{"id":1125,"date":"2022-05-26T16:05:49","date_gmt":"2022-05-26T16:05:49","guid":{"rendered":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/?p=1125"},"modified":"2022-05-26T16:05:50","modified_gmt":"2022-05-26T16:05:50","slug":"clase-digital-5-ecuaciones-de-segundo-grado-y-funciones","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/clase-digital-5-ecuaciones-de-segundo-grado-y-funciones\/","title":{"rendered":"Clase digital 5. Ecuaciones de segundo grado y funciones"},"content":{"rendered":"\n\n\n<div class=\"wp-block-cover\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-1130\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/1023846.jpg\" style=\"object-position:59% 43%\" data-object-fit=\"cover\" data-object-position=\"59% 43%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"718\" class=\"wp-block-cover__image-background wp-image-1130\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/1023846.jpg\" style=\"object-position:59% 43%\" data-object-fit=\"cover\" data-object-position=\"59% 43%\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/1023846.jpg 1280w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/1023846-300x168.jpg 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/1023846-1024x574.jpg 1024w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/1023846-768x431.jpg 768w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\">Ecuaciones de segundo grado y funciones<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Introducci\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u00a1Qu\u00e9 gusto saludarte! Me da mucha alegr\u00eda saber que contin\u00faas con todo el \u00e1nimo y disposici\u00f3n en este m\u00f3dulo. Te comparto que en esta clase digital daremos continuidad a las ecuaciones pero en este caso ser\u00e1n de segundo grado, es decir, donde la variable est\u00e1 elevada a la potencia 2. Se mostrar\u00e1 el procedimiento para resolver este tipo de ecuaciones y posteriormente la revisi\u00f3n al tema de funciones, en el que se establecer\u00e1 su clasificaci\u00f3n y la manera de encontrar el valor de una funci\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sin m\u00e1s que agregar, \u00a1demos inicio a la clase!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Ecuaciones de segundo grado<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Se le conoce como ecuaci\u00f3n de segundo grado o cuadr\u00e1tica con una inc\u00f3gnita a toda aquella ecuaci\u00f3n que tiene la forma del tipo que se muestra en la imagen; al t\u00e9rmino <em>ax<sup>2<\/sup><\/em> se le llama cuadr\u00e1tico, a <em>bx<\/em> lineal y c es el t\u00e9rmino independiente. <\/p>\n\n\n\n<h3 class=\"has-text-align-center wp-block-heading\">ax<sup>2<\/sup> + bx + c = 0<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Las ecuaciones de segundo se clasifican de la siguiente forma:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-9.59.33.png\" alt=\"\" class=\"wp-image-1132\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"829\" height=\"275\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-9.59.33.png\" alt=\"\" class=\"wp-image-1132\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-9.59.33.png 829w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-9.59.33-300x100.png 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-9.59.33-768x255.png 768w\" sizes=\"auto, (max-width: 829px) 100vw, 829px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Las ecuaciones de segundo grado tienen dos soluciones, a las que tambi\u00e9n se les denomina ra\u00edces. Existen tres m\u00e9todos para resolver ecuaciones de segundo grado:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Completando el trinomio cuadrado perfecto<\/li><li>Factorizaci\u00f3n<\/li><li>F\u00f3rmula general.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">En esta clase virtual explicaremos el m\u00e9todo de la f\u00f3rmula general.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">M\u00e9todo: F\u00f3rmula general<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"285\" height=\"104\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Donde a, b y c, corresponden a los coeficientes del t\u00e9rmino cuadr\u00e1tico, t\u00e9rmino lineal y t\u00e9rmino independiente, respectivamente. Para aplicar la f\u00f3rmula general es necesario llevar a cabo los siguientes pasos:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Ordenar la ecuaci\u00f3n de la siguiente forma: ax<sup>2<\/sup>+bx+c=0.<\/li><li>Determinar el valor de los coeficientes.<\/li><li>Sustituir en la f\u00f3rmula general.<\/li><li>Realizar las operaciones y encontrar el valor de las ra\u00edces, simplificando a su m\u00ednima expresi\u00f3n.<\/li><\/ol>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Ejemplo<\/strong>: Resuelve la ecuaci\u00f3n x<sup>2<\/sup>+2x-5=0<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-left has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> La ecuaci\u00f3n ya se encuentra ordenada de la forma:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">ax<sup>2<\/sup> + bx + c = 0.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>x<sup>2<\/sup> &#8211; 8x + 15 = 0 <\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b)<\/strong> Determinar el valor de los coeficientes.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a = 1        b = &#8211; 8      c=15<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>c)<\/strong> Sustituir en la f\u00f3rmula general:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" width=\"225\" height=\"82\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" width=\"225\" height=\"82\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" width=\"225\" height=\"82\" \/><\/noscript><\/noscript><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.30.08.png\" alt=\"\" class=\"wp-image-1139\" width=\"356\" height=\"86\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.30.08.png\" alt=\"\" class=\"wp-image-1139\" width=\"356\" height=\"86\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.30.08.png 480w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.30.08-300x73.png 300w\" sizes=\"auto, (max-width: 356px) 100vw, 356px\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>d)<\/strong> Realizar las operaciones y encontrar el valor de las ra\u00edces, simplificando a su m\u00ednima expresi\u00f3n.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.31.13.png\" alt=\"\" class=\"wp-image-1140\" width=\"571\" height=\"383\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.31.13.png\" alt=\"\" class=\"wp-image-1140\" width=\"571\" height=\"383\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.31.13.png 719w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.31.13-300x201.png 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.31.13-272x182.png 272w\" sizes=\"auto, (max-width: 571px) 100vw, 571px\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Ejemplo<\/strong>: Resuelve la ecuaci\u00f3n x<sup>2<\/sup> = -6x<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> La ecuaci\u00f3n ya se encuentra ordenada de la forma: <br>ax<sup>2<\/sup> + x + c = 0.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>x<sup>2<\/sup> = -6x<br>x<sup>2<\/sup> + 6x = 0<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b)<\/strong> Determinar el valor de los coeficientes.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a = 1        b = 6       c = 0<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>c)<\/strong> Sustituir en la f\u00f3rmula general:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" width=\"225\" height=\"82\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" width=\"225\" height=\"82\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.01.25.png\" alt=\"\" class=\"wp-image-1133\" width=\"225\" height=\"82\" \/><\/noscript><\/noscript><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.35.23.png\" alt=\"\" class=\"wp-image-1141\" width=\"273\" height=\"69\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.35.23.png\" alt=\"\" class=\"wp-image-1141\" width=\"273\" height=\"69\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.35.23.png 425w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.35.23-300x76.png 300w\" sizes=\"auto, (max-width: 273px) 100vw, 273px\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>d)<\/strong> Realizar las operaciones y encontrar el valor de las ra\u00edces, simplificando a su m\u00ednima expresi\u00f3n.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.36.42.png\" alt=\"\" class=\"wp-image-1142\" width=\"515\" height=\"399\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.36.42.png\" alt=\"\" class=\"wp-image-1142\" width=\"515\" height=\"399\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.36.42.png 614w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.36.42-300x233.png 300w\" sizes=\"auto, (max-width: 515px) 100vw, 515px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Funciones<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Definici\u00f3n<\/em>.- Una funci\u00f3n matem\u00e1tica es una relaci\u00f3n que se establece entre dos conjuntos, a trav\u00e9s de la cual a cada elemento del primer conjunto se le asigna un \u00fanico elemento del segundo conjunto o ninguno. Al conjunto inicial o conjunto de partida tambi\u00e9n se lo llama dominio; al conjunto final o conjunto de llegada, en tanto, se lo puede denominar codominio.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.38.17.png\" alt=\"\" class=\"wp-image-1144\" width=\"726\" height=\"329\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.38.17.png\" alt=\"\" class=\"wp-image-1144\" width=\"726\" height=\"329\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.38.17.png 1017w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.38.17-300x136.png 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.38.17-768x349.png 768w\" sizes=\"auto, (max-width: 726px) 100vw, 726px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile\"><figure class=\"wp-block-media-text__media\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.41.35.png\" alt=\"\" class=\"wp-image-1146 size-full\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"742\" height=\"312\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.41.35.png\" alt=\"\" class=\"wp-image-1146 size-full\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.41.35.png 742w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-10.41.35-300x126.png 300w\" sizes=\"auto, (max-width: 742px) 100vw, 742px\" \/><\/noscript><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-medium-font-size wp-block-paragraph\">La expresi\u00f3n<strong> f(x) <\/strong>indica el valor de la funci\u00f3n f asociado al n\u00famero <strong>x<\/strong>. Cabe se\u00f1alar que las funciones describen fen\u00f3menos cotidianos, econ\u00f3micos, psicol\u00f3gicos, cient\u00edficos, por solo mencionar algunos. Las funciones se clasifican en: algebraicas y trascendentes.<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Valor de una funci\u00f3n<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">El valor real de una funci\u00f3n f(x) es aquel que toma y cuando se asigna a x un determinado valor real.<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Ejemplo<\/strong>: Obt\u00e9n f(-3) para la funci\u00f3n f(x) = 5x<sup>2<\/sup> &#8211; 10x + 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n<\/strong>:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> Se sustituye el valor en la funci\u00f3n:<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\">f( -3 ) = 5 ( -3 )2 &#8211; 10( -3 ) + 2<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>b)<\/strong> Se realizan las operaciones necesarias<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\">f( -3 ) = 5( 9 ) + 30 + 2<br>f( -3 ) = 45 + 30 + 2<br>f( -3 ) = 77<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>c)<\/strong> Por lo tanto la soluci\u00f3n es:<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\">Cuando x = -3, el valor de la funci\u00f3n ser\u00e1: f( -3 ) = 77<\/p>\n<\/div>\n<\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.01.07.png\" alt=\"\" class=\"wp-image-1150\" width=\"433\" height=\"70\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.01.07.png\" alt=\"\" class=\"wp-image-1150\" width=\"433\" height=\"70\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.01.07.png 588w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.01.07-300x48.png 300w\" sizes=\"auto, (max-width: 433px) 100vw, 433px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>a)<\/strong> Se sustituye el valor en la funci\u00f3n:<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.02.33.png\" alt=\"\" class=\"wp-image-1151\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"242\" height=\"68\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.02.33.png\" alt=\"\" class=\"wp-image-1151\" \/><\/noscript><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>c)<\/strong> Se realizan las operaciones necesarias<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.03.10.png\" alt=\"\" class=\"wp-image-1152\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"497\" height=\"149\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.03.10.png\" alt=\"\" class=\"wp-image-1152\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.03.10.png 497w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.03.10-300x90.png 300w\" sizes=\"auto, (max-width: 497px) 100vw, 497px\" \/><\/noscript><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>d)<\/strong> Por lo tanto la soluci\u00f3n es:<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.03.48.png\" alt=\"\" class=\"wp-image-1153\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"186\" height=\"63\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-26-a-las-11.03.48.png\" alt=\"\" class=\"wp-image-1153\" \/><\/noscript><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Conclusi\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Las ecuaciones de segundo grado pueden ser resueltas por diferente m\u00e9todos, sin embargo, el m\u00e9todo denominado f\u00f3rmula general se aplica a todo tipo de ecuaciones de segundo grado, obteni\u00e9ndose dos ra\u00edces que corresponden a la soluci\u00f3n de la ecuaci\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Por otro lado, una funci\u00f3n es una relaci\u00f3n que se establece entre dos conjuntos, en donde a un elemento del primer conjunto se le asigna un valor. Una funci\u00f3n est\u00e1 constituida por la variable independiente y la variable dependiente. Cuando el valor de la variable independiente se le asigna a la funci\u00f3n, esto se conoce como valor de una funci\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Te agradezco tu atenci\u00f3n en esta sesi\u00f3n y te espero en nuestra \u00faltima clase \u00a1\u00e1nimo!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Fuentes de informaci\u00f3n<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/es.khanacademy.org\/math\/algebra\/x2f8bb11595b61c86:quadratic-functions-equations\/x2f8bb11595b61c86:quadratic-formula-a1\/v\/using-the-quadratic-formula#:~:text=La%20f%C3%B3rmula%20cuadr%C3%A1tica%20nos%20ayuda\" target=\"_blank\" rel=\"noreferrer noopener\">La f\u00f3rmula cuadr\u00e1tica<\/a><\/li><li><a href=\"https:\/\/es.khanacademy.org\/math\/algebra\/x2f8bb11595b61c86:functions\/x2f8bb11595b61c86:evaluating-functions\/v\/what-is-a-function\" target=\"_blank\" rel=\"noreferrer noopener\">\u00bfQu\u00e9 es una funci\u00f3n?<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00a1Qu\u00e9 gusto saludarte! Me da mucha alegr\u00eda saber que contin\u00faas con todo el \u00e1nimo y disposici\u00f3n en este m\u00f3dulo. Te comparto que en esta clase digital daremos continuidad a las ecuaciones pero en este caso ser\u00e1n de segundo grado, es decir, donde la variable est\u00e1 elevada a la potencia 2. Se mostrar\u00e1 el procedimiento &#8230; <a title=\"Clase digital 5. Ecuaciones de segundo grado y funciones\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/clase-digital-5-ecuaciones-de-segundo-grado-y-funciones\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 5. Ecuaciones de segundo grado y funciones\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[20,29],"tags":[30,4,31],"class_list":["post-1125","post","type-post","status-publish","format-standard","hentry","category-bloque-3","category-matematicas-i","tag-beatriz-rubio-campos","tag-clase-digital","tag-neba04"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/1125","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/comments?post=1125"}],"version-history":[{"count":6,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/1125\/revisions"}],"predecessor-version":[{"id":1154,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/1125\/revisions\/1154"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/media?parent=1125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/categories?post=1125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/tags?post=1125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}