{"id":1443,"date":"2021-07-15T21:53:19","date_gmt":"2021-07-15T21:53:19","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/?post_type=chapter&#038;p=1443"},"modified":"2021-07-15T21:54:13","modified_gmt":"2021-07-15T21:54:13","slug":"module-6-summary-review","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/chapter\/module-6-summary-review\/","title":{"raw":"Module 6 Summary Review","rendered":"Module 6 Summary Review"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li>Division by [latex]0[\/latex] is undefined.<\/li>\r\n \t<li>Values of the input variable that would make the denominator of a rational expression equal to zero must be stated and excluded from the domain of a function containing the expression.<\/li>\r\n \t<li>To restrict the domain of a rational function, set the denominators each equal to zero. Solve for the variable in each denominator and exclude those solution sets.<\/li>\r\n \t<li>Taking an even root (e.g., a square root) of a negative number yields an unreal result.\r\n<ul>\r\n \t<li>Values of the input variable that would place a negative amount under an even root&nbsp;must be stated and excluded from the domain of a function containing the expression.<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>To restrict the domain of a function containing one radical, set the radicand greater than or equal to zero. Solve for the variable. The resulting solution set is the domain of the function.<\/li>\r\n \t<li>The domain of a function is read from the x-axis (the horizontal, or independent, axis) of the graph of the function.<\/li>\r\n \t<li>The range of a function is read from the y-axis (the vertical, or dependent axis) of the graph of the function.<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<dl>\r\n \t<dt><strong>domain <\/strong><\/dt>\r\n \t<dd>the set of all possible input into a function<\/dd>\r\n \t<dt><strong>radical function&nbsp;<\/strong><\/dt>\r\n \t<dd>a function containing a radical<\/dd>\r\n \t<dt><strong>radicand&nbsp;<\/strong><\/dt>\r\n \t<dd>the value underneath the radical sign<\/dd>\r\n \t<dt><strong>range <\/strong><\/dt>\r\n \t<dd>the set of all possible output from a function<\/dd>\r\n \t<dt><strong>rational function&nbsp;<\/strong><\/dt>\r\n \t<dd>a function containing a rational expression (a fraction)<\/dd>\r\n<\/dl>\r\n","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>Division by [latex]0[\/latex] is undefined.<\/li>\n<li>Values of the input variable that would make the denominator of a rational expression equal to zero must be stated and excluded from the domain of a function containing the expression.<\/li>\n<li>To restrict the domain of a rational function, set the denominators each equal to zero. Solve for the variable in each denominator and exclude those solution sets.<\/li>\n<li>Taking an even root (e.g., a square root) of a negative number yields an unreal result.\n<ul>\n<li>Values of the input variable that would place a negative amount under an even root&nbsp;must be stated and excluded from the domain of a function containing the expression.<\/li>\n<\/ul>\n<\/li>\n<li>To restrict the domain of a function containing one radical, set the radicand greater than or equal to zero. Solve for the variable. The resulting solution set is the domain of the function.<\/li>\n<li>The domain of a function is read from the x-axis (the horizontal, or independent, axis) of the graph of the function.<\/li>\n<li>The range of a function is read from the y-axis (the vertical, or dependent axis) of the graph of the function.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>domain <\/strong><\/dt>\n<dd>the set of all possible input into a function<\/dd>\n<dt><strong>radical function&nbsp;<\/strong><\/dt>\n<dd>a function containing a radical<\/dd>\n<dt><strong>radicand&nbsp;<\/strong><\/dt>\n<dd>the value underneath the radical sign<\/dd>\n<dt><strong>range <\/strong><\/dt>\n<dd>the set of all possible output from a function<\/dd>\n<dt><strong>rational function&nbsp;<\/strong><\/dt>\n<dd>a function containing a rational expression (a fraction)<\/dd>\n<\/dl>\n","protected":false},"author":167848,"menu_order":9,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1443","chapter","type-chapter","status-publish","hentry"],"part":1407,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1443","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/users\/167848"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1443\/revisions"}],"predecessor-version":[{"id":1444,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1443\/revisions\/1444"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/parts\/1407"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1443\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/media?parent=1443"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1443"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/contributor?post=1443"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/license?post=1443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}