{"id":121,"date":"2023-06-21T13:22:35","date_gmt":"2023-06-21T13:22:35","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-5\/"},"modified":"2023-06-21T13:22:35","modified_gmt":"2023-06-21T13:22:35","slug":"summary-review-5","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-5\/","title":{"raw":"Summary: Review","rendered":"Summary: Review"},"content":{"raw":"\n\n<h2>Key Concepts<\/h2>\n<ul>\n \t<li>A function is a special relation in which each input corresponds to exactly one output. An input is called the independent value, and an output is called the dependent value.<\/li>\n \t<li>The set of all input values makes up the domain, and the set of all output variables makes up the range of the function.<\/li>\n \t<li>A function may be described using notation stating that the output <em>y<\/em> is dependent upon the input <em>x<\/em> by writing [latex]y = f(x)[\/latex].<\/li>\n \t<li>We may identify whether a relation represents a function from a table of values, a set of ordered pairs, or a graph.<\/li>\n \t<li>Functions may be evaluated for numerical or variable inputs<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n\n        <dt><strong>domain <\/strong><\/dt>\n \t<dd>the set of all input values into a function<\/dd>\n\n        <dt><strong>function&nbsp;<\/strong><\/dt>\n \t<dd>a specific type of relation in which each input value corresponds to one and only one output value.<\/dd>\n\n \t<dt><strong>function notation <\/strong><\/dt>\n \t<dd>a notation used for representing output as a function of input, [latex]y=f(x)[\/latex], that is <em>y is a function of x<\/em><\/dd> \t\n\n \t<dt><strong>range&nbsp;<\/strong><\/dt>\n \t<dd>the set of all output values of a function<\/dd>\n\n        <dt><strong>relation <\/strong><\/dt>\n \t<dd>a correspondence between sets of values or information<\/dd>\n\n \t<dt><strong>vertical line test <\/strong><\/dt>\n \t<dd>a method for determining graphically whether a relation represents a function<\/dd>\n\n<\/dl>\n\n","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>A function is a special relation in which each input corresponds to exactly one output. An input is called the independent value, and an output is called the dependent value.<\/li>\n<li>The set of all input values makes up the domain, and the set of all output variables makes up the range of the function.<\/li>\n<li>A function may be described using notation stating that the output <em>y<\/em> is dependent upon the input <em>x<\/em> by writing [latex]y = f(x)[\/latex].<\/li>\n<li>We may identify whether a relation represents a function from a table of values, a set of ordered pairs, or a graph.<\/li>\n<li>Functions may be evaluated for numerical or variable inputs<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>domain <\/strong><\/dt>\n<dd>the set of all input values into a function<\/dd>\n<dt><strong>function&nbsp;<\/strong><\/dt>\n<dd>a specific type of relation in which each input value corresponds to one and only one output value.<\/dd>\n<dt><strong>function notation <\/strong><\/dt>\n<dd>a notation used for representing output as a function of input, [latex]y=f(x)[\/latex], that is <em>y is a function of x<\/em><\/dd>\n<dt><strong>range&nbsp;<\/strong><\/dt>\n<dd>the set of all output values of a function<\/dd>\n<dt><strong>relation <\/strong><\/dt>\n<dd>a correspondence between sets of values or information<\/dd>\n<dt><strong>vertical line test <\/strong><\/dt>\n<dd>a method for determining graphically whether a relation represents a function<\/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-121\">\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":4,"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-121","chapter","type-chapter","status-publish","hentry"],"part":115,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/121","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\/121\/revisions"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/parts\/115"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/121\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/media?parent=121"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=121"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/contributor?post=121"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/license?post=121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}