{"id":1529,"date":"2024-05-24T21:24:10","date_gmt":"2024-05-24T21:24:10","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/?post_type=chapter&#038;p=1529"},"modified":"2025-08-13T16:33:07","modified_gmt":"2025-08-13T16:33:07","slug":"piecewise-functions-and-rates-of-change-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/piecewise-functions-and-rates-of-change-apply-it-1\/","title":{"raw":"Rates of Change and Behavior of Graphs: Apply It 1","rendered":"Rates of Change and Behavior of Graphs: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n \t<li>Find the average rate of change of a function<\/li>\r\n \t<li>Identify parts of a graph where the function is going up, going down, or staying the same<\/li>\r\n \t<li>Identify the highest and lowest points, both overall and at specific spots, on a graph<\/li>\r\n<\/ul>\r\n<\/section>An Athletic Performance Data Analyst collects and interprets data to determine the most important insights that can maximize athlete health, performance, and wellbeing. This type of data analyst is likely to work with the toolkit functions and a variety of functions related to them. Step into the shoes of an Athletic Performance Data Analyst by completing the following tasks.\r\n\r\n[caption id=\"attachment_6777\" align=\"aligncenter\" width=\"300\"]<img class=\"wp-image-6777 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" \/> Bench press exercise; Photo by Ketut Subiyanto from Pexels[\/caption]\r\n\r\nOne of your goals is to help athletes and their coaches determine appropriate training regimens. You know from your data collection that a stress-recovery-adaptation model is helpful for athletes to improve their performance. This model involves doing an exercise, resting or going easy on the exercise for recovery, and then being able to return to the exercise with heightening intensity.\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31687[\/ohm2_question]<\/section>Next, apply the same analysis to the toolkit functions.\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31688[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31689[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31690[\/ohm2_question]<\/section>&nbsp;","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Find the average rate of change of a function<\/li>\n<li>Identify parts of a graph where the function is going up, going down, or staying the same<\/li>\n<li>Identify the highest and lowest points, both overall and at specific spots, on a graph<\/li>\n<\/ul>\n<\/section>\n<p>An Athletic Performance Data Analyst collects and interprets data to determine the most important insights that can maximize athlete health, performance, and wellbeing. This type of data analyst is likely to work with the toolkit functions and a variety of functions related to them. Step into the shoes of an Athletic Performance Data Analyst by completing the following tasks.<\/p>\n<figure id=\"attachment_6777\" aria-describedby=\"caption-attachment-6777\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6777 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-300x200.jpg 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-1024x682.jpg 1024w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-768x512.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-1536x1023.jpg 1536w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-65x43.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-225x150.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press-350x233.jpg 350w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/05\/16224958\/5.2_graphs_and_characteristics_of_basic_functions_bench_press.jpg 1600w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-6777\" class=\"wp-caption-text\">Bench press exercise; Photo by Ketut Subiyanto from Pexels<\/figcaption><\/figure>\n<p>One of your goals is to help athletes and their coaches determine appropriate training regimens. You know from your data collection that a stress-recovery-adaptation model is helpful for athletes to improve their performance. This model involves doing an exercise, resting or going easy on the exercise for recovery, and then being able to return to the exercise with heightening intensity.<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31687\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31687&theme=lumen&iframe_resize_id=ohm31687&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Next, apply the same analysis to the toolkit functions.<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31688\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31688&theme=lumen&iframe_resize_id=ohm31688&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31689\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31689&theme=lumen&iframe_resize_id=ohm31689&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31690\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31690&theme=lumen&iframe_resize_id=ohm31690&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>&nbsp;<\/p>\n","protected":false},"author":12,"menu_order":24,"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\/1529"}],"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":12,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1529\/revisions"}],"predecessor-version":[{"id":7657,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1529\/revisions\/7657"}],"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\/1529\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/media?parent=1529"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=1529"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/contributor?post=1529"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/license?post=1529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}