{"id":150732,"date":"2024-10-09T09:19:37","date_gmt":"2024-10-09T09:19:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=150732"},"modified":"2024-10-09T09:19:40","modified_gmt":"2024-10-09T09:19:40","slug":"the-table-represents-the-function-fx","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/09\/the-table-represents-the-function-fx\/","title":{"rendered":"The table represents the function f(x)"},"content":{"rendered":"\n<p>The table represents the function f(x).<br>What is f(3)?<\/p>\n\n\n\n<p>X f(x) -3 -9 -6 -2 -1 0 1 2 3 -3 0 3 6 9<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To determine the value of ( f(3) ), you need to find the corresponding output for the input ( x = 3 ) from the table. Here&#8217;s the relevant section of the table:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>( x )<\/th><th>( f(x) )<\/th><\/tr><\/thead><tbody><tr><td>-3<\/td><td>-9<\/td><\/tr><tr><td>-6<\/td><td>-2<\/td><\/tr><tr><td>-1<\/td><td>0<\/td><\/tr><tr><td>1<\/td><td>2<\/td><\/tr><tr><td>3<\/td><td>-3<\/td><\/tr><tr><td>0<\/td><td>3<\/td><\/tr><tr><td>6<\/td><td>9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>From this, when ( x = 3 ), the corresponding value of ( f(x) ) is:<\/p>\n\n\n\n<p>[<br>f(3) = -3<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>The question asks us to find the value of ( f(3) ) from a table that represents a function ( f(x) ). A function is a relationship that assigns exactly one output (value of ( f(x) )) for each input (value of ( x )). This means that for every value of ( x ), there is a corresponding unique value of ( f(x) ).<\/p>\n\n\n\n<p>In this table, each pair of ( x ) and ( f(x) ) represents an input-output relationship. To find ( f(3) ), we need to look at the row where ( x = 3 ). According to the table, when ( x ) equals 3, ( f(x) ) equals -3. Therefore, the value of the function at ( x = 3 ) is:<\/p>\n\n\n\n<p>[<br>f(3) = -3<br>]<\/p>\n\n\n\n<p>In more general terms, tables like this are used to represent discrete functions, where the function is defined only for specific values of ( x ). The table allows us to quickly find the output for any given input. Unlike formulas or equations that describe a continuous function, this type of table simply lists all possible input-output pairs.<\/p>\n\n\n\n<p>Since this table is already provided and represents the exact outputs, there&#8217;s no need to perform any calculations\u2014just look for the input value of 3 and read off the corresponding output value.<\/p>\n\n\n\n<p>Hence, ( f(3) ) is -3, based on the information from the table.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The table represents the function f(x).What is f(3)? X f(x) -3 -9 -6 -2 -1 0 1 2 3 -3 0 3 6 9 The Correct Answer and Explanation is : To determine the value of ( f(3) ), you need to find the corresponding output for the input ( x = 3 ) from [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-150732","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150732","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=150732"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150732\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150732"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150732"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}