{"id":4241,"date":"2022-06-10T18:56:36","date_gmt":"2022-06-10T18:56:36","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4241"},"modified":"2022-06-10T18:56:36","modified_gmt":"2022-06-10T18:56:36","slug":"what-is-a-rational-function","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/10\/what-is-a-rational-function\/","title":{"rendered":"What is a Rational Function?"},"content":{"rendered":"\n<p>A&nbsp;<strong>rational function<\/strong>&nbsp;is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as&nbsp;<strong>f(x) = p(x)\/q(x),&nbsp;<\/strong>where p(x) and q(x) are polynomials such that q(x) \u2260 0. For example, f(x) = (x<sup>2<\/sup>&nbsp;+ x &#8211; 2) \/ (2x<sup>2<\/sup>&nbsp;&#8211; 2x &#8211; 3) is a rational function and here, 2x<sup>2<\/sup>&nbsp;&#8211; 2x &#8211; 3 \u2260 0.<\/p>\n\n\n\n<p>We know that every constant is a polynomial and hence the numerators of a rational function can be constants also. For example, f(x) = 1\/(3x+1) can be a rational function. But note that the denominators of rational functions cannot be constants. For example, f(x) = (2x + 3) \/ 4 is NOT a rational function, rather, it is a\u00a0linear function.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/mdr.foobrdigital.com\/wp-content\/uploads\/2022\/06\/rational-function-definition-and-examples-16421469.png\" alt=\"\" class=\"wp-image-4242\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A&nbsp;rational function&nbsp;is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as&nbsp;f(x) = p(x)\/q(x),&nbsp;where p(x) and q(x) are polynomials such that q(x) \u2260 0. For example, f(x) = (x2&nbsp;+ x &#8211; 2) \/ (2&#215;2&nbsp;&#8211; 2x &#8211; 3) is a rational [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[715],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4241"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=4241"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4241\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4241"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4241"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4241"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}