{"id":207,"date":"2023-06-21T13:22:44","date_gmt":"2023-06-21T13:22:44","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-16\/"},"modified":"2023-06-21T13:22:44","modified_gmt":"2023-06-21T13:22:44","slug":"summary-review-16","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-16\/","title":{"raw":"Summary: Review","rendered":"Summary: Review"},"content":{"raw":"\n\n<h2>Key Concepts<\/h2>\n<ul>\n \t<li>A polynomial function is one whose equation contains only non-negative integer powers on the variable.<\/li>\n \t<li>The polynomial term containing the highest power on the variable is the leading term, and its degree is the number of the power. The leading coefficient of a polynomial is the coefficient of the leading term.<\/li>\n \t<li>The graph of a polynomial function describes a smooth, continuous curve.<\/li>\n \t<li>The domain of all polynomial functions is all real numbers.<\/li>\n \t<li>Even degree polynomial functions describe graphs whose ends both point up or both point down.<\/li>\n \t<li>Odd degree polynomial functions describe graphs whose ends points in opposite directions.<\/li>\n \t<li>The sign of the leading term will determine the direction of the ends of the graph:\n<ul>\n \t<li>even degree and positive coefficient: both ends point up<\/li>\n \t<li>even degree and negative coefficient: both ends point down<\/li>\n \t<li>odd degree and positive coefficient: the left-most end points down and the right-most end points up.<\/li>\n \t<li>odd degree and negative coefficient: the left-most end points up and the right-most end points down.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n \t<dt><strong>degree<\/strong><\/dt>\n \t<dd>the highest power of the polynomial<\/dd>\n \t<dt><strong>leading coefficient<\/strong><\/dt>\n \t<dd>the coefficient of the leading term<\/dd>\n \t<dt><strong>leading term<\/strong><\/dt>\n \t<dd>the term containing the highest power<\/dd>\n<\/dl>\n\n","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>A polynomial function is one whose equation contains only non-negative integer powers on the variable.<\/li>\n<li>The polynomial term containing the highest power on the variable is the leading term, and its degree is the number of the power. The leading coefficient of a polynomial is the coefficient of the leading term.<\/li>\n<li>The graph of a polynomial function describes a smooth, continuous curve.<\/li>\n<li>The domain of all polynomial functions is all real numbers.<\/li>\n<li>Even degree polynomial functions describe graphs whose ends both point up or both point down.<\/li>\n<li>Odd degree polynomial functions describe graphs whose ends points in opposite directions.<\/li>\n<li>The sign of the leading term will determine the direction of the ends of the graph:\n<ul>\n<li>even degree and positive coefficient: both ends point up<\/li>\n<li>even degree and negative coefficient: both ends point down<\/li>\n<li>odd degree and positive coefficient: the left-most end points down and the right-most end points up.<\/li>\n<li>odd degree and negative coefficient: the left-most end points up and the right-most end points down.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>degree<\/strong><\/dt>\n<dd>the highest power of the polynomial<\/dd>\n<dt><strong>leading coefficient<\/strong><\/dt>\n<dd>the coefficient of the leading term<\/dd>\n<dt><strong>leading term<\/strong><\/dt>\n<dd>the term containing the highest power<\/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-207\">\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-207","chapter","type-chapter","status-publish","hentry"],"part":202,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/207","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\/207\/revisions"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/parts\/202"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/207\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/media?parent=207"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=207"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/contributor?post=207"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/license?post=207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}