{"id":249755,"date":"2025-07-09T20:34:55","date_gmt":"2025-07-09T20:34:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249755"},"modified":"2025-07-09T20:34:57","modified_gmt":"2025-07-09T20:34:57","slug":"y-5-4-3-2-1-5-4-3-2-1-1-2-3-4-5-x-2-3-4-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/y-5-4-3-2-1-5-4-3-2-1-1-2-3-4-5-x-2-3-4-5\/","title":{"rendered":"y 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 x -2 -3 -4 -5"},"content":{"rendered":"\n<p>y 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 x -2 -3 -4 -5 Which<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-352.png\" alt=\"\" class=\"wp-image-249756\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Based on the graph provided, the correct answer is that the relation shown is&nbsp;<strong>not a function<\/strong>.<\/p>\n\n\n\n<p>A fundamental concept in mathematics is the definition of a function. A relation, which is any set of ordered pairs (x, y), qualifies as a function only if each unique input value, or x-coordinate, corresponds to exactly one output value, or y-coordinate. If any single input is paired with more than one output, the relation fails to be a function.<\/p>\n\n\n\n<p>To determine if the plotted points in the image represent a function, we must examine the coordinates of each point. The points on the graph are located at the coordinates (-2, -5), (-1, 3), (1, -2), (4, 4), and (4, -2). When we analyze these ordered pairs, we must look for any repeated x-values that are paired with different y-values.<\/p>\n\n\n\n<p>A careful inspection reveals a clear violation of the function rule. The x-value of 4 appears in two different ordered pairs: (4, 4) and (4, -2). This means the single input of 4 is mapped to two distinct outputs, 4 and -2. Because an input has more than one corresponding output, the relation is definitively not a function.<\/p>\n\n\n\n<p>This conclusion can also be reached visually using what is known as the vertical line test. This test is a simple graphical method for identifying functions. If it is possible to draw any vertical line that intersects a graph at more than one point, the graph does not represent a function. In this specific case, a vertical line drawn on the coordinate plane at the position x = 4 would pass through both the point (4, 4) and the point (4, -2). Since this single vertical line intersects the set of plotted points twice, it provides visual confirmation that the relation is not a function. Therefore, the collection of points fails the primary requirement of a function.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-47.jpeg\" alt=\"\" class=\"wp-image-249757\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>y 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 x -2 -3 -4 -5 Which The Correct Answer and Explanation is: Based on the graph provided, the correct answer is that the relation shown is&nbsp;not a function. A fundamental concept in mathematics is the definition of a function. [&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-249755","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249755","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=249755"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249755\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249755"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249755"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249755"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}