Funkce - p\u0159\u00edklad 6 | Studijni-svet.cz<\/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:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/funkce-priklad-6\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funkce - p\u0159\u00edklad 6 | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: Ur\u010dete sou\u0159adnice pr\u016fse\u010d\u00edku grafu funkce f se sou\u0159adnicovou osou x:$$P [ x_{p}; y_{p}]$$$$f: y = 4 &#8211; 2cdot log_{3} x$$ \u0158e\u0161en\u00ed: 1) Za y si dosad\u00edme 0, pr\u016fse\u010d\u00edk se sou\u0159adnou osou x m\u00e1 y-ovou sou\u0159adnici v\u017edy rovnou nule, dosad\u00edme do funkce$$P_{x} [ x; 0]$$$$0 = 4 &#8211; 2 log_{3} x$$3) Na jedn\u00e9 stran\u011b si ... 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