{"id":9135,"date":"2023-10-16T16:44:40","date_gmt":"2023-10-16T16:44:40","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=9135"},"modified":"2025-08-28T04:16:09","modified_gmt":"2025-08-28T04:16:09","slug":"function-basics-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/function-basics-apply-it-1\/","title":{"raw":"Function Basics: Apply It 1","rendered":"Function Basics: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Define what a function is and apply the vertical line test to identify functions<\/li>\r\n\t<li>Use function notation to represent and evaluate functions<\/li>\r\n\t<li>Recognize the graphs of fundamental toolkit functions<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Market Mechanics: Understanding Functions Through Data<\/h2>\r\n<p>Kai, a data analyst, is preparing a report on market trends for a large retail company. They need to use various functions to predict sales growth, analyze customer behavior, and optimize inventory management. Your task is to assist Kai by applying your knowledge of functions and their graphs to real-world data scenarios.<\/p>\r\n<center>\r\n[caption id=\"attachment_10433\" align=\"aligncenter\" width=\"500\"]<img class=\"wp-image-10433\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280.jpg\" alt=\"A tablet with various graphs and data\" width=\"500\" height=\"334\" \/> Figure 1. Using your knowledge of functions and graphs to help kai analyze her data[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>Kai's first challenge involves ensuring the correct representation of data. They show you a series of graphs and asks you to identify which ones represent functions.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13503[\/ohm2_question]<\/p>\r\n<\/section>\r\n<p>Having identified which graphs represent functions, Kai now needs to explain the characteristics of different types of functions to the marketing team to help them understand data trends.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13864[\/ohm2_question]<\/p>\r\n<\/section>\r\n<p>With the marketing team now having a better grasp of function types, Kai turns to the practical application of this knowledge. They have collected data on customer purchases and wants to represent this data accurately using function notation.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13865[\/ohm2_question]<\/p>\r\n<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Define what a function is and apply the vertical line test to identify functions<\/li>\n<li>Use function notation to represent and evaluate functions<\/li>\n<li>Recognize the graphs of fundamental toolkit functions<\/li>\n<\/ul>\n<\/section>\n<h2>Market Mechanics: Understanding Functions Through Data<\/h2>\n<p>Kai, a data analyst, is preparing a report on market trends for a large retail company. They need to use various functions to predict sales growth, analyze customer behavior, and optimize inventory management. Your task is to assist Kai by applying your knowledge of functions and their graphs to real-world data scenarios.<\/p>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_10433\" aria-describedby=\"caption-attachment-10433\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10433\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280.jpg\" alt=\"A tablet with various graphs and data\" width=\"500\" height=\"334\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280.jpg 1280w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280-300x200.jpg 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280-1024x683.jpg 1024w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280-768x512.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280-1200x801.jpg 1200w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280-65x43.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280-225x150.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/10\/07152406\/digital-marketing-1433427_1280-350x234.jpg 350w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><figcaption id=\"caption-attachment-10433\" class=\"wp-caption-text\">Figure 1. Using your knowledge of functions and graphs to help kai analyze her data<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Kai&#8217;s first challenge involves ensuring the correct representation of data. They show you a series of graphs and asks you to identify which ones represent functions.<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm13503\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13503&theme=lumen&iframe_resize_id=ohm13503&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<p>Having identified which graphs represent functions, Kai now needs to explain the characteristics of different types of functions to the marketing team to help them understand data trends.<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm13864\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13864&theme=lumen&iframe_resize_id=ohm13864&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<p>With the marketing team now having a better grasp of function types, Kai turns to the practical application of this knowledge. They have collected data on customer purchases and wants to represent this data accurately using function notation.<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm13865\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13865&theme=lumen&iframe_resize_id=ohm13865&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n","protected":false},"author":15,"menu_order":10,"template":"","meta":{"_candela_citation":"[{\"type\":\"copyrighted_video\",\"description\":\"digital-marketing-technology-\",\"author\":\"PhotoMIX - Company\",\"organization\":\"Pxabay\",\"url\":\"https:\/\/pixabay.com\/photos\/digital-marketing-technology-1433427\/\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":72,"module-header":"apply_it","content_attributions":[{"type":"copyrighted_video","description":"digital-marketing-technology-","author":"PhotoMIX - Company","organization":"Pxabay","url":"https:\/\/pixabay.com\/photos\/digital-marketing-technology-1433427\/","project":"","license":"pd","license_terms":""}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/9135"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":14,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/9135\/revisions"}],"predecessor-version":[{"id":15826,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/9135\/revisions\/15826"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/72"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/9135\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=9135"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=9135"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=9135"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=9135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}