{"id":165,"date":"2023-06-21T13:22:39","date_gmt":"2023-06-21T13:22:39","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-7\/"},"modified":"2023-06-21T13:22:39","modified_gmt":"2023-06-21T13:22:39","slug":"summary-review-7","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-7\/","title":{"raw":"Summary: Review","rendered":"Summary: Review"},"content":{"raw":"\n\n<h2>Key Concepts<\/h2>\n<ul>\n \t<li>A linear function can be graphed by making a table of inputs and outputs then plotting them as points on a coordinate plane, then drawing a line between them.<\/li>\n        <li>The slope of the graph of a linear function can be calculated given any two ordered pairs [latex]\\left(x, f(x)\\right)[\/latex].<\/li>\n        <li>The slope of the graph of a linear function by examining whether the function values rise, fall, or remain constant as the function input increases.<\/li>\n        <li>The units for the rate of change are given in a ratio of input units over output units.<\/li>\n        <li>The slope of the graph of a linear function represents the rate of change in the function values over a given change in input.<\/li>\n         \t\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n        <dt><strong>average rate of change<\/strong><\/dt>\n        <dd>the slope of a line between two points on the graph of a function, calculated via a ratio of the change in function output over the corresponding change in function input<\/dd>\n \t<dt><strong>ordered pair <\/strong><\/dt>\n \t<dd>a coordinate pair of input and output, [latex]\\left(x, f(x)\\right)[\/latex]<\/dd>\t\n        <dt><strong>slope <\/strong><\/dt>\n \t<dd>a measurement of the steepness of a line graphed in the plane.<\/dd> \n        <dt><strong>slope-intercept form <\/strong><\/dt>\n \t<dd>[latex]y=mx+b[\/latex]<\/dd>\t\n\n        \n        \n        \n<\/dl>\n\n","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>A linear function can be graphed by making a table of inputs and outputs then plotting them as points on a coordinate plane, then drawing a line between them.<\/li>\n<li>The slope of the graph of a linear function can be calculated given any two ordered pairs [latex]\\left(x, f(x)\\right)[\/latex].<\/li>\n<li>The slope of the graph of a linear function by examining whether the function values rise, fall, or remain constant as the function input increases.<\/li>\n<li>The units for the rate of change are given in a ratio of input units over output units.<\/li>\n<li>The slope of the graph of a linear function represents the rate of change in the function values over a given change in input.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>average rate of change<\/strong><\/dt>\n<dd>the slope of a line between two points on the graph of a function, calculated via a ratio of the change in function output over the corresponding change in function input<\/dd>\n<dt><strong>ordered pair <\/strong><\/dt>\n<dd>a coordinate pair of input and output, [latex]\\left(x, f(x)\\right)[\/latex]<\/dd>\n<dt><strong>slope <\/strong><\/dt>\n<dd>a measurement of the steepness of a line graphed in the plane.<\/dd>\n<dt><strong>slope-intercept form <\/strong><\/dt>\n<dd>[latex]y=mx+b[\/latex]<\/dd>\n<\/dl>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-165\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":395986,"menu_order":5,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-165","chapter","type-chapter","status-publish","hentry"],"part":160,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/users\/395986"}],"version-history":[{"count":0,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/165\/revisions"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/parts\/160"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/165\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/media?parent=165"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=165"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/contributor?post=165"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/license?post=165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}