{"id":565,"date":"2020-09-29T14:47:04","date_gmt":"2020-09-29T12:47:04","guid":{"rendered":"https:\/\/www.pealfa.duckdns.org\/wordpress\/?p=565"},"modified":"2020-09-29T14:47:04","modified_gmt":"2020-09-29T12:47:04","slug":"asintotas-de-una-funcion-racional","status":"publish","type":"post","link":"https:\/\/www.pealfa.duckdns.org\/wordpress\/?p=565","title":{"rendered":"As\u00edntotas de una funci\u00f3n racional"},"content":{"rendered":"<p>En esta entrada vamos a obtener las as\u00edntotas de la gr\u00e1fica de una funci\u00f3n racional definida a trav\u00e9s de su f\u00f3rmula.<\/p>\n<fieldset style=\"border: 1px solid #8A0808;\">\n<p>Sea la funci\u00f3n \\(f\\) definida por<\/p>\n<p>\\[f\\left(x\\right)=\\frac{2x^2+5}{x-1}\\qquad , \\qquad (x\\neq1) \\]<br \/>\nObtengamos las as\u00edntotas de su gr\u00e1fica.<br \/>\n<\/fieldset>\n<p><\/p>\n<p>Con Geogebra es algo inmediato. En la Vista Algebraica o CAS introducimos la f\u00f3rmula de la funci\u00f3n (usamos := para definir) y a continuaci\u00f3n basta escribir \u00abAs\u00edntota(f)\u00bb. Nos aparecer\u00e1 la lista de las as\u00edntotas y en la Vista Gr\u00e1fica, si la tenemos activa, observaremos tanto la gr\u00e1fica como sus as\u00edntotas<\/p>\n<p>Pero si deseamos hacerlo por nosotros mismos, en el siguiente v\u00eddeo puedes ver una resoluci\u00f3n con todas las claves. Lo ideal es ir trabajando a la vez, pausando la reproducci\u00f3n cuando sea necesario.<\/p>\n<div style=\"text-align: center;\">\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/sU_yLnkXf4Y\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div>\n<p>Observemos que, en este caso, presenta una as\u00edntota vertical y una oblicua. Espero que haya sido de provecho \u00a1Hasta luego!<\/p>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>En esta entrada vamos a obtener las as\u00edntotas de la gr\u00e1fica de una funci\u00f3n racional definida a trav\u00e9s de su f\u00f3rmula. Sea [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"post-templates\/post_nosidebar.php","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[52,50],"class_list":["post-565","post","type-post","status-publish","format-standard","hentry","category-matematicas-ii","tag-limites-y-continuidad","tag-video"],"_links":{"self":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/565","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=565"}],"version-history":[{"count":3,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/565\/revisions"}],"predecessor-version":[{"id":568,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/565\/revisions\/568"}],"wp:attachment":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=565"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=565"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}