{"id":189408,"date":"2025-02-09T07:17:05","date_gmt":"2025-02-09T07:17:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=189408"},"modified":"2025-02-09T07:17:07","modified_gmt":"2025-02-09T07:17:07","slug":"which-graph-represents-a-function","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/09\/which-graph-represents-a-function\/","title":{"rendered":"Which graph represents a function"},"content":{"rendered":"\n<ol start=\"3\" class=\"wp-block-list\">\n<li>Which graph represents a function? Explain.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/02\/image-207.png\" alt=\"\" class=\"wp-image-189409\"\/><\/figure>\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 which graph represents a function, we can apply the <strong>vertical line test<\/strong>. This test states that if any vertical line intersects the graph at more than one point, the graph does not represent a function. Conversely, if every vertical line intersects the graph at exactly one point, the graph represents a function. \ue200cite\ue202turn0search0\ue201<\/p>\n\n\n\n<p>In the provided image, there are three graphs labeled A, B, and C. By applying the vertical line test to each:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Graph A<\/strong>: A vertical line intersects the graph at more than one point, indicating that this graph does not represent a function.<\/li>\n\n\n\n<li><strong>Graph B<\/strong>: A vertical line intersects the graph at exactly one point, suggesting that this graph represents a function.<\/li>\n\n\n\n<li><strong>Graph C<\/strong>: A vertical line intersects the graph at more than one point, meaning this graph does not represent a function.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, <strong>Graph B<\/strong> represents a function.<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>A <strong>function<\/strong> is a relation where each input (x-value) corresponds to exactly one output (y-value). The vertical line test is a visual method to determine if a graph represents a function:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Draw Vertical Lines<\/strong>: Imagine or draw vertical lines at various x-values across the graph.<\/li>\n\n\n\n<li><strong>Check Intersections<\/strong>: Observe how many times each vertical line intersects the graph.<\/li>\n\n\n\n<li><strong>Interpret Results<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If any vertical line intersects the graph at more than one point, the graph does not represent a function.<\/li>\n\n\n\n<li>If every vertical line intersects the graph at exactly one point, the graph represents a function.<\/li>\n<\/ul>\n\n\n\n<p>This test is effective because it ensures that for each x-value, there is only one corresponding y-value, which is the defining characteristic of a function.<\/p>\n\n\n\n<p>For a visual demonstration and further clarification, you might find the following video helpful:<\/p>\n\n\n\n<p>\ue200video\ue202How to tell if a Graph Represents a Function\ue202turn0search1\ue201<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is : To determine which graph represents a function, we can apply the vertical line test. This test states that if any vertical line intersects the graph at more than one point, the graph does not represent a function. Conversely, if every vertical line intersects the graph at exactly one [&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-189408","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189408","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=189408"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189408\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=189408"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=189408"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=189408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}