{"id":244528,"date":"2025-07-05T08:10:34","date_gmt":"2025-07-05T08:10:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244528"},"modified":"2025-07-05T08:10:36","modified_gmt":"2025-07-05T08:10:36","slug":"what-is-the-x-intercept-of-the-function-graphed-below-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/what-is-the-x-intercept-of-the-function-graphed-below-2\/","title":{"rendered":"What is the x-intercept of the function graphed below"},"content":{"rendered":"\n<p>-4) B. (4, 0)<br>2 Points What is the x-intercept of the function graphed below? A. (0, -4) B. (4, 0)<\/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-181.png\" alt=\"\" class=\"wp-image-244529\"\/><\/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><strong>Correct Answer: (4, 0)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The question asks for the&nbsp;<strong>x-intercept<\/strong>&nbsp;of the graphed linear function. The x-intercept is the specific point on a graph where the line crosses the horizontal axis, which is known as the x-axis. A key property of any x-intercept is that its y-coordinate is always zero, as it lies directly on the x-axis. The general form of an x-intercept is (x, 0).<\/p>\n\n\n\n<p>To find the x-intercept from the provided graph, we need to locate the point where the diagonal line intersects the horizontal x-axis. By visually tracing the line, we can see it crosses the x-axis to the right of the origin (the point where the x and y axes meet).<\/p>\n\n\n\n<p>Next, we must determine the exact coordinates of this intersection point by reading the scale on the x-axis. The tick marks on the axis are labeled in increments of two: 2, 4, 6, and so on. The line clearly passes through the x-axis at the mark labeled &#8220;4&#8221;. Since this point is on the x-axis, its y-coordinate must be 0. Therefore, the coordinates of the x-intercept are (4, 0).<\/p>\n\n\n\n<p>Let&#8217;s analyze the given options to confirm our answer.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A, (0, -4):<\/strong>\u00a0This point has an x-coordinate of 0, which means it lies on the vertical y-axis. Looking at the graph, the line crosses the y-axis at -4. This point, (0, -4), is the\u00a0<strong>y-intercept<\/strong>, not the x-intercept.<\/li>\n\n\n\n<li><strong>Option B, (-4, 0):<\/strong>\u00a0This point represents an intersection with the x-axis at x = -4. However, the graph shows the line crossing the x-axis on the positive side, not the negative side.<\/li>\n<\/ul>\n\n\n\n<p>Based on a direct analysis of the graph, the only correct x-intercept is the point&nbsp;<strong>(4, 0)<\/strong>.<\/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-banner5-477.jpeg\" alt=\"\" class=\"wp-image-244530\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>-4) B. (4, 0)2 Points What is the x-intercept of the function graphed below? A. (0, -4) B. (4, 0) The Correct Answer and Explanation is: Correct Answer: (4, 0) Explanation: The question asks for the&nbsp;x-intercept&nbsp;of the graphed linear function. The x-intercept is the specific point on a graph where the line crosses the horizontal [&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-244528","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244528","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=244528"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244528\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244528"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244528"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}