{"id":2138,"date":"2018-08-01T11:07:38","date_gmt":"2018-08-01T14:07:38","guid":{"rendered":"http:\/\/site.univesp.br\/?post_type=reas&#038;p=2138"},"modified":"2019-06-25T14:57:39","modified_gmt":"2019-06-25T17:57:39","slug":"modulo-e-grafico-de-funcao","status":"publish","type":"post","link":"https:\/\/apps.univesp.br\/repositorio\/modulo-e-grafico-de-funcao\/","title":{"rendered":"M\u00f3dulo e gr\u00e1fico de fun\u00e7\u00f5es"},"content":{"rendered":"\n<div class=\"wp-block-cover is-layout-flow wp-block-cover-is-layout-flow\" style=\"background-image:url(http:\/\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png)\"><\/div>\n\n\n\n<div class=\"wp-block-ugb-spacer ugb-spacer\" style=\"height:50px\"><\/div>\n\n\n\n<p><strong>Voc\u00ea sabe o que \u00e9 o m\u00f3dulo de uma fun\u00e7\u00e3o? Neste recurso, seu desafio \u00e9 associar gr\u00e1ficos de fun\u00e7\u00f5es modulares a suas respectivas express\u00f5es.<\/strong><\/p>\n\n\n\n<p>O objetivo de aprendizagem do recurso \u00e9 mostrar como funciona o m\u00f3dulo de uma fun\u00e7\u00e3o, isto \u00e9, como ele \u00e9 representado no gr\u00e1fico &#8211; al\u00e9m de trabalhar, tamb\u00e9m, a associa\u00e7\u00e3o entre gr\u00e1ficos de fun\u00e7\u00f5es e suas respectivas f\u00f3rmulas.<br><\/p>\n\n\n\n<p>A ferramenta, publicada em agosto de 2018, foi criada para C\u00e1lculo I, do terceiro semestre do curso de Licenciatura em Matem\u00e1tica. Segundo o professor Claudio Possani, al\u00e9m de auxiliar os estudantes na disciplina, o material tamb\u00e9m poder\u00e1 ser utilizado por eles enquanto professores, j\u00e1 que fun\u00e7\u00f5es fazem parte do curr\u00edculo do ensino m\u00e9dio. <\/p>\n\n\n\n<div class=\"wp-block-ugb-button ugb-button-wrapper ugb-button--align-left\"><div><a class=\"ugb-button ugb-button--align-left ugb-button--size-medium\" href=\"https:\/\/apps.univesp.br\/modulo-e-grafico-de-funcoes\" style=\"border-radius:1px;background-color:#ed3b48\" target=\"_blank\" rel=\"noopener noreferrer\"><span class=\"ugb-button--inner\">Visite<\/span><\/a><\/div><\/div>\n\n\n\n<div class=\"wp-block-ugb-spacer ugb-spacer\" style=\"height:50px\"><\/div>\n\n\n\n<div class=\"wp-block-ugb-container ugb-container ugb--background-opacity-5 ugb--has-background ugb-container--height-short ugb-container--align-horizontal-full\" style=\"background-color:#f1f1f1;border-radius:0\"><div class=\"ugb-container__wrapper\"><div class=\"ugb-container__content-wrapper\">\n<h5 class=\"wp-block-heading\">Equipe Respons\u00e1vel<\/h5>\n\n\n\n<p><strong>Docente respons\u00e1vel:<\/strong> Claudio Possani<br><strong>Layout: <\/strong>Jonas Cruz<br><strong>Programa\u00e7\u00e3o:<\/strong> Celso de Oliveira<br><strong>Planejamento e Design Instrucional:<\/strong> Carolina Baggio e Cida Azevedo<\/p>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-ugb-spacer ugb-spacer\" style=\"height:50px\"><\/div>\n\n\n\t\t\t\t<div class = \"wp-block-uagb-cf7-styler uagb-cf7-styler__outer-wrap uagb-block-e7828ee2-093b-4172-b1a9-f7451da793fa   \">\n\t\t\t\t\t<div class = \"uagb-cf7-styler__align-left uagb-cf7-styler__field-style-underline uagb-cf7-styler__btn-align-right uagb-cf7-styler__highlight-style-default uagb-cf7-styler__check-style-enabled\">\n\t\t\t\t\t<div role=\"form\" class=\"wpcf7\" id=\"wpcf7-f4126-o1\" lang=\"pt-BR\" dir=\"ltr\">\n<div class=\"screen-reader-response\"><p role=\"status\" aria-live=\"polite\" aria-atomic=\"true\"><\/p> <ul><\/ul><\/div>\n<form action=\"\/repositorio\/wp-json\/wp\/v2\/posts\/2138#wpcf7-f4126-o1\" method=\"post\" class=\"wpcf7-form init\" novalidate=\"novalidate\" data-status=\"init\">\n<div style=\"display: none;\">\n<input type=\"hidden\" name=\"_wpcf7\" value=\"4126\" \/>\n<input type=\"hidden\" name=\"_wpcf7_version\" value=\"5.4.2\" \/>\n<input type=\"hidden\" name=\"_wpcf7_locale\" value=\"pt_BR\" \/>\n<input type=\"hidden\" name=\"_wpcf7_unit_tag\" value=\"wpcf7-f4126-o1\" \/>\n<input type=\"hidden\" name=\"_wpcf7_container_post\" value=\"0\" \/>\n<input type=\"hidden\" name=\"_wpcf7_posted_data_hash\" value=\"\" \/>\n<\/div>\n<h4>Utilizou ou pretende utilizar este REA? Conte-nos mais!<\/h4>\n<div style=\"margin-bottom:0\">\n<label><\/p>\n<p style=\"font-size:13px;color:gray\">Gostar\u00edamos de saber como e onde o REA est\u00e1 sendo aplicado. Igual ao original? Adaptado? Para qual curso e p\u00fablico? Estamos curiosos \ud83d\ude42<br\/><\/p>\n<p><span class=\"wpcf7-form-control-wrap mensagem\"><textarea name=\"mensagem\" cols=\"40\" rows=\"10\" class=\"wpcf7-form-control wpcf7-textarea wpcf7-validates-as-required\" aria-required=\"true\" aria-invalid=\"false\"><\/textarea><\/span><br \/>\n<\/label>\n<\/div>\n<div style=\"display:flex\">\n<div style=\"margin-right:30px\">\n<label>Seu nome<br \/>\n<span class=\"wpcf7-form-control-wrap nome\"><input type=\"text\" name=\"nome\" value=\"\" size=\"40\" class=\"wpcf7-form-control wpcf7-text\" aria-invalid=\"false\" \/><\/span><\/label>\n<\/div>\n<div>\n<label>Seu e-mail<br \/>\n<span class=\"wpcf7-form-control-wrap contato\"><input type=\"email\" name=\"contato\" value=\"\" size=\"40\" class=\"wpcf7-form-control wpcf7-text wpcf7-email wpcf7-validates-as-email\" aria-invalid=\"false\" \/><\/span><\/label>\n<\/div>\n<\/div>\n<p><label>O que voc\u00ea faz?<br \/>\n<span class=\"wpcf7-form-control-wrap profissao\"><select name=\"profissao\" class=\"wpcf7-form-control wpcf7-select wpcf7-validates-as-required\" aria-required=\"true\" aria-invalid=\"false\"><option value=\"\">&#8212;<\/option><option value=\"Sou Aluno\">Sou Aluno<\/option><option value=\"Sou Designer\">Sou Designer<\/option><option value=\"Sou Designer Instrucional\">Sou Designer Instrucional<\/option><option value=\"Sou Professor\">Sou Professor<\/option><option value=\"Sou Programador\">Sou Programador<\/option><option value=\"Outro\">Outro<\/option><\/select><\/span><\/label><\/p>\n<p><input type=\"submit\" value=\"Enviar\" class=\"wpcf7-form-control wpcf7-submit\" \/><\/p>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t","protected":false},"excerpt":{"rendered":"<p>Na Matem\u00e1tica, m\u00f3dulo \u00e9 a dist\u00e2ncia de um determinado n\u00famero at\u00e9 o 0. Dessa forma, o m\u00f3dulo de 7 \u00e9 a dist\u00e2ncia entre 0 e 7 (em termos matem\u00e1ticos, |7| = 7). Ocorre que, com os n\u00fameros negativos, o m\u00f3dulo fica positivo \u2014 isto \u00e9, o m\u00f3dulo de |-7| tamb\u00e9m \u00e9 igual a 7, porque est\u00e1 \u00e0 mesma dist\u00e2ncia do 0. A fun\u00e7\u00e3o modular, portanto, \u00e9 uma fun\u00e7\u00e3o que, a cada n\u00famero real x, associa o m\u00f3dulo de x.<\/p>\n","protected":false},"author":20,"featured_media":3276,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"kt_blocks_editor_width":"","spay_email":"","footnotes":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[257,260,170],"tags":[47,313,289,312,90,311],"class_list":["post-2138","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-graduacao","category-matematica","category-rea","tag-calculo","tag-formulas-funcoes","tag-funcoes","tag-graficos-funcoes","tag-matematica","tag-modulo-funcoes"],"featured_image_urls":{"full":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=1200%2C631&ssl=1",1200,631,false],"thumbnail":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=150%2C79&ssl=1",150,79,true],"medium":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=700%2C368&ssl=1",700,368,true],"medium_large":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=522%2C275&ssl=1",522,275,true],"large":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=522%2C274&ssl=1",522,274,true],"admin-rea-thumb":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=100%2C53&ssl=1",100,53,true],"1536x1536":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=1200%2C631&ssl=1",1200,631,true],"2048x2048":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=1200%2C631&ssl=1",1200,631,true],"ab-block-post-grid-landscape":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=600%2C400&ssl=1",600,400,true],"ab-block-post-grid-square":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=600%2C600&ssl=1",600,600,true],"post-thumbnail":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=295%2C155&ssl=1",295,155,true],"septera-featured":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=295%2C155&ssl=1",295,155,true],"septera-featured-lp":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=660%2C347&ssl=1",660,347,true],"septera-featured-half":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=800%2C421&ssl=1",800,421,true],"septera-featured-third":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=512%2C269&ssl=1",512,269,true],"septera-lpbox-1":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=440%2C300&ssl=1",440,300,true],"septera-lpbox-2":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=440%2C300&ssl=1",440,300,true]},"post_excerpt_stackable":"<p>Na Matem\u00e1tica, m\u00f3dulo \u00e9 a dist\u00e2ncia de um determinado n\u00famero at\u00e9 o 0. Dessa forma, o m\u00f3dulo de 7 \u00e9 a dist\u00e2ncia entre 0 e 7 (em termos matem\u00e1ticos, |7| = 7). Ocorre que, com os n\u00fameros negativos, o m\u00f3dulo fica positivo \u2014 isto \u00e9, o m\u00f3dulo de |-7| tamb\u00e9m \u00e9 igual a 7, porque est\u00e1 \u00e0 mesma dist\u00e2ncia do 0. A fun\u00e7\u00e3o modular, portanto, \u00e9 uma fun\u00e7\u00e3o que, a cada n\u00famero real x, associa o m\u00f3dulo de x.<\/p>\n","category_list":"<a href=\"https:\/\/apps.univesp.br\/repositorio\/category\/rea\/graduacao\/\" rel=\"category tag\">Gradua\u00e7\u00e3o<\/a>, <a href=\"https:\/\/apps.univesp.br\/repositorio\/category\/rea\/graduacao\/eixo-de-licenciatura\/matematica\/\" rel=\"category tag\">Matem\u00e1tica<\/a>, <a href=\"https:\/\/apps.univesp.br\/repositorio\/category\/rea\/\" rel=\"category tag\">REA<\/a>","author_info":{"display_name":"Wesley Lima","author_link":"https:\/\/apps.univesp.br\/repositorio\/author\/wesley-lima\/"},"comments_num":"0 coment\u00e1rio","featured_image_src":"https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=600%2C400&ssl=1","featured_image_src_square":"https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=600%2C600&ssl=1","jetpack_featured_media_url":"https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=1200%2C631&ssl=1","jetpack_publicize_connections":[],"uagb_featured_image_src":{"full":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=1200%2C631&ssl=1",1200,631,false],"thumbnail":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=150%2C79&ssl=1",150,79,true],"medium":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=700%2C368&ssl=1",700,368,true],"medium_large":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=522%2C275&ssl=1",522,275,true],"large":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=522%2C274&ssl=1",522,274,true],"admin-rea-thumb":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=100%2C53&ssl=1",100,53,true],"1536x1536":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=1200%2C631&ssl=1",1200,631,true],"2048x2048":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=1200%2C631&ssl=1",1200,631,true],"ab-block-post-grid-landscape":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=600%2C400&ssl=1",600,400,true],"ab-block-post-grid-square":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=600%2C600&ssl=1",600,600,true],"post-thumbnail":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?fit=295%2C155&ssl=1",295,155,true],"septera-featured":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=295%2C155&ssl=1",295,155,true],"septera-featured-lp":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=660%2C347&ssl=1",660,347,true],"septera-featured-half":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=800%2C421&ssl=1",800,421,true],"septera-featured-third":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=512%2C269&ssl=1",512,269,true],"septera-lpbox-1":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=440%2C300&ssl=1",440,300,true],"septera-lpbox-2":["https:\/\/i2.wp.com\/apps.univesp.br\/repositorio\/wp-content\/uploads\/2018\/08\/fb-share-modulo-grafico-funcoes.png?resize=440%2C300&ssl=1",440,300,true]},"uagb_author_info":{"display_name":"Wesley Lima","author_link":"https:\/\/apps.univesp.br\/repositorio\/author\/wesley-lima\/"},"uagb_comment_info":0,"uagb_excerpt":"Na Matem\u00e1tica, m\u00f3dulo \u00e9 a dist\u00e2ncia de um determinado n\u00famero at\u00e9 o 0. Dessa forma, o m\u00f3dulo de 7 \u00e9 a dist\u00e2ncia entre 0 e 7 (em termos matem\u00e1ticos, |7| = 7). Ocorre que, com os n\u00fameros negativos, o m\u00f3dulo fica positivo \u2014 isto \u00e9, o m\u00f3dulo de |-7| tamb\u00e9m \u00e9 igual a 7, porque&hellip;","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pawKEk-yu","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/posts\/2138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/comments?post=2138"}],"version-history":[{"count":6,"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/posts\/2138\/revisions"}],"predecessor-version":[{"id":4173,"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/posts\/2138\/revisions\/4173"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/media\/3276"}],"wp:attachment":[{"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/media?parent=2138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/categories?post=2138"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apps.univesp.br\/repositorio\/wp-json\/wp\/v2\/tags?post=2138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}