{"id":1433,"date":"2024-05-23T04:35:23","date_gmt":"2024-05-23T04:35:23","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/?post_type=chapter&#038;p=1433"},"modified":"2025-08-13T16:05:44","modified_gmt":"2025-08-13T16:05:44","slug":"introduction-to-functions-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/introduction-to-functions-apply-it-1\/","title":{"raw":"Introduction to Functions: Apply It 1","rendered":"Introduction to Functions: 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\nKai, 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.\r\n\r\nKai'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.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13503[\/ohm2_question]<\/section>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.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13864[\/ohm2_question]<\/section>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.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13865[\/ohm2_question]<\/section>After establishing the function notation for customer purchases, Kai moves on to analyze the impact of the advertising budget on sales. This requires evaluating a function that models this relationship.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13866[\/ohm2_question]<\/section>Next, Kai wants to visualize different growth trends to predict future sales. They ask for your help in matching descriptions of growth with the correct toolkit function graphs.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13867[\/ohm2_question]<\/section>Finally, Kai presents a graph that they suspect might not represent a function. They need your expertise to apply the vertical line test and verify their suspicion.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13868[\/ohm2_question]<\/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<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\"><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><\/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\"><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><\/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\"><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><\/section>\n<p>After establishing the function notation for customer purchases, Kai moves on to analyze the impact of the advertising budget on sales. This requires evaluating a function that models this relationship.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13866\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13866&theme=lumen&iframe_resize_id=ohm13866&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Next, Kai wants to visualize different growth trends to predict future sales. They ask for your help in matching descriptions of growth with the correct toolkit function graphs.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13867\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13867&theme=lumen&iframe_resize_id=ohm13867&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Finally, Kai presents a graph that they suspect might not represent a function. They need your expertise to apply the vertical line test and verify their suspicion.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13868\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13868&theme=lumen&iframe_resize_id=ohm13868&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":12,"menu_order":11,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":116,"module-header":"apply_it","content_attributions":[],"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\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1433"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/users\/12"}],"version-history":[{"count":8,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1433\/revisions"}],"predecessor-version":[{"id":7634,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1433\/revisions\/7634"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/parts\/116"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1433\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/media?parent=1433"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=1433"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/contributor?post=1433"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/license?post=1433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}