{"id":4732,"date":"2022-01-29T12:46:19","date_gmt":"2022-01-29T04:46:28","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/function_and_graph-intutive_concepts-2\/"},"modified":"2025-04-07T20:48:51","modified_gmt":"2025-04-07T12:48:51","slug":"function_notation_and_representation","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/function_and_graph\/function_notation_and_representation\/","title":{"rendered":"\u51fd\u6578\u7684\u8a18\u6cd5\u53ca\u8868\u9039\u65b9\u6cd5"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"4732\" class=\"elementor elementor-4732\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6e6d9785 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6e6d9785\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-41dc1ba6\" data-id=\"41dc1ba6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f85ef80 elementor-widget elementor-widget-text-editor\" data-id=\"f85ef80\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>2.2 \u8a8d\u8b58 \u51fd\u6578\u7684\u8a18\u6cd5 \u53ca\u4f7f\u7528\u8868\u5217\u3001\u4ee3\u6578\u548c\u5716\u50cf\u65b9\u6cd5\u4f86\u8868\u9054\u51fd\u6578 (Recognise the Notation of Functions and Use Tabular, Algebraic and Graphical Methods to Represent Functions)<\/h2><p>\u569f\u5230\u4f9d\u5ea6\uff0c\u5927\u5bb6\u5c0d\u51fd\u6578\u90fd\u6709\u5497\u521d\u6b65\u5605\u8a8d\u8b58\u3002\u4f9d\u5bb6\u6b63\u5f0f\u5481\u8b1b\u5413 \u51fd\u6578\u7684\u8a18\u6cd5 \u540c\u57cb\u5e7e\u500b\u4e0d\u540c\u5605\u65b9\u6cd5\u569f\u8868\u9039\u4e00\u500b\u51fd\u6578\u3002<\/p><h3>2.2.1 \u51fd\u6578\u7684\u8a18\u6cd5<\/h3><ul><li>\u5047\u8a2d\u6709\u4e00\u500b\u51fd\u6578f<ul><li>\u4f62\u5605\u81ea\u8b8a\u91cf\u4fc2x \uff08\u4e2d\u5b78\u6587\u6191\u8a66\u4e2d\u61c9\u8a72\u53ea\u6703\u8003\u5f97\u4e00\u500b\u81ea\u8b8a\u91cf\u5605\u51fd\u6578\uff09<\/li><li>\u800c\u7d93\u51fd\u6578\u904b\u7b97\u5f8c\u5605\u61c9\u8b8a\u91cf\u4fc2y<\/li><\/ul><\/li><li>\u5481\u6211\u54cb\u5c31\u6703\u5c07\u4ee5\u4e0a\u5605\u95dc\u4fc2\u5beb\u505a\uff1a\u3000\u3000y = f(x)<ul><li>\u4f9d\u500b\u5c31\u4fc2 \u51fd\u6578\u7684\u8a18\u6cd5 \u3002\u4fc2\u54aa\u89ba\u5f97&#8221;\u6211\u90fd\u8b58\u5566&#8221;\u5462? \u5176\u5be6\u51fd\u6578\u771f\u4fc2\u5514\u96e3&#8230;.<\/li><\/ul><\/li><\/ul><p>\u00a0\u5b78\u8b58\u9ede\u5beb\u4e00\u500b\u51fd\u6578\u4e4b\u5f8c\u5c31\u4fc2\u5b78\u9ede\u8868\u9054\u500b\u51fd\u6578\u5605\u5167\u5bb9\u3002\u55ba\u4e0b\u9762\u5ea6\uff0c\u6211\u6703\u7528\u4e09\u7a2e\u65b9\u6cd5\u569f\u8868\u9054\u540c\u4e00\u500b\u51fd\u6578\u201cf(x)\u201d\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-433dae7 elementor-widget elementor-widget-text-editor\" data-id=\"433dae7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>2.2.2 \u4f7f\u7528\u4ee3\u6578\u4f86\u8868\u9054\u51fd\u6578<\/h3><p>\u4f9d\u500b\u65b9\u6cd5\u4fc2\u7528\u6578\u5b78\u516c\u5f0f\u5605\u5f62\u5f0f\u5c07\u51fd\u6578\u8868\u9039\u51fa\u569f\u3002<\/p><p>\u4f8b:\u00a0 f(x) = x<sup>2<\/sup> \u2013 x \u2013 6<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6cf37fa elementor-widget elementor-widget-text-editor\" data-id=\"6cf37fa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>2.2.3 \u4f7f\u7528\u8868\u5217\u4f86\u8868\u9054\u51fd\u6578<\/h3><p>\u4f9d\u500b\u65b9\u6cd5\u4fc2\u7528\u8868\u5c07\u6bcf\u4e00\u500bx\u503c\u540c\u4f62\u76f8\u61c9\u5605f(x)\u503c\u5217\u51fa\u569f\u3002<\/p><div><table class=\"resetAsStdTable\" style=\"width: 200px; margin-left: auto; margin-right: auto; border: 1px solid black;\"><tbody><tr><th width=\"88\">x<\/th><th width=\"88\">f(x)<\/th><\/tr><tr><td>1<\/td><td width=\"88\">-6<\/td><\/tr><tr><td>2<\/td><td width=\"88\">-4<\/td><\/tr><tr><td>2.5<\/td><td width=\"88\">-2.5<\/td><\/tr><tr><td>3<\/td><td width=\"88\">0<\/td><\/tr><\/tbody><\/table><ul><li>\u8981\u6574\u4e00\u500b\u5481\u5605\u8868\u5605\u6b65\u9a5f\u5982\u4e0b\uff1a<ul><li>\u9996\u5148\u756b\u4e00\u500b\u8868\u3002<\/li><li>\u7136\u5f8c\u5c07\u5514\u5230\u5605x\u503c(\u901a\u5e38\u7531\u7d30\u5230 \u5927)\u4ee3\u51fd\u6578\u5605\u4ee3\u6578\u5f0f(\u5373\u516c\u5f0f)\u5f97\u5230\u76f8\u61c9\u503c\u3002<\/li><li>\u5c07\u7e8c\u7d50\u679c\u586b\u5165\u500b\u8868\u5ea6\u3002<\/li><\/ul><\/li><\/ul><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bacd9dd elementor-widget elementor-widget-text-editor\" data-id=\"bacd9dd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>2.2.4 \u4f7f\u7528\u5716\u50cf\u65b9\u6cd5\u4f86\u8868\u9054\u51fd\u6578<\/h3><ul><li>\u6700\u5e38\u7528\u5605\u5716\u50cf\u65b9\u6cd5\u4e00\u5b9a\u4fc2\u66f2\u7dda\u5716\u3002<br \/><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-4785 aligncenter\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-curve_representation.webp\" alt=\"\u4ee5\u5716\u50cf\u8868\u9054\u51fd\u6578\" width=\"330\" height=\"358\" srcset=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-curve_representation.webp 330w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-curve_representation-277x300.webp 277w\" sizes=\"(max-width: 330px) 100vw, 330px\" \/><ul><li>\u756b\u66f2\u7dda\u5716\u7684\u6b65\u9a5f\u5982\u4e0b\uff1a<ul><li>\u5148\u6309\u4e0a\u9762&#8221;\u7528\u8868\u5217\u4f86\u8868\u9054\u51fd\u6578&#8221;\u5605\u65b9\u6cd5\u5217\u51fa\u4e00\u500b\u8868\u3002<\/li><li>\u628ay-\u8ef8\u5b9a\u70ba f(x)\u7684\u503c\uff0c\u5728\u683c\u4ed4\u7dda\u4e0a\u756b\u51fax-\u8ef8\u548cy-\u8ef8\u3002<\/li><li>\u628a\u8868\u4e0a\u5404\u4e00\u5217\u6240\u8868\u9054\u7684\u9ede\u6a19\u8a18\u5728\u683c\u4ed4\u7dda\u4e0a\u3002<\/li><li>\u628a\u5404\u9ede\u5229\u7528\u66f2\u7dda\u9023\u63a5\u8d77\u4f86\u3002<\/li><\/ul><\/li><\/ul><\/li><\/ul><ul><li>\u9664\u66f2\u7dda\u5716\u5916\uff0c\u6211\u54cb\u4ea6\u53ef\u4ee5\u7528\u4e0b\u9762\u7684\u5716\u50cf(\u7a31\u70ba\u6620\u5c04\u5716) \u569f\u8868\u9054\u51fd\u6578\uff08\u5176\u5be6\u500b\u5716\u5c31\u597d\u4f3c\u4e00\u500b\u8868\u683c\u5481\uff09\u3002<br \/><img decoding=\"async\" class=\"size-full wp-image-4786 aligncenter\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-set_mapping_representation.webp\" alt=\"\u51fd\u6578\u7684\u6620\u5c04\u5716\" width=\"511\" height=\"378\" srcset=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-set_mapping_representation.webp 511w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-set_mapping_representation-300x222.webp 300w\" sizes=\"(max-width: 511px) 100vw, 511px\" \/><\/li><\/ul><p>\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-332e54b4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"332e54b4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-181cbc7b\" data-id=\"181cbc7b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5673dee5 elementor-widget elementor-widget-text-editor\" data-id=\"5673dee5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i>\u00a0<a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/function_and_graph\/intutive_concepts_of_functions\/\">\u51fd\u6578\u7684\u76f4\u89c0\u6982\u5ff5<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-3d104953\" data-id=\"3d104953\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-7ccfedd6\" data-id=\"7ccfedd6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-514f5aac elementor-widget elementor-widget-text-editor\" data-id=\"514f5aac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: right;\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/function_and_graph\/graphcs_of_quadratic_functions\/\">\u4e8c\u6b21\u51fd\u6578\u5716\u50cf<\/a>\u00a0<i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4bfd21bc\" data-id=\"4bfd21bc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-20775dbc elementor-widget elementor-widget-sidebar\" data-id=\"20775dbc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"sidebar.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"sidebar-box widget-oceanwp-custom-menu custom-menu-widget clr\"><style type=\"text\/css\">.ocean_custom_menu-5 > ul > li > a, .custom-menu-widget .ocean_custom_menu-5 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-5.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">DSE\u6578\u5b78 &#8211; \u5fc5\u4fee\u90e8\u5206\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-5 left dropdown-hover\"><ul id=\"menu-dsemaths_core\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1744\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1744\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/course-analysis\/\" class=\"menu-link\">\u8ab2\u7a0b\u5206\u6790 (Core)<\/a><\/li>\n<li  id=\"menu-item-1745\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children dropdown menu-item-1745\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/\" class=\"menu-link\">\u5514\u597d\u4ee5\u70ba\u5514\u99db\u8003 &#8211; \u76ee\u9304 <span class=\"nav-arrow fa fa-angle-down\"><\/span><\/a>\n<ul class=\"sub-menu\">\n\t<li  id=\"menu-item-4067\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4067\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/solving-equation\/\" class=\"menu-link\">1. \u89e3\u65b9\u7a0b<\/a><\/li>\n\t<li  id=\"menu-item-4068\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4068\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/polynomials\/\" class=\"menu-link\">2. \u591a\u9805\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4069\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4069\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/laws-of-indices\/\" class=\"menu-link\">3. \u6307\u6578\u5b9a\u5f8b<\/a><\/li>\n\t<li  id=\"menu-item-4070\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4070\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/factorization\/\" class=\"menu-link\">4. \u56e0\u5f0f\u5206\u89e3<\/a><\/li>\n\t<li  id=\"menu-item-4071\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4071\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/formulae\/\" class=\"menu-link\">5. \u516c\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4072\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4072\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/percentage\/\" class=\"menu-link\">6. \u767e\u5206\u6cd5<\/a><\/li>\n\t<li  id=\"menu-item-4073\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4073\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/rate-and-ratio\/\" class=\"menu-link\">7. \u7387\u53ca\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4074\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4074\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/functions\/\" class=\"menu-link\">8. \u51fd\u6578<\/a><\/li>\n\t<li  id=\"menu-item-4075\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4075\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/estimation\/\" class=\"menu-link\">9. \u4f30\u7b97<\/a><\/li>\n\t<li  id=\"menu-item-4076\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4076\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/inequalities\/\" class=\"menu-link\">10. \u4e0d\u7b49\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4077\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4077\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/coordinates\/\" class=\"menu-link\">11. \u5750\u6a19<\/a><\/li>\n\t<li  id=\"menu-item-4079\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4079\"><a 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class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4083\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/16-statistics\/\" class=\"menu-link\">16. \u7d71\u8a08<\/a><\/li>\n<\/ul>\n<\/li>\n<li  id=\"menu-item-3231\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3231\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3241\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3241\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3246\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3246\"><a 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