{"id":4696,"date":"2022-09-01T12:39:56","date_gmt":"2022-09-01T10:39:56","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/funkce-priklad-5\/"},"modified":"2022-09-01T12:39:56","modified_gmt":"2022-09-01T10:39:56","slug":"funkce-priklad-5","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/funkce-priklad-5\/","title":{"rendered":"Funkce &#8211; p\u0159\u00edklad 5"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed: <\/strong>Graf kvadratick\u00e9 funkce <strong><em>f<\/em><\/strong> proch\u00e1z\u00ed body <strong><em>A [-5; 0], B [-4; 3],<\/em><\/strong> <em><strong>C [-3; 4]<\/strong><\/em>. Osa soum\u011brnosti <em><strong>o<\/strong><\/em> grafu kvadratick\u00e9 funkce<em><strong> f<\/strong><\/em> je ur\u010dena rovnic\u00ed <em><strong>x = -3<\/strong><\/em>.<\/p>\n<p style=\"text-align: center\" data-mce-style=\"text-align: center;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone  wp-image-4693\" src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5-300x278.png\" alt=\"\" width=\"384\" height=\"356\" data-mce-src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5-300x278.png\" srcset=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5-300x278.png 300w, https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5.png 388w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/p>\n<p>a) <strong>Zapi\u0161te sou\u0159adnice vrcholu V [x; y] grafu funkce f.<\/strong><br \/>b) <strong>V Kart\u00e9zsk\u00e9 soustav\u011b sou\u0159adnic Oxy sestrojte graf funkce f.<\/strong><br \/>c) <strong>Zapi\u0161te obor hodnot funkce f.<\/strong><\/p>\n<p style=\"text-align: center\" data-mce-style=\"text-align: center;\"><br data-mce-bogus=\"1\"><\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p><em>a) Sou\u0159adnice vrcholu V<\/em><\/p>\n<p style=\"text-align: center\" data-mce-style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone  wp-image-4694\" src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5.1-300x282.png\" alt=\"\" width=\"434\" height=\"407\" data-mce-src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5.1-300x282.png\" srcset=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5.1-300x282.png 300w, https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5.1.png 386w\" sizes=\"(max-width: 434px) 100vw, 434px\" \/><\/p>\n<p align=\"center\">V = C = [-3; 4]<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\"><em>b) Graf funkce f<\/em><\/p>\n<p style=\"text-align: center\" data-mce-style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone  wp-image-4695\" src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5.2.png\" alt=\"\" width=\"347\" height=\"359\" data-mce-src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/funkce-5.2.png\"><\/p>\n<p><em>c) Obor hodnot funkce f<\/em><\/p>\n<p align=\"center\">Vych\u00e1z\u00edme z bodu b), kde vid\u00edme, \u017ee:<\/p>\n<p align=\"center\">H (f) = (-\u221e; 4<span style=\"font-family: Cambria Math, serif\">\u232a<\/span><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">\u010casov\u00e1 n\u00e1ro\u010dnost: 4-5 minut <\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">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-4696","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 5 | 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-5\/\" \/>\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 5 | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: Graf kvadratick\u00e9 funkce f proch\u00e1z\u00ed body A [-5; 0], B [-4; 3], C [-3; 4]. Osa soum\u011brnosti o grafu kvadratick\u00e9 funkce f je ur\u010dena rovnic\u00ed x = -3. a) Zapi\u0161te sou\u0159adnice vrcholu V [x; y] grafu funkce f.b) V Kart\u00e9zsk\u00e9 soustav\u011b sou\u0159adnic Oxy sestrojte graf funkce f.c) Zapi\u0161te obor hodnot funkce f. \u0158e\u0161en\u00ed: a) ... 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