{"id":68,"date":"2019-08-20T17:01:57","date_gmt":"2019-08-20T21:01:57","guid":{"rendered":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/chapter\/introduction-to-linear-functions\/"},"modified":"2022-06-01T10:39:24","modified_gmt":"2022-06-01T14:39:24","slug":"introduction-to-linear-functions","status":"publish","type":"chapter","link":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/chapter\/introduction-to-linear-functions\/","title":{"raw":"Introduction to Linear Functions","rendered":"Introduction to Linear Functions"},"content":{"raw":"<div id=\"CNX_Precalc_Figure_02_00_001\" class=\"wp-caption aligncenter\">\n\n[caption id=\"\" align=\"aligncenter\" width=\"975\"]<img src=\"https:\/\/cnx.org\/resources\/ab9ae8c1baf04f88efa903c8786123d977e38f06\/CNX_Precalc_Figure_02_00_001.jpg\" alt=\"An upward view of bamboo trees \" width=\"975\" height=\"650\"> <strong>Figure 1. <\/strong>A bamboo forest in China (credit: \"JFXie\"\/Flickr)[\/caption]\n\n<\/div>\n<p id=\"fs-id2052202\">Imagine placing a plant in the ground one day and finding that it has doubled its height just a few days later. Although it may seem incredible, this can happen with certain types of bamboo species. These members of the grass family are the fastest-growing plants in the world. One species of bamboo has been observed to grow nearly 1.5 inches every hour. <sup><a id=\"#footnote-ref1\" href=\"#footnote1\">1<\/a><\/sup> In a twenty-four hour period, this bamboo plant grows about 36 inches, or an incredible 3 feet! A constant rate of change, such as the growth cycle of this bamboo plant, is a linear function.<\/p>\n<p id=\"fs-id2058024\">Recall from <a class=\"target-chapter\" href=\"\/contents\/55f2e8ec-a982-4586-9d48-a2f43d7b4107\">Functions and Function Notation<\/a> that a function is a relation that assigns to every element in the domain exactly one element in the range. Linear functions are a specific type of function that can be used to model many real-world applications, such as plant growth over time. In this chapter, we will explore linear functions, their graphs, and how to relate them to data.<\/p>\n\n<div>\n<h3>Footnotes<\/h3>\n<ul>\n \t<li><a id=\"#footnote1\" href=\"#footnote-ref1\">1<\/a> http:\/\/www.guinnessworldrecords.com\/records-3000\/fastest-growing-plant\/<\/li>\n<\/ul>\n<\/div>","rendered":"<div id=\"CNX_Precalc_Figure_02_00_001\" class=\"wp-caption aligncenter\">\n<figure style=\"width: 975px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cnx.org\/resources\/ab9ae8c1baf04f88efa903c8786123d977e38f06\/CNX_Precalc_Figure_02_00_001.jpg\" alt=\"An upward view of bamboo trees\" width=\"975\" height=\"650\" \/><figcaption class=\"wp-caption-text\"><strong>Figure 1. <\/strong>A bamboo forest in China (credit: &#8220;JFXie&#8221;\/Flickr)<\/figcaption><\/figure>\n<\/div>\n<p id=\"fs-id2052202\">Imagine placing a plant in the ground one day and finding that it has doubled its height just a few days later. Although it may seem incredible, this can happen with certain types of bamboo species. These members of the grass family are the fastest-growing plants in the world. One species of bamboo has been observed to grow nearly 1.5 inches every hour. <sup><a id=\"#footnote-ref1\" href=\"#footnote1\">1<\/a><\/sup> In a twenty-four hour period, this bamboo plant grows about 36 inches, or an incredible 3 feet! A constant rate of change, such as the growth cycle of this bamboo plant, is a linear function.<\/p>\n<p id=\"fs-id2058024\">Recall from <a class=\"target-chapter\" href=\"\/contents\/55f2e8ec-a982-4586-9d48-a2f43d7b4107\">Functions and Function Notation<\/a> that a function is a relation that assigns to every element in the domain exactly one element in the range. Linear functions are a specific type of function that can be used to model many real-world applications, such as plant growth over time. In this chapter, we will explore linear functions, their graphs, and how to relate them to data.<\/p>\n<div>\n<h3>Footnotes<\/h3>\n<ul>\n<li><a id=\"#footnote1\" href=\"#footnote-ref1\">1<\/a> http:\/\/www.guinnessworldrecords.com\/records-3000\/fastest-growing-plant\/<\/li>\n<\/ul>\n<\/div>\n","protected":false},"author":291,"menu_order":1,"template":"","meta":{"pb_show_title":null,"pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-68","chapter","type-chapter","status-publish","hentry"],"part":67,"_links":{"self":[{"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/pressbooks\/v2\/chapters\/68","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/wp\/v2\/users\/291"}],"version-history":[{"count":1,"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/pressbooks\/v2\/chapters\/68\/revisions"}],"predecessor-version":[{"id":69,"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/pressbooks\/v2\/chapters\/68\/revisions\/69"}],"part":[{"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/pressbooks\/v2\/parts\/67"}],"metadata":[{"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/pressbooks\/v2\/chapters\/68\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/wp\/v2\/media?parent=68"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/pressbooks\/v2\/chapter-type?post=68"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/wp\/v2\/contributor?post=68"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/testinternalcloneforcomparison\/wp-json\/wp\/v2\/license?post=68"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}