{"id":10851,"date":"2015-07-13T22:26:20","date_gmt":"2015-07-13T22:26:20","guid":{"rendered":"https:\/\/courses.candelalearning.com\/osprecalc\/?post_type=chapter&#038;p=10851"},"modified":"2015-08-24T18:33:14","modified_gmt":"2015-08-24T18:33:14","slug":"key-concepts-glossary","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/chapter\/key-concepts-glossary\/","title":{"raw":"Key Concepts &amp; Glossary","rendered":"Key Concepts &amp; Glossary"},"content":{"raw":"<h2 style=\"text-align: center;\"><span style=\"text-decoration: underline;\">Key Concepts<\/span><\/h2>\r\n<ul id=\"fs-id1165137591772\">\r\n\t<li>The domain of a function includes all real input values that would not cause us to attempt an undefined mathematical operation, such as dividing by zero or taking the square root of a negative number.<\/li>\r\n\t<li>The domain of a function can be determined by listing the input values of a set of ordered pairs.<\/li>\r\n\t<li>The domain of a function can also be determined by identifying the input values of a function written as an equation.<\/li>\r\n\t<li>Interval values represented on a number line can be described using inequality notation, set-builder notation, and interval notation.<\/li>\r\n\t<li>For many functions, the domain and range can be determined from a graph.<\/li>\r\n\t<li>An understanding of toolkit functions can be used to find the domain and range of related functions.<\/li>\r\n\t<li>A piecewise function is described by more than one formula.<\/li>\r\n\t<li>A piecewise function can be graphed using each algebraic formula on its assigned subdomain.<\/li>\r\n<\/ul>\r\n&nbsp;\r\n&nbsp;\r\n<h2 style=\"text-align: center;\"><span style=\"text-decoration: underline;\">Glossary<\/span><\/h2>\r\n<dl id=\"fs-id1165135445751\" class=\"definition\"><dt><strong>interval notation<\/strong><\/dt><dd id=\"fs-id1165135190252\">a method of describing a set that includes all numbers between a lower limit and an upper limit; the lower and upper values are listed between brackets or parentheses, a square bracket indicating inclusion in the set, and a parenthesis indicating exclusion<\/dd><\/dl><dl id=\"fs-id1165135487256\" class=\"definition\"><dt><strong>piecewise function<\/strong><\/dt><dd id=\"fs-id1165137452169\">a function in which more than one formula is used to define the output<\/dd><\/dl><dl id=\"fs-id1165137863188\" class=\"definition\"><dt><strong>set-builder notation<\/strong><\/dt><dd id=\"fs-id1165137863193\">a method of describing a set by a rule that all of its members obey; it takes the form [latex]\\left\\{x|\\text{statement about }x\\right\\}[\/latex]<\/dd><\/dl>","rendered":"<h2 style=\"text-align: center;\"><span style=\"text-decoration: underline;\">Key Concepts<\/span><\/h2>\n<ul id=\"fs-id1165137591772\">\n<li>The domain of a function includes all real input values that would not cause us to attempt an undefined mathematical operation, such as dividing by zero or taking the square root of a negative number.<\/li>\n<li>The domain of a function can be determined by listing the input values of a set of ordered pairs.<\/li>\n<li>The domain of a function can also be determined by identifying the input values of a function written as an equation.<\/li>\n<li>Interval values represented on a number line can be described using inequality notation, set-builder notation, and interval notation.<\/li>\n<li>For many functions, the domain and range can be determined from a graph.<\/li>\n<li>An understanding of toolkit functions can be used to find the domain and range of related functions.<\/li>\n<li>A piecewise function is described by more than one formula.<\/li>\n<li>A piecewise function can be graphed using each algebraic formula on its assigned subdomain.<\/li>\n<\/ul>\n<p>&nbsp;<br \/>\n&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"text-decoration: underline;\">Glossary<\/span><\/h2>\n<dl id=\"fs-id1165135445751\" class=\"definition\">\n<dt><strong>interval notation<\/strong><\/dt>\n<dd id=\"fs-id1165135190252\">a method of describing a set that includes all numbers between a lower limit and an upper limit; the lower and upper values are listed between brackets or parentheses, a square bracket indicating inclusion in the set, and a parenthesis indicating exclusion<\/dd>\n<\/dl>\n<dl id=\"fs-id1165135487256\" class=\"definition\">\n<dt><strong>piecewise function<\/strong><\/dt>\n<dd id=\"fs-id1165137452169\">a function in which more than one formula is used to define the output<\/dd>\n<\/dl>\n<dl id=\"fs-id1165137863188\" class=\"definition\">\n<dt><strong>set-builder notation<\/strong><\/dt>\n<dd id=\"fs-id1165137863193\">a method of describing a set by a rule that all of its members obey; it takes the form [latex]\\left\\{x|\\text{statement about }x\\right\\}[\/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-10851\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Precalculus. <strong>Authored by<\/strong>: Jay Abramson, et al.. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175\">http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download For Free at : http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175.<\/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":276,"menu_order":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Precalculus\",\"author\":\"Jay Abramson, et al.\",\"organization\":\"OpenStax\",\"url\":\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download For Free at : http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175.\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10851","chapter","type-chapter","status-publish","hentry"],"part":10717,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/pressbooks\/v2\/chapters\/10851","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/wp\/v2\/users\/276"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/pressbooks\/v2\/chapters\/10851\/revisions"}],"predecessor-version":[{"id":12560,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/pressbooks\/v2\/chapters\/10851\/revisions\/12560"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/pressbooks\/v2\/parts\/10717"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/pressbooks\/v2\/chapters\/10851\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/wp\/v2\/media?parent=10851"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/pressbooks\/v2\/chapter-type?post=10851"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/wp\/v2\/contributor?post=10851"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math\/wp-json\/wp\/v2\/license?post=10851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}