{"id":755,"date":"2021-02-15T15:20:21","date_gmt":"2021-02-15T15:20:21","guid":{"rendered":"https:\/\/otus.ru\/journal\/?p=755"},"modified":"2021-02-15T15:20:22","modified_gmt":"2021-02-15T15:20:22","slug":"grafiki-issledovanie-postroenie-algoritm","status":"publish","type":"post","link":"https:\/\/otus.ru\/journal\/grafiki-issledovanie-postroenie-algoritm\/","title":{"rendered":"\u0413\u0440\u0430\u0444\u0438\u043a\u0438: \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435, \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0435, \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u043d\u0435\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u0435 \u043e\u0431\u043e\u0439\u0442\u0438\u0441\u044c \u0431\u0435\u0437 <strong>\u043f\u0440\u0435\u0434\u0432\u0430\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f<\/strong> \u044d\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u0440\u0438\u0447\u0435\u043c \u043f\u043e\u043b\u043d\u043e\u0433\u043e. \u0418 \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0442\u043e\u043c, \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435, \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u044b\u0439 \u0433\u0440\u0430\u0444\u0438\u043a. \u041d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435 \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0435 \u0431\u044b\u0432\u0430\u0435\u0442 \u043a\u0430\u043a \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435\u0439, \u0442\u0430\u043a \u0438 \u0437\u0430\u0434\u0430\u0447\u0435\u0439, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u043e\u0439 \u0441 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u0439 (\u0432\u0441\u043f\u043e\u043c\u043e\u0433\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435\u0439), \u0442\u043e \u0435\u0441\u0442\u044c \u0432 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0435\u0447\u044c \u0438\u0434\u0435\u0442 \u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u043c\u0435\u0442\u043e\u0434\u043e\u043c. \u0418\u043c\u0435\u043d\u043d\u043e \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u0434\u043e \u043f\u043e\u043d\u0438\u043c\u0430\u0442\u044c, \u043a\u0430\u043a \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0438 \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0435.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u041a\u0430\u043a \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e? \u041e\u0441\u043d\u043e\u0432\u043d\u043e\u0439 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412\u0441\u044f \u0440\u0430\u0431\u043e\u0442\u0430 \u043f\u043e \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u044e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u043f\u043e\u044d\u0442\u0430\u043f\u043d\u043e, \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 <strong>\u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong>. \u0415\u0441\u043b\u0438 \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u043e\u043c\u0443 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0443, \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043e\u0448\u0438\u0431\u043a\u0438 \u0431\u0443\u0434\u0435\u0442 \u0441\u0432\u0435\u0434\u0435\u043d\u0430 \u043a \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0443.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u043b\u044f \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e <em>y<\/em><em> = <\/em><em>f<\/em><em>(<\/em><em>x<\/em><em>)<\/em>. \u041f\u043e\u0448\u0430\u0433\u043e\u0432\u0430\u044f \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li><strong>\u041d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<\/strong> \u0444\u0443\u043d\u043a\u0446\u0438\u0438 D(f). \u0420\u0435\u0447\u044c \u0438\u0434\u0435\u0442 \u043e\u0431 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u043e\u0432, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u044d\u0442\u0430 function \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442.<\/li><li><strong>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0447\u0435\u0442\u043d\u043e\u0441\u0442\u0438 \u0438\u043b\u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0441\u0442\u0438<\/strong>. \u041a\u043e\u0433\u0434\u0430 \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0443\u043b\u044f (\u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <em>x<\/em>\u00a0\u0438\u0437 <em>D(f)<\/em> \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 <em>-x<\/em> \u0442\u043e\u0436\u0435 \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f), \u043d\u0430\u0434\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0443 \u043d\u0430 <strong>\u0447\u0435\u0442\u043d\u043e\u0441\u0442\u044c<\/strong>. \u041a \u043f\u0440\u0438\u043c\u0435\u0440\u0443, \u043a\u043e\u0433\u0434\u0430 <em>f(-x)<\/em> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0439 <em>f(x)<\/em>, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0447\u0435\u0442\u043d\u0430\u044f (\u043a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u0438\u0434\u0430 <em>y = x <sup>2<\/sup><\/em> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0447\u0435\u0442\u043d\u043e\u0439). \u0412\u0430\u0436\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0438\u043c\u0435\u0435\u0442 \u0444\u0430\u043a\u0442 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e <strong>\u0433\u0440\u0430\u0444\u0438\u043a \u0447\u0435\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u043c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 OY<\/strong>. \u0410 \u0432\u043e\u0442 \u0435\u0441\u043b\u0438 <em>f(-x)<\/em> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <em>-f(x)<\/em>, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u043e \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0441\u0442\u0438 (\u0434\u043b\u044f \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0441\u0442\u0438 \u043c\u043e\u0436\u043d\u043e \u0432\u0441\u043f\u043e\u043c\u043d\u0438\u0442\u044c <em>y = x<sup>3<\/sup><\/em>). \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 <strong>\u0433\u0440\u0430\u0444\u0438\u043a \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u043d<\/strong> <strong>\u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. <\/strong>\u041a\u043e\u0433\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441\u0447\u0438\u0442\u0430\u044e\u0442 \u0447\u0435\u0442\u043d\u043e\u0439 \u043b\u0438\u0431\u043e \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439, \u0435\u0441\u0442\u044c \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0447\u0430\u0441\u0442\u044c \u0435\u0435 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0434\u043b\u044f <em>x \u2a7e\u00a00<\/em>,\u00a0\u0430 \u043f\u043e\u0442\u043e\u043c \u043e\u0442\u0440\u0430\u0437\u0438\u0442\u044c \u0435\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c.<\/li><li><strong>\u041d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044f\u043c\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442<\/strong>. \u0420\u0435\u0447\u044c \u0438\u0434\u0435\u0442 \u043e \u0442\u043e\u0447\u043a\u0430\u0445 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <em>y = f(x) <\/em>\u0441 OX \u2014 \u043e\u0441\u044c\u044e \u0430\u0431\u0441\u0446\u0438\u0441\u0441. \u0427\u0442\u043e\u0431\u044b \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u043d\u0430\u0434\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 <em>f(x) = 0<\/em>. \u041a\u043e\u0440\u043d\u0438 \u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0443\u0442 <strong>\u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0430\u043c\u0438 \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0441 \u043e\u0441\u044c\u044e \u041e\u0425<\/strong>. \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 <strong>\u0442\u043e\u0447\u043a\u0443 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0441 OY<\/strong> (\u043e\u0441\u044c\u044e \u043e\u0440\u0434\u0438\u043d\u0430\u0442) \u043d\u0430\u0434\u043e \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u0440\u0438 <em>x = 0.<\/em><\/li><li><strong>\u041d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u043e\u0432 \u0437\u043d\u0430\u043a\u043e\u043f\u043e\u0441\u0442\u043e\u044f\u043d\u0441\u0442\u0432\u0430<\/strong>. \u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0432\u0430\u0436\u043d\u044b\u0439 \u0448\u0430\u0433. \u0417\u0434\u0435\u0441\u044c \u043d\u0430\u0434\u043e \u043d\u0430\u0439\u0442\u0438 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0438, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043d\u0430\u0448\u0430 \u0444-\u044f \u0441\u043e\u0445\u0440\u0430\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a. \u042d\u0442\u043e \u043f\u043e\u0442\u0440\u0435\u0431\u0443\u0435\u0442\u0441\u044f \u0432 \u0434\u0430\u043b\u044c\u043d\u0435\u0439\u0448\u0435\u043c \u0432 \u0446\u0435\u043b\u044f\u0445 \u043a\u043e\u043d\u0442\u0440\u043e\u043b\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u044f \u043d\u0430\u0448\u0435\u0433\u043e \u0433\u0440\u0430\u0444\u0438\u043a\u0430. \u0414\u043b\u044f \u043e\u0431\u043d\u0430\u0440\u0443\u0436\u0435\u043d\u0438\u044f \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u043e\u0432 \u0437\u043d\u0430\u043a\u043e\u043f\u043e\u0441\u0442\u043e\u044f\u043d\u0441\u0442\u0432\u0430 \u043d\u0430\u0434\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0442\u0430\u043a\u0438\u0435 \u043d\u0435\u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430, \u043a\u0430\u043a <em>f(x) > 0<\/em> \u0438 <em>f(x) &lt; 0<\/em>.<\/li><li><strong>\u041f\u043e\u0438\u0441\u043a \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442<\/strong>. \u0410\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \u2014 \u043f\u0440\u044f\u043c\u0430\u044f, \u043a \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0430\u0435\u0442\u0441\u044f \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u0435\u043b\u0430\u044f \u044d\u0442\u043e \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u0431\u043b\u0438\u0437\u043a\u043e. \u0411\u044b\u0432\u0430\u044e\u0442 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b, \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b, \u043d\u0430\u043a\u043b\u043e\u043d\u043d\u044b\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b. \u041f\u043e\u0434\u0440\u043e\u0431\u043d\u0435\u0435 \u043d\u0430 \u044d\u0442\u0443 \u0442\u0435\u043c\u0443 \u0447\u0438\u0442\u0430\u0439\u0442\u0435 <a href=\"https:\/\/ege-ok.ru\/2013\/11\/12\/asimptotyi-grafika-funktsii\">\u0437\u0434\u0435\u0441\u044c<\/a>.<\/li><li><strong>\u041d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0438\u043e\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong> (\u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 \u0441\u043f\u0440\u0430\u0432\u0435\u0434\u043b\u0438\u0432\u043e \u0434\u043b\u044f \u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439). \u0422\u0430\u043a\u0436\u0435 \u0441\u0442\u043e\u0438\u0442 \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u0444-\u044f \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f, \u0442\u043e \u043d\u0430\u0434\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u043e\u043d\u0430 \u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043b\u0438\u0431\u043e \u043d\u0435\u0442.<\/li><li><strong>\u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439<\/strong>. \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u043f\u043e\u0438\u0441\u043a\u0435 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u043e\u0432 \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044f \u0438 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044f \u0438 \u043f\u043e\u0438\u0441\u043a\u0435 \u0442\u043e\u0447\u0435\u043a \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430 (\u0442\u043e\u0447\u0435\u043a \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430 \u0438 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430). \u042d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u0430) \u0438\u0449\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <em>f<\/em><em>(<\/em><em>x<\/em><em>)<\/em>;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0431) \u0432\u0442\u043e\u0440\u043e\u0439 \u044d\u0442\u0430\u043f \u2014 \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u043d\u0438\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u043a \u043d\u0443\u043b\u044e \u0441 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435\u043c \u043a\u043e\u0440\u043d\u0435\u0439 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f <em>f<\/em><em>(<\/em><em>x<\/em><em>) = 0 <\/em>\u2014 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u0441\u0442\u0430\u0446\u0438\u043e\u043d\u0430\u0440\u043d\u044b\u0435 \u0442\u043e\u0447\u043a\u0438;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0432) \u0442\u0440\u0435\u0442\u0438\u0439 \u0448\u0430\u0433 \u2014 \u043d\u0430\u0439\u0442\u0438 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0438 \u0437\u043d\u0430\u043a\u043e\u043f\u043e\u0441\u0442\u043e\u044f\u043d\u0441\u0442\u0432\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0438, \u0433\u0434\u0435 <strong>\u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439, \u2014 \u044d\u0442\u043e \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0438 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044f<\/strong>, \u0433\u0434\u0435 \u043e\u043d\u0430 <strong>\u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430 \u2014 \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044f<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e\u0447\u043a\u0438, \u0433\u0434\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0441 \u00ab+\u00bb \u043d\u0430 \u00ab-\u00bb \u2014 <strong>\u0442\u043e\u0447\u043a\u0438 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430<\/strong>, \u0435\u0441\u043b\u0438 \u0436\u0435 \u0441 \u043c\u0438\u043d\u0443\u0441\u0430 \u043d\u0430 \u043f\u043b\u044e\u0441 \u2014 \u044d\u0442\u043e <strong>\u0442\u043e\u0447\u043a\u0438 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">8. \u041f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u0448\u0430\u0433 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u2014 <strong>\u043f\u043e\u0438\u0441\u043a \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0433\u0438\u0431\u0430 \u0438 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u043e\u0432 \u0432\u043e\u0433\u043d\u0443\u0442\u043e\u0441\u0442\u0438 \u0438 \u0432\u044b\u043f\u0443\u043a\u043b\u043e\u0441\u0442\u0438<\/strong>. \u042d\u0442\u0430 \u0442\u0435\u043c\u0430 \u043d\u0435\u043f\u043b\u043e\u0445\u043e \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0430 \u0432\u043e\u0442 \u0432 <a href=\"https:\/\/ege-ok.ru\/2013\/11\/15\/tochki-peregiba-i-promezhutki-vyipuklosti-i-vognutosti-grafika-funktsii\">\u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0434\u0435\u0435\u043c\u0441\u044f, \u0447\u0442\u043e \u043c\u0430\u0442\u0435\u0440\u0438\u0430\u043b \u0431\u044b\u043b \u043f\u043e\u043b\u0435\u0437\u0435\u043d, \u0438 \u0443 \u0432\u0430\u0441 \u043d\u0435 \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u0435\u0442 \u043f\u0440\u043e\u0431\u043b\u0435\u043c \u0441 \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u0432. \u0418 \u043d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u043b\u0435\u0437\u043d\u0430 \u0432 IT-\u0441\u0444\u0435\u0440\u0435, \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e \u0432 Data Science. \u0415\u0441\u043b\u0438 \u0436\u0435 \u0432\u044b \u0447\u0443\u0432\u0441\u0442\u0432\u0443\u0435\u0442\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u0438\u0442\u044c \u0441\u0432\u043e\u0438 \u0437\u043d\u0430\u043d\u0438\u044f \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u043e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043d\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0439 \u043a\u0443\u0440\u0441 \u0432 OTUS:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/otus.ru\/lessons\/math-ds-advanced\/?utm_source=oj&amp;utm_medium=affilate&amp;utm_campaign=math_ds\"><img loading=\"lazy\" decoding=\"async\" width=\"970\" height=\"90\" src=\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/02\/Math_DS_970x90.jpg\" alt=\"\u0413\u0440\u0430\u0444\u0438\u043a\u0438: \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435, \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0435, \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\" class=\"wp-image-758\" srcset=\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/02\/Math_DS_970x90.jpg 970w, https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/02\/Math_DS_970x90-300x28.jpg 300w, https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/02\/Math_DS_970x90-150x14.jpg 150w, https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/02\/Math_DS_970x90-768x71.jpg 768w\" sizes=\"auto, (max-width: 970px) 100vw, 970px\" \/><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"ImageObject\",\"url\":\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/02\/Math_DS_970x90.jpg\",\"width\":\"970\",\"height\":\"90\"}<\/script><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a\u0438:<\/em><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><em>https:\/\/ege-ok.ru\/2013\/11\/12\/issledovanie-funktsii-i-postroenie-grafika;<\/em><\/li><li><em>https:\/\/www.matburo.ru\/ex_ma.php?p1=maissl;<\/em><\/li><li><em>http:\/\/matecos.ru\/mat\/matematika\/issledovanie-funktsii-i-postroenie-grafika-funktsii.html.<\/em><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0415\u0441\u043b\u0438 \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u043d\u0435\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0439 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