{"id":125,"date":"2014-11-18T22:07:13","date_gmt":"2014-11-18T22:07:13","guid":{"rendered":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=125"},"modified":"2014-11-18T22:20:50","modified_gmt":"2014-11-18T22:20:50","slug":"week-4-rational-functions-day-1","status":"publish","type":"post","link":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=125","title":{"rendered":"Week 4: Rational Functions &#8211; Day 1"},"content":{"rendered":"<p>Definition, Domain<\/p>\n<p>The definition of a rational function is: it can be written as a ratio of two polynomials.<\/p>\n<p>1. Suppose f(x) = 1\/x and g(x) = 1\/(x + 1). Are f(x) and g(x) both rational functions?<\/p>\n<p>2. Is h(x) = f(x) + g(x) from problem 1 above a rational function? Explain.<\/p>\n<p>3. What is the domain of f(x) = 1\/x?<\/p>\n<p>4. What is the domain of the rational function f(x) = (x &#8211; 1) \/ (x<sup>2<\/sup> + 1) ?<\/p>\n<p>5. What is the domain of h(x) = 1\/x + 1\/(x + 1)?<\/p>\n<p><a title=\"Week 4: Rational Functions \u2013 Answers\" href=\"https:\/\/blue-mathbelt.marjoriesayer.com\/?page_id=129\">Answers<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Definition, Domain The definition of a rational function is: it can be written as a ratio of two polynomials. 1. Suppose f(x) = 1\/x and g(x) = 1\/(x + 1). Are f(x) and g(x) both rational functions? 2. Is h(x) = f(x) + g(x) from problem 1 above a rational function? Explain. 3. What is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-125","post","type-post","status-publish","format-standard","hentry","category-rational-functions"],"_links":{"self":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/125","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=125"}],"version-history":[{"count":4,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/125\/revisions"}],"predecessor-version":[{"id":132,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/125\/revisions\/132"}],"wp:attachment":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}