{"id":110116,"date":"2020-01-29T18:14:31","date_gmt":"2020-01-29T17:14:31","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/calculo\/funcion-trozos.html"},"modified":"2025-07-10T11:53:35","modified_gmt":"2025-07-10T09:53:35","slug":"funcion-trozos","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\/funcion-trozos.html","title":{"rendered":"Funciones definidas a trozos"},"content":{"rendered":"<section id=\"sec\" style=\"\">\n<p class=\"\"> <strong>Son funciones definidas por distintos criterios, seg\u00fan los intervalos que se consideren.<\/strong><\/p>\n<p class=\"actividades\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2025\/07\/c_9_copia_a-17521412155549-6069.gif\"  height=\"129\" alt=\"Explicaciones y ejemplos de funciones definidas a trozos - 1\"\/><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/funciones-definidas-a-trozos-2.gif\" alt=\"Explicaciones y ejemplos de funciones definidas a trozos - 2\" width=\"232\" \/><\/p>\n<p class=\"\">El dominio lo forman todos los n\u00fameros reales menos el 2. <\/p>\n<p class=\"\"><strong>Es una funci\u00f3n que a cada n\u00famero real hace corresponder el n\u00famero entero inmediatamente inferior.<\/strong><\/p>\n<p class=\"actividades_2_v_ir\"><strong>f(x) = E (x)<\/strong><\/p>\n<table class=\"responsive sbc\" data-min=\"8\" data-max=\"12\" style=\"\">\n<tr>\n<th>x<\/th>\n<td>0<\/td>\n<td>0.5<\/td>\n<td>0.9<\/td>\n<td>1<\/td>\n<td>1.5<\/td>\n<td>1.9<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<th>f(x) = E(x)<\/th>\n<td>0<\/td>\n<td>0<\/td>\n<td>0<\/td>\n<td>1<\/td>\n<td>1<\/td>\n<td>1<\/td>\n<td>1<\/td>\n<\/tr>\n<\/table>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/funciones-definidas-a-trozos-3.gif\" alt=\"Explicaciones y ejemplos de funciones definidas a trozos - 3\"  ><\/p>\n<p class=\"\"><strong>Funci\u00f3n que hace corresponder a cada n\u00famero el mismo n\u00famero menos su parte entera.<\/strong><\/p>\n<p class=\"actividades_2_v_ir\"><strong>f(x) = x - E (x)<\/strong><\/p>\n<table class=\"responsive sbc\" data-min=\"8\" data-max=\"12\" style=\"\">\n<tr>\n<th>x<\/th>\n<td>0<\/td>\n<td>0.5<\/td>\n<td>0.9<\/td>\n<td>1<\/td>\n<td>1.5<\/td>\n<td>1.9<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<th>f(x) = x - E(x)<\/th>\n<td>0<\/td>\n<td>0.5<\/td>\n<td>0.9<\/td>\n<td>0<\/td>\n<td>0.5<\/td>\n<td>0.9<\/td>\n<td>0<\/td>\n<\/tr>\n<\/table>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/funciones-definidas-a-trozos-4.gif\" alt=\"Explicaciones y ejemplos de funciones definidas a trozos - 4\"  ><\/p>\n<p class=\"actividades_g_ir\"><strong>f(x) = sgn(x)<\/strong><\/p>\n<p class=\"actividades_2_v_irg\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/funciones-definidas-a-trozos-5.gif\" alt=\"Explicaciones y ejemplos de funciones definidas a trozos - 5\"  >    <\/p>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/funciones-definidas-a-trozos-6.gif\" alt=\"Explicaciones y ejemplos de funciones definidas a trozos - 6\"  ><\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Son funciones definidas por distintos criterios, seg\u00fan los intervalos que se consideren. El dominio lo forman todos los n\u00fameros reales menos el 2. Es una funci\u00f3n que a cada n\u00famero real hace corresponder el n\u00famero entero inmediatamente inferior. f(x) = E (x) x 0 0.5 0.9 1 1.5 1.9 2 f(x) = E(x) 0 0 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"none","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[366],"tags":[361],"class_list":["post-110116","post","type-post","status-publish","format-standard","hentry","category-calculo","tag-f"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">C\u00e1lculo<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">C\u00e1lculo<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">f<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">f<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 9 meses hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 10 julio 2025"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 14 min","modified":"Actualizado el 10 julio 2025 11 h 53 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/110116","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=110116"}],"version-history":[{"count":5,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/110116\/revisions"}],"predecessor-version":[{"id":136389,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/110116\/revisions\/136389"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=110116"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=110116"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=110116"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}