{"id":674,"date":"2010-08-05T11:59:34","date_gmt":"2010-08-05T16:59:34","guid":{"rendered":"http:\/\/laprofematematica.com\/blog\/?p=674"},"modified":"2016-09-16T17:20:08","modified_gmt":"2016-09-16T22:20:08","slug":"funcion-afin-representacion-grafica","status":"publish","type":"post","link":"https:\/\/laprofematematica.com\/blog\/funcion-afin-representacion-grafica\/","title":{"rendered":"Funcion Afin, representaci\u00f3n gr\u00e1fica"},"content":{"rendered":"<p><!--Ads1--><\/p>\n<h1 style=\"text-align: justify;\"><span style=\"color: #0000ff;\">Funcion Afin (Recta), representaci\u00f3n gr\u00e1fica en el plano cartesiano<\/span><\/h1>\n<p><center><iframe src=\"https:\/\/www.youtube.com\/embed\/9ML5T058HDk\" width=\"640\" height=\"480\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<h2><strong><span style=\"color: #800000;\">La funcion afin es de utilidad para representar dos variables que varien linealmente, por ejemplo en qu\u00edmica puede ser la densidad de un material.<\/span><\/strong><\/h2>\n<p>Una funci\u00f3n afin est\u00e1 definida por f(x)=mx+n, donde la variable es real, \u00abm\u00bb y \u00abn\u00bb son n\u00fameros reales. La representaci\u00f3n gr\u00e1fica de una funci\u00f3n afin en el plano cartesiano es una recta.<br \/>\nLa variable \u00abm\u00bb representa la pendiente de la recta, la cual puede ser positiva (Figura 1) o negativa (Figura 2). La Variable \u00abn\u00bb representa el corte con el eje \u00aby\u00bb<\/p>\n<p style=\"text-align: justify;\"><a href=\"http:\/\/laprofematematica.com\/blog\/funcion-afin-representacion-grafica\/funcion_afin1\/\" rel=\"attachment wp-att-675\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-675 size-full\" style=\"border: 0px;\" title=\"funcion_afin1\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin1.jpg\" alt=\"funcion_afin1\" width=\"594\" height=\"408\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin1.jpg 594w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin1-300x206.jpg 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">\u00a0<span style=\"font-size: medium;\">Hay casos especiales de la <strong>funci\u00f3n af\u00edn<\/strong> que definen las rectas horizontales o verticales. Esto ocurre cuando no existe el t\u00e9rmino de la variable independiente (x)\u00a0o cuando no existe el t\u00e9rmino de la variable dependienete (y)<\/span><\/p>\n<p>\u00a0<img decoding=\"async\" class=\"aligncenter size-full wp-image-679\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin2.jpg\" alt=\"funcion_afin2\" width=\"578\" height=\"392\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin2.jpg 578w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin2-300x203.jpg 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p><!--Ads2--><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: medium;\">Para graficar una recta en el plano cartesiano se necesita encontrar las coordenadas de dos puntos que pertenezcan a la recta, para ello se asignan valores arbitarios a la variable \u00abx\u00bb, es decir, cualquier valor positivo o negativo, se recomienda \u00abcero\u00bb, \u00abuno para facilitar las operaciones algebraicas en el momento de la sustituci\u00f3n del valor, para obtener el valor de la variable \u00aby\u00bb y graficar la <strong>funci\u00f3n af\u00edn<\/strong>.<\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/laprofematematica.com\/blog\/funcion-afin-representacion-grafica\/funcion_afin3\/\" rel=\"attachment wp-att-680\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-680\" style=\"border: 0px;\" title=\"funcion_afin3\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin3.jpg\" alt=\"funcion_afin3\" width=\"493\" height=\"350\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin3.jpg 986w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin3-300x212.jpg 300w\" sizes=\"(max-width: 493px) 100vw, 493px\" \/><\/a><\/p>\n<p><span style=\"font-size: medium;\">quedando la grafica de la funci\u00f3n af\u00edn<\/span><\/p>\n<p style=\"text-align: center;\">\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-683\" style=\"border: 0px;\" title=\"funcion_afin4\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin4.jpg\" alt=\"funcion_afin4\" width=\"382\" height=\"444\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin4.jpg 382w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/08\/funcion_afin4-258x300.jpg 258w\" sizes=\"(max-width: 382px) 100vw, 382px\" \/><\/p>\n<h2 style=\"text-align: center;\">Si quieres saber como estoy desarrollando un sitio web rentable y te gustar\u00eda formar parte de mis compa\u00f1eros emprendedores, te invito a ingresar aqu\u00ed.<\/h2>\n<p><a href=\"http:\/\/esthermorales.com.ve\/ensena\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1051 size-full\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/01\/acceder.jpg\" alt=\"acceder\" width=\"341\" height=\"113\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/01\/acceder.jpg 341w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/01\/acceder-300x99.jpg 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><strong>Visita LaProfeMatematica.com para Aprender matematicas online<\/strong><br \/>\n<strong>Usa la p\u00e1gina par estudiar matematica por internet. Cuando tengas alguna duda escr\u00edbela en la c<br \/>\naja de comentarios.<\/strong><\/h3>\n<p><!--Ads3--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Funcion Afin (Recta), representaci\u00f3n gr\u00e1fica en el plano cartesiano La funcion afin es de utilidad para representar dos variables que varien linealmente, por ejemplo en qu\u00edmica puede ser la densidad de un material. Una funci\u00f3n afin est\u00e1 definida por f(x)=mx+n, donde la variable es real, \u00abm\u00bb y \u00abn\u00bb son n\u00fameros reales. La representaci\u00f3n gr\u00e1fica de &#8230; <a title=\"Funcion Afin, representaci\u00f3n gr\u00e1fica\" class=\"read-more\" href=\"https:\/\/laprofematematica.com\/blog\/funcion-afin-representacion-grafica\/\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":1133,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24,45],"tags":[167,122,162,169],"class_list":["post-674","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-funciones","category-matematica","tag-estudiar-matematica-por-internet","tag-funcion-afin","tag-graficar","tag-matematicas-online"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Funcion Afin, representaci\u00f3n gr\u00e1fica -<\/title>\n<meta name=\"description\" content=\"Aprende a diferenciar la pendiente de una funcion afin, asi como graficar una funcion afin. Usando dos puntos se puede obtener la recta de la funcion\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/laprofematematica.com\/blog\/funcion-afin-representacion-grafica\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funcion Afin, representaci\u00f3n gr\u00e1fica -\" \/>\n<meta property=\"og:description\" content=\"Aprende a diferenciar la pendiente de una funcion afin, asi como graficar una funcion afin. 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