{"id":112976,"date":"2023-01-18T07:32:45","date_gmt":"2023-01-18T07:32:45","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/explore-transformations-on-rational-functions-using-the-interactive\/"},"modified":"2023-01-18T10:12:10","modified_gmt":"2023-01-18T10:12:10","slug":"explore-transformations-on-rational-functions-using-the-interactive","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/explore-transformations-on-rational-functions-using-the-interactive\/","title":{"rendered":"Explore transformations on rational functions using the interactive"},"content":{"rendered":"<div>\n<p>\u00a0A rational function is one that can be written as a polynomial divided \u00a0by a polynomial or the quotient of polynomials. Since polynomials are \u00a0defined everywhere, the <strong>domain <\/strong>of a rational function is the set of all numbers <strong>except <\/strong>the zeros of the denominator. The rational function <em>f(x)=<\/em> \u00a0can be transformed using methods similar to those used to transform \u00a0other types of functions as we saw in last week&#8217;s discussion.<\/p>\n<p>The purpose of this week\u2019s discussion is to explore transformations on rational functions using the interactive site <a href=\"https:\/\/www.desmos.com\/calculator\/3yrawetvrq\" target=\"_blank\" rel=\"nofollow noopener\">Desmos Interactive: Graph of Rational Function Version 2Links to an external site.<\/a>. Using the interactive site, make adjustments to a, b, c, and d (do at least three transformations\/changes).<\/p>\n<p><strong>In your original post<\/strong>, answer the following:<\/p>\n<ul>\n<li>Post screenshots of your three graphs.<\/li>\n<li>Answer the following questions:\n<ul>\n<li>How do the variables c and d affect the asymptotes? Which transformation rules were applied?<\/li>\n<li>How do the variables a and b affect the asymptotes? Which transformation rules were applied?<\/li>\n<li>In \u00a0your opinion, which transformation do you believe is less complicated \u00a0or easier to understand? Provide justification for your response.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0A rational function is one that can be written as a polynomial divided \u00a0by a polynomial or the quotient of polynomials. Since polynomials are \u00a0defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. The rational function f(x)= \u00a0can be transformed using methods similar to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25],"tags":[],"class_list":["post-112976","post","type-post","status-publish","format-standard","hentry","category-statistics"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/112976","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=112976"}],"version-history":[{"count":2,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/112976\/revisions"}],"predecessor-version":[{"id":113000,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/112976\/revisions\/113000"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=112976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=112976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=112976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}