{"id":29071,"date":"2021-06-26T13:00:23","date_gmt":"2021-06-26T13:00:23","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29071"},"modified":"2024-09-22T07:40:43","modified_gmt":"2024-09-22T07:40:43","slug":"%d9%85%d8%ac%d8%a7%d9%84%d8%8c-%d9%85%d8%af%d9%89-%d9%88-%d8%aa%d9%85%d8%ab%d9%8a%d9%84-%d8%a8%d9%8a%d8%a7%d9%86%d9%8a-%d9%84%d9%84%d8%af%d9%88%d8%a7%d9%84-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%ac%d8%a7%d9%84%d8%8c-%d9%85%d8%af%d9%89-%d9%88-%d8%aa%d9%85%d8%ab%d9%8a%d9%84-%d8%a8%d9%8a%d8%a7%d9%86%d9%8a-%d9%84%d9%84%d8%af%d9%88%d8%a7%d9%84-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9\/","title":{"rendered":"\u0645\u062c\u0627\u0644\u060c \u0645\u062f\u0649 \u0648 \u062a\u0645\u062b\u064a\u0644 \u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629"},"content":{"rendered":"<p><center><\/p>\n<h1>\u0645\u062c\u0627\u0644\u060c \u0645\u062f\u0649 \u0648 \u062a\u0645\u062b\u064a\u0644 \u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629<\/h1>\n<p><em><strong>\u0645\u0644\u062e\u0635:<\/strong><br \/>\n   \u064a\u0642\u062f\u0645 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0648\u0627\u0644\u060c \u0645\u0639 \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0639\u0644\u0649 \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u064a\u062a\u0645 \u0645\u0631\u0627\u062c\u0639\u0629 \u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u0647\u0630\u0647 \u0627\u0644\u0639\u0646\u0627\u0635\u0631.<br \/>\n   <\/em><br \/>\n   <strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n   \u0641\u064a \u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u062a\u0639\u0631\u064a\u0641<\/strong> \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u062c\u0627\u0644 \u0648\u0645\u062f\u0649 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629.<\/li>\n<li><strong>\u0625\u0646\u0634\u0627\u0621<\/strong> \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a \u0644\u062a\u062d\u0644\u064a\u0644 \u0633\u0644\u0648\u0643 \u0627\u0644\u062f\u0648\u0627\u0644.<\/li>\n<\/ol>\n<p>   <\/center><\/p>\n<p>   <center><br \/>\n   <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/zhb8GKlcdA8\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n   <\/center><\/p>\n<h2>\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a<\/h2>\n<p style=\"text-align: justify;\">\u062d\u062a\u0649 \u0627\u0644\u0622\u0646\u060c \u0642\u0645\u0646\u0627 \u0628\u062f\u0631\u0627\u0633\u0629 \u0645\u0641\u0635\u0644\u0629 \u0625\u0644\u0649 \u062d\u062f \u0645\u0627 \u0639\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0648\u0645\u0627 \u0634\u0627\u0628\u0647\u0647\u0627. \u0643\u0645\u0627 \u062f\u0631\u0633\u0646\u0627 \u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0645\u062b\u0644 \u0627\u0644\u062e\u0637\u0648\u0637\u060c \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u060c \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0646\u0627\u0642\u0635 \u0648\u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u062d\u062f\u0648\u062f\u064a\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0628\u0634\u0643\u0644 \u0639\u0627\u0645. \u0627\u0644\u0622\u0646\u060c \u0628\u0639\u062f \u0623\u0646 \u0623\u0646\u062c\u0632\u0646\u0627 \u0630\u0644\u0643\u060c \u0633\u064a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0623\u0633\u0647\u0644 \u0627\u0644\u062f\u062e\u0648\u0644 \u0641\u064a \u0627\u0644\u062c\u0648\u0627\u0646\u0628 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u062f\u0648\u0627\u0644\u060c \u0648\u0647\u064a \u0645\u0627 \u0633\u0646\u0628\u062f\u0623 \u0628\u0645\u0631\u0627\u062c\u0639\u062a\u0647 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0642\u062f\u064a\u0645 \u0645\u0641\u0627\u0647\u064a\u0645 <strong>\u0627\u0644\u0645\u062c\u0627\u0644\u060c \u0648\u0627\u0644\u0645\u062f\u0649\u060c \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a<\/strong>.<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=306s\" target=\"_blank\" rel=\"noopener\"><strong>\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u062f\u0627\u0644\u0629<\/strong><\/a> \u0645\u0639\u0631\u0641\u0629 \u0628\u064a\u0646 \u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{matrix}f &amp; : &amp; A &amp; \\longrightarrow &amp; B \\\\ &amp; &amp; x &amp; \\longmapsto &amp; y=f(x)\n\n   \\end{matrix}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u062a\u0633\u0645\u0649 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u0627\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0645\u062c\u0645\u0648\u0639\u062a\u064a \u00ab\u0627\u0644\u0625\u062f\u062e\u0627\u0644\u00bb \u0648 \u00ab\u0627\u0644\u0625\u062e\u0631\u0627\u062c\u00bb \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a. \u0648\u0645\u0646 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u062a\u064f\u0639\u0631\u0651\u064e\u0641 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{x\\in A\\;|\\; (\\exists y \\in B)(y=f(x))\\}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(f) = \\{y\\in B\\;|\\; (\\exists ! x \\in Dom(f))(y=f(x))\\}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Graf(f) = \\{(x,y)\\in A\\times B\\;|\\; x\\in Dom(f) \\wedge y=f(x) \\}<\/span><\/span><\/p>\n<h2>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0623\u0645\u062b\u0644\u0629<\/h2>\n<p style=\"text-align: justify;\">\u0643\u0644 \u0645\u0627 \u064a\u0645\u0643\u0646 \u062a\u0639\u0644\u0645\u0647 \u062d\u0648\u0644 \u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0647\u0648 \u0641\u064a \u062c\u0648\u0647\u0631\u0647 \u0646\u0638\u0631\u064a\u0629\u060c \u0644\u0643\u0646 \u0627\u0644\u0641\u0647\u0645 \u064a\u0643\u0645\u0646 \u0628\u0634\u0643\u0644 \u0623\u0643\u0628\u0631 \u0641\u064a \u062a\u0637\u0648\u064a\u0631 \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629\u060c \u0648\u0647\u0630\u0627 \u0645\u0627 \u0633\u0646\u0642\u0648\u0645 \u0628\u0647 \u0627\u0644\u0622\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<h3>\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\sqrt{1-x^2}<\/span><\/span><\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=560s\" target=\"_blank\" rel=\"noopener\"><strong>\u0644\u0646\u0628\u062f\u0623 \u0647\u0630\u0627 \u0627\u0644\u062a\u062d\u0644\u064a\u0644<\/strong><\/a> \u0628\u0643\u062a\u0627\u0628\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y=f(x).<\/span><\/span> \u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u0630\u0644\u0643\u060c \u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y = \\sqrt{1-x^2}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0625\u0630\u0627 \u0631\u0641\u0639\u0646\u0627 \u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u060c \u0633\u0646\u0635\u0644 \u0633\u0631\u064a\u0639\u064b\u0627 \u0625\u0644\u0649 \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0624\u062f\u064a \u0625\u0644\u0649 \u0623\u0645\u0648\u0631 \u0646\u0639\u0631\u0641\u0647\u0627 \u0628\u0627\u0644\u0641\u0639\u0644<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n   &amp; y^2 = 1-x^2 \\\\\n\n   \\equiv &amp; x^2 + y^2 = 1 \\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0647\u0630\u0647 \u0647\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u0648\u062d\u062f\u0629.<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-DQGthMyBY6g\/YNVVrnVQEfI\/AAAAAAAAFOQ\/6_lf8fRQdDIT9NMqstyLOJ2F7nQM9pc8ACLcBGAsYHQ\/s0\/circulounitario.PNG\" alt=\"\u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u0648\u062d\u062f\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0644\u060c \u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\" class=\"aligncenter lazyload\" width=\"245\" height=\"249\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-DQGthMyBY6g\/YNVVrnVQEfI\/AAAAAAAAFOQ\/6_lf8fRQdDIT9NMqstyLOJ2F7nQM9pc8ACLcBGAsYHQ\/s0\/circulounitario.PNG\" alt=\"\u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u0648\u062d\u062f\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0644\u060c \u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\" class=\"aligncenter lazyload\" width=\"245\" height=\"249\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0644\u0643\u0646 \u0639\u0644\u064a\u0646\u0627 \u0623\u0646 \u0646\u0643\u0648\u0646 \u062d\u0630\u0631\u064a\u0646 \u0647\u0646\u0627\u060c \u0644\u0623\u0646\u0646\u0627 \u0639\u0646\u062f\u0645\u0627 \u0646\u0631\u0641\u0639 \u0625\u0644\u0649 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0646\u0643\u0648\u0646 \u0642\u062f \u00ab\u0623\u0636\u0641\u0646\u0627 \u0628\u0639\u0636 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a\u00bb. \u062c\u0628\u0631\u064a\u064b\u0627\u060c \u0647\u0646\u0627\u0643 \u0642\u064a\u0645\u062a\u0627\u0646 \u062a\u062d\u0642\u0642\u0627\u0646 \u0634\u0631\u0637 \u00ab\u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u00bb\u060c \u0644\u0643\u0646 \u0641\u064a \u0628\u062f\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u060c \u0627\u0644\u062c\u0630\u0631 \u0645\u062e\u0635\u0635 \u0643\u062f\u0627\u0644\u0629\u060c \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0644\u0627 \u062a\u0642\u0628\u0644 \u0625\u0644\u0627 \u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u062d\u062f\u0629. \u0646\u062a\u062d\u062f\u062b \u0647\u0646\u0627 \u0639\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u0631\u0626\u064a\u0633\u064a. \u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628\u060c \u064a\u0634\u064a\u0631 \u0627\u0644\u0637\u0631\u062d \u0627\u0644\u0623\u0635\u0644\u064a \u0641\u0642\u0637 \u0625\u0644\u0649 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0639\u0644\u0648\u064a \u0645\u0646 \u0627\u0644\u062f\u0627\u0626\u0631\u0629\u060c \u0648\u0644\u064a\u0633 \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u0643\u0627\u0645\u0644.<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-AxSf-9lgnuE\/YNVbSJpd-rI\/AAAAAAAAFOg\/0APXEMWIFpAm8DX9651iD6wcq5bTJwFoQCLcBGAsYHQ\/s0\/circulounitario%2B2.PNG\" alt=\"\u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u0648\u062d\u062f\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0644\u060c \u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\" class=\" aligncenter lazyload\" width=\"401\" height=\"361\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-AxSf-9lgnuE\/YNVbSJpd-rI\/AAAAAAAAFOg\/0APXEMWIFpAm8DX9651iD6wcq5bTJwFoQCLcBGAsYHQ\/s0\/circulounitario%2B2.PNG\" alt=\"\u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u0648\u062d\u062f\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0644\u060c \u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\" class=\" aligncenter lazyload\" width=\"401\" height=\"361\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0631\u0633\u0645\u060c \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{x\\in\\mathbb{R}\\;|\\; |x|\\leq 1\\} = [-1,1]<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(f) = \\{y\\in\\mathbb{R}\\;|\\; 0\\leq y\\leq 1\\} = [0,1]<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Graf(f) = \\{(x,y)\\in \\mathbb{R}\\times \\mathbb{R}\\;|\\; x\\in [-1,1] \\wedge y=\\sqrt{1-x^2}\\}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0646\u064a \u0623\u062c\u0631\u064a\u062a \u0647\u0630\u0627 \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0645\u0646 \u0645\u0646\u0638\u0648\u0631 \u0631\u0633\u0648\u0645\u064a\u060c \u0641\u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0646\u0647\u062c \u0623\u0643\u062b\u0631 \u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u0639\u0646\u064a\u0629.<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\color{red}{\\sqrt{{1-x^2}}}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0627\u0644\u062c\u0632\u0621 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1-x^2<\/span><\/span> \u0645\u0639\u0631\u0641 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.<\/p>\n<p style=\"text-align: justify;\">\u0644\u0643\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u064a\u0642\u0628\u0644 \u0641\u0642\u0637 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0623\u0643\u0628\u0631 \u0645\u0646 \u0623\u0648 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631.<\/p>\n<p style=\"text-align: justify;\">\u0645\u0646 \u0647\u0646\u0627\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rlrl}\n\n   x\\in Dom(f) &amp; \\leftrightarrow &amp; 0 &amp;\\leq 1-x^2 \\\\\n\n   {} &amp; \\leftrightarrow &amp; x^2 &amp;\\leq 1 \\\\\n\n   &amp; \\leftrightarrow &amp; |x| &amp;\\leq 1 \\\\\n\n   &amp; \\leftrightarrow &amp; -1 &amp;\\leq x \\leq 1 \\\\\n\n   \\end{array}\n\n   <\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n   \u0625\u0630\u0646:\\; Dom(f) = \\{x\\in \\mathbb{R}\\;|x| \\leq 1\\} = [-1,1]\n   <\/span>\n<p style=\"text-align: justify;\">\u0637\u0631\u0642 \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062f\u0649 \u062a\u0643\u0648\u0646 \u0639\u0627\u062f\u0629\u064b \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627\u061b \u064a\u062a\u0645 \u062d\u0644 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0628\u0633\u064a\u0637\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0648\u0644\u0643\u0646 \u0642\u0628\u0644 \u0645\u0631\u0627\u062c\u0639\u0629 \u0647\u0630\u0627 \u0627\u0644\u0645\u0648\u0636\u0648\u0639 \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644\u060c \u0645\u0646 \u0627\u0644\u0623\u0641\u0636\u0644 \u062f\u0631\u0627\u0633\u0629 \u062a\u0631\u0643\u064a\u0628 \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0623\u0628\u0633\u0637 \u0627\u0644\u0623\u062e\u0631\u0649 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0645\u062a\u064a\u0646. \u0641\u064a \u063a\u0636\u0648\u0646 \u0630\u0644\u0643\u060c \u0633\u062a\u063a\u0637\u064a \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0631\u0633\u0648\u0645\u064a\u0629 \u0627\u0644\u062a\u064a \u0633\u0646\u0631\u0627\u062c\u0639\u0647\u0627 \u0642\u0631\u064a\u0628\u064b\u0627 \u0645\u0639\u0638\u0645 \u0627\u0644\u0635\u0639\u0648\u0628\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0646\u0637\u0648\u064a \u0639\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062f\u0649.<\/p>\n<h3>\u062a\u062d\u0644\u064a\u0644: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g(x) =\\displaystyle \\frac{x^2 - 1}{x^2 + 1}<\/span><\/span><\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=1049s\" target=\"_blank\" rel=\"noopener\"><strong>\u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0633\u0631\u064a\u0639\u0629 \u0644\u0644\u0639\u062b\u0648\u0631<\/strong><\/a> \u0639\u0644\u0649 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u064a \u0627\u0644\u062a\u0633\u0627\u0624\u0644 \u0639\u0646 \u0627\u0644\u0642\u064a\u0645 <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u0627\u0644\u062a\u064a \u00ab\u062a\u0641\u0633\u062f \u0627\u0644\u062f\u0627\u0644\u0629\u00bb. \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0641\u0633\u062f \u0641\u0642\u0637 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 \u0635\u0641\u0631\u064b\u0627. \u0623\u064a:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n   \\begin{array}{rl}\n\n   &amp; x^2 + 1 = 0 \\\\\n\n   \\equiv &amp; x^2 = -1 \\\\\n\n   \\end{array}<\/span>\n<p style=\"text-align: justify;\">\u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646\u0647 \u0644\u0627 \u064a\u0648\u062c\u062f \u0639\u062f\u062f \u062d\u0642\u064a\u0642\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062d\u0642\u0642 \u0647\u0630\u0627 \u0627\u0644\u0634\u0631\u0637\u060c \u0641\u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n   \\color{blue}{Dom(g) = \\mathbb{R}}<\/span>\n<p style=\"text-align: justify;\">\u0639\u0627\u062f\u0629\u064b \u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0623\u0633\u0631\u0639 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u062f\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u064a \u0639\u0646 \u0637\u0631\u064a\u0642 \u0631\u0633\u0645 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0647\u0627\u061b \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0633\u064a\u0643\u0648\u0646 <a href=\"https:\/\/toposuranos.com\/algebra-de-polinomios-de-numeros-reais\/\" rel=\"noopener\" target=\"_blank\">\u0642\u0633\u0645\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u064a\u0627\u062a<\/a> \u0623\u062f\u0627\u0629 \u062c\u064a\u062f\u0629.<\/p>\n<p style=\"text-align: justify;\">\u0639\u0646\u062f \u0625\u062c\u0631\u0627\u0621 \u0642\u0633\u0645\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u064a\u0627\u062a\u060c \u0646\u0635\u0644 \u0625\u0644\u0649:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y= \\displaystyle\\frac{x^2-1}{x^2+1} = 1 -\\displaystyle\\frac{2}{x^2 + 1}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629\u060c \u0642\u0645\u0646\u0627 \u0628\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0625\u0644\u0649 \u062c\u0632\u0623\u064a\u0646 \u0623\u0628\u0633\u0637 \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639\u0647\u0645\u0627 \u0628\u0634\u0643\u0644 \u0623\u0633\u0647\u0644\u060c \u0648\u0647\u0645\u0627 \u00ab\u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0635\u062d\u064a\u062d\u00bb \u0648\u00bb\u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0643\u0633\u0631\u064a\u00bb. \u0631\u0633\u0645 \u0643\u0644 \u062c\u0632\u0621 \u0639\u0644\u0649 \u062d\u062f\u0629 \u0623\u0633\u0647\u0644 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0631\u0633\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u062f\u0641\u0639\u0629 \u0648\u0627\u062d\u062f\u0629.<\/p>\n<h3>\u062a\u062d\u0644\u064a\u0644: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h(x) =\\displaystyle \\frac{x - 1}{\\sqrt{x+1}}<\/span><\/span><\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=zhb8GKlcdA8&amp;t=1580s\" target=\"_blank\" rel=\"noopener\"><strong>\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062c\u0628\u0631\u064a <\/strong><\/a>\u0633\u064a\u0633\u0627\u0639\u062f \u0628\u0633\u0631\u0639\u0629 \u0641\u064a \u062a\u062d\u062f\u064a\u062f \u0645\u062c\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629. \u064a\u0643\u0641\u064a \u0623\u0646 \u0646\u0644\u0627\u062d\u0638 \u0623\u0646\u0647\u0627 \u0633\u062a\u0643\u0648\u0646 \u0645\u0639\u0631\u0641\u0629 \u062c\u064a\u062f\u064b\u0627 \u0645\u062a\u0649:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n   \\begin{array}{rrl}\n\n   &amp; 0 &amp; \\lt x + 1 \\\\\n\n   \\equiv &amp; -1 &amp; \\lt x \\\\\n\n   \\end{array}\n\n   <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0644\u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(h)=]-1,+\\infty[.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u0649\u060c \u0645\u0646 \u0627\u0644\u0645\u0641\u064a\u062f \u0631\u0633\u0645 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u060c \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0628\u0633\u0627\u0637\u0629\u060c \u0633\u0646\u0633\u062a\u062e\u062f\u0645 <strong>\u062c\u062f\u0648\u0644 \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a.<\/strong> \u062a\u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h(x)<\/span><\/span> \u0645\u0646 \u062c\u0632\u0623\u064a\u0646<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h(x)=\\displaystyle\\frac{\\color{green}{x-1}}{\\color{red}{\\sqrt{x+1}}}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u064a\u0635\u0628\u062d \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0639\u0644\u0648\u064a \u0635\u0641\u0631\u064b\u0627 \u0639\u0646\u062f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x=1<\/span><\/span>\u061b \u0623\u0645\u0627 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0633\u0641\u0644\u064a\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0643\u0648\u0646\u0647 \u0635\u0641\u0631\u064b\u0627 \u0639\u0646\u062f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x=-1<\/span><\/span>\u060c \u0641\u0625\u0646\u0647 \u064a\u0635\u0628\u062d \u063a\u064a\u0631 \u0645\u0639\u0631\u0641 \u0639\u0646\u062f\u0645\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\lt-1<\/span><\/span>. \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a\u060c \u0646\u0642\u0648\u0645 \u0628\u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">x<\/span><\/th>\n<th style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">-\\infty<\/span><\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">-1<\/span><\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">+1<\/span><\/span><\/th>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">+\\infty<\/span><\/span><\/th>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x-1<\/span><\/span><\/th>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">-\\infty <\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> - <\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{} - <\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> - <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{} +\\infty <\/span><\/span><\/td>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{x+1}<\/span><\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u0644\u0627\\,\u064a\u0648\u062c\u062f  <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u0644\u0627\\,\u064a\u0648\u062c\u062f <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{} + <\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{} + <\/span><\/span><\/td>\n<\/tr>\n<tr>\n<th style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{x-1}{\\sqrt{x+1}}<\/span><\/span><\/th>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \u0644\u0627\\,\u064a\u0648\u062c\u062f <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">{}\u0644\u0627\\,\u064a\u0648\u062c\u062f <\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> -\\infty <\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{} - <\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 0 <\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> + <\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{} +\\infty <\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0644\u0645\u0639\u0631\u0648\u0636\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062c\u062f\u0648\u0644\u060c \u0623\u0635\u0628\u062d \u0627\u0644\u0622\u0646 \u0645\u0646 \u0627\u0644\u0633\u0647\u0644 \u062c\u062f\u064b\u0627 \u0631\u0633\u0645 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629.<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-mWc6Hza3Wl0\/YNWMYho7pPI\/AAAAAAAAFO4\/0D8zrIeKcc8HY7hlWuvJOWDnYE6Zw--cQCLcBGAsYHQ\/s0\/grafico%2B2.PNG\" alt=\"\u0645\u062c\u0627\u0644\u060c \u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0645\u0639 \u062c\u062f\u0648\u0644 \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a\" class=\" aligncenter lazyload\" width=\"498\" height=\"310\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-mWc6Hza3Wl0\/YNWMYho7pPI\/AAAAAAAAFO4\/0D8zrIeKcc8HY7hlWuvJOWDnYE6Zw--cQCLcBGAsYHQ\/s0\/grafico%2B2.PNG\" alt=\"\u0645\u062c\u0627\u0644\u060c \u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0645\u0639 \u062c\u062f\u0648\u0644 \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a\" class=\" aligncenter lazyload\" width=\"498\" height=\"310\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0648\u0628\u0647\u0630\u0627\u060c \u064a\u0635\u0628\u062d \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0627\u0644\u0622\u0646 \u0623\u0645\u0631\u064b\u0627 \u062a\u0627\u0641\u0647\u064b\u0627:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Dom(h)=]-1,+\\infty[<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Rec(h)=\\mathbb{R}<\/span><\/span><\/p>\n<h3>\u062a\u0645\u0631\u064a\u0646 \u0645\u0642\u062a\u0631\u062d<\/h3>\n<p style=\"text-align: justify;\">\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u062f\u0648\u0627\u062a \u0627\u0644\u062a\u064a \u0642\u0645\u0646\u0627 \u0628\u0645\u0631\u0627\u062c\u0639\u062a\u0647\u0627 \u0644\u0644\u062a\u0648\u060c \u062d\u062f\u062f \u0645\u062c\u0627\u0644\u060c \u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F(x) = \\displaystyle\\frac{4x^3 + 6x^2 -2x + 1}{x^2-4}<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u062c\u0627\u0644\u060c \u0645\u062f\u0649 \u0648 \u062a\u0645\u062b\u064a\u0644 \u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0645\u0644\u062e\u0635: \u064a\u0642\u062f\u0645 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0648\u0627\u0644\u060c \u0645\u0639 \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0639\u0644\u0649 \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u064a\u062a\u0645 \u0645\u0631\u0627\u062c\u0639\u0629 \u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u0647\u0630\u0647 \u0627\u0644\u0639\u0646\u0627\u0635\u0631. \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645: \u0641\u064a \u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649: \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d. \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0644\u062a\u062d\u062f\u064a\u062f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":29058,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":14,"footnotes":""},"categories":[581,565],"tags":[],"class_list":["post-29071","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-581","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0645\u062c\u0627\u0644\u060c \u0645\u062f\u0649 \u0648 \u062a\u0645\u062b\u064a\u0644 \u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u0645\u062f\u0627\u0647\u0627\u060c \u0648\u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0627\u0644\u0628\u064a\u0627\u0646\u064a 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Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/29071","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=29071"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/29071\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/29058"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=29071"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=29071"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=29071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}