{"id":188,"date":"2019-07-15T22:43:21","date_gmt":"2019-07-15T22:43:21","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakercollegealgebracorequisite\/chapter\/review-topics-for-success-3\/"},"modified":"2019-07-15T22:43:21","modified_gmt":"2019-07-15T22:43:21","slug":"review-topics-for-success-3","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/chapter\/review-topics-for-success-3\/","title":{"raw":"Review Topics for Success","rendered":"Review Topics for Success"},"content":{"raw":"\n<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\nBy the end of this section, you will be able to:\n<ul>\n \t<li>Define a function using tables<\/li>\n \t<li>Define a function from a set of ordered pairs<\/li>\n \t<li>Define the domain and range of a function given as a table or a set of ordered pairs<\/li>\n \t<li>Write functions using algebraic notation<\/li>\n \t<li>Use the vertical line test to determine whether a graph represents a function<\/li>\n \t<li>Given a function described by an equation, find function values (outputs) for numerical inputs<\/li>\n \t<li>Given a function described by an equation, find function values (outputs) for variable inputs<\/li>\n<\/ul>\n<\/div>\nIn this module you will investigate the general characteristics of mathematical functions. Functions describe special relationships called <em>relations<\/em> between sets of items or values. This ability to describe well-defined relations is useful for making mathematical models to predict behavior or outcomes in certain situations. \n\nBefore diving into a detailed investigation of functions, though, it will be good to build up an intuitive understanding of what they are. In this reveiw section we'll define what a function is and see the notation we use to write them. We'll also get an introduction to how functions are evaluated and how they appear on a graph. \n\nWarm up for this module by refreshing important concepts and skills you'll need for success.&nbsp;As you study these review topics, recall that you can also&nbsp;return to Algebra Essentials any time you need to refresh the basics.\n<div class=\"textbox examples\">\n<h3>Recall for success<\/h3>\nLook for red boxes like this one throughout the text. They'll show up just in time to give helpful&nbsp;reminders of the math you'll need, right where you'll need it.\n\n<\/div>\n","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Define a function using tables<\/li>\n<li>Define a function from a set of ordered pairs<\/li>\n<li>Define the domain and range of a function given as a table or a set of ordered pairs<\/li>\n<li>Write functions using algebraic notation<\/li>\n<li>Use the vertical line test to determine whether a graph represents a function<\/li>\n<li>Given a function described by an equation, find function values (outputs) for numerical inputs<\/li>\n<li>Given a function described by an equation, find function values (outputs) for variable inputs<\/li>\n<\/ul>\n<\/div>\n<p>In this module you will investigate the general characteristics of mathematical functions. Functions describe special relationships called <em>relations<\/em> between sets of items or values. This ability to describe well-defined relations is useful for making mathematical models to predict behavior or outcomes in certain situations. <\/p>\n<p>Before diving into a detailed investigation of functions, though, it will be good to build up an intuitive understanding of what they are. In this reveiw section we&#8217;ll define what a function is and see the notation we use to write them. We&#8217;ll also get an introduction to how functions are evaluated and how they appear on a graph. <\/p>\n<p>Warm up for this module by refreshing important concepts and skills you&#8217;ll need for success.&nbsp;As you study these review topics, recall that you can also&nbsp;return to Algebra Essentials any time you need to refresh the basics.<\/p>\n<div class=\"textbox examples\">\n<h3>Recall for success<\/h3>\n<p>Look for red boxes like this one throughout the text. They&#8217;ll show up just in time to give helpful&nbsp;reminders of the math you&#8217;ll need, right where you&#8217;ll need it.<\/p>\n<\/div>\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-188\">\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":17533,"menu_order":2,"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-188","chapter","type-chapter","status-publish","hentry"],"part":186,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/188","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":0,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/188\/revisions"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/parts\/186"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/188\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/media?parent=188"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=188"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/contributor?post=188"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/license?post=188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}