{"id":1478,"date":"2024-05-24T17:06:38","date_gmt":"2024-05-24T17:06:38","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/?post_type=chapter&#038;p=1478"},"modified":"2025-01-08T17:55:49","modified_gmt":"2025-01-08T17:55:49","slug":"graphs-and-characteristics-of-basic-functions-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/graphs-and-characteristics-of-basic-functions-apply-it-1\/","title":{"raw":"Domain and Range: Apply It 1","rendered":"Domain and Range: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n \t<li>Determine the set of all possible input values for a function based on its equation<\/li>\r\n \t<li>Identify the set of all possible inputs (domain) and outputs (range) from looking at a graph<\/li>\r\n \t<li>Figure out the allowed inputs and outputs for the fundamental toolkit functions<\/li>\r\n \t<li>Sketch piecewise functions, showing each segment with its own rule on the graph<\/li>\r\n<\/ul>\r\n<\/section>In the digital age, streaming services collect vast amounts of data about how users interact with their platforms. Companies like Spotify, Apple Music, and others use mathematical functions to analyze listening patterns, set pricing strategies, and improve user experience. These functions must account for real-world limitations - you can't listen to a negative amount of music, and there are only so many hours in a day! Let's explore how domain and range concepts help streaming services make sense of their data.\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\r\n<p class=\"whitespace-pre-wrap break-words\">[ohm2_question hide_question_numbers=1]31804[\/ohm2_question]<\/p>\r\n\r\n<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">\r\n<p class=\"whitespace-pre-wrap break-words\">[ohm2_question hide_question_numbers=1]31805[\/ohm2_question]<\/p>\r\n\r\n<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31806[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31807[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Determine the set of all possible input values for a function based on its equation<\/li>\n<li>Identify the set of all possible inputs (domain) and outputs (range) from looking at a graph<\/li>\n<li>Figure out the allowed inputs and outputs for the fundamental toolkit functions<\/li>\n<li>Sketch piecewise functions, showing each segment with its own rule on the graph<\/li>\n<\/ul>\n<\/section>\n<p>In the digital age, streaming services collect vast amounts of data about how users interact with their platforms. Companies like Spotify, Apple Music, and others use mathematical functions to analyze listening patterns, set pricing strategies, and improve user experience. These functions must account for real-world limitations &#8211; you can&#8217;t listen to a negative amount of music, and there are only so many hours in a day! Let&#8217;s explore how domain and range concepts help streaming services make sense of their data.<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<p class=\"whitespace-pre-wrap break-words\"><iframe loading=\"lazy\" id=\"ohm31804\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31804&theme=lumen&iframe_resize_id=ohm31804&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<p class=\"whitespace-pre-wrap break-words\"><iframe loading=\"lazy\" id=\"ohm31805\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31805&theme=lumen&iframe_resize_id=ohm31805&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31806\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31806&theme=lumen&iframe_resize_id=ohm31806&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31807\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31807&theme=lumen&iframe_resize_id=ohm31807&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":12,"menu_order":18,"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\/1478"}],"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\/1478\/revisions"}],"predecessor-version":[{"id":7149,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1478\/revisions\/7149"}],"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\/1478\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/media?parent=1478"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=1478"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/contributor?post=1478"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/license?post=1478"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}