{"id":244474,"date":"2025-07-05T07:16:18","date_gmt":"2025-07-05T07:16:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244474"},"modified":"2025-07-05T07:16:20","modified_gmt":"2025-07-05T07:16:20","slug":"what-is-the-x-intercept-of-the-function-graphed-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/what-is-the-x-intercept-of-the-function-graphed-below\/","title":{"rendered":"What is the x-intercept of the function graphed below"},"content":{"rendered":"\n<p> What is the x-intercept of the function graphed below? A. (4,0) B. (0,4) C. (0,-8) D. (-8,0)<\/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-172.png\" alt=\"\" class=\"wp-image-244475\"\/><\/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>D. (-8, 0)<\/strong><\/p>\n\n\n\n<p>The x-intercept of a function is the point where its graph crosses the horizontal x-axis. A fundamental property of any point on the x-axis is that its y-coordinate is always zero. Therefore, we are looking for a point on the graphed line that has coordinates in the format (x, 0).<\/p>\n\n\n\n<p>To find the x-intercept from the provided graph, you must locate the horizontal axis, which is the x-axis, and then identify the exact spot where the sloped line intersects it. The graph&#8217;s axes are scaled where each major grid line represents two units. If you look at the x-axis, you can see the labels -8, -6, -4, -2, 0, 2, 4, 6, and 8.<\/p>\n\n\n\n<p>By tracing the graphed line, we can see that it crosses the x-axis precisely at the mark labeled -8. At this specific point of intersection, the value on the x-axis is -8, and since the point lies on the x-axis, its corresponding y-value is 0. This gives us the coordinate pair (-8, 0) for the x-intercept.<\/p>\n\n\n\n<p>Now, let&#8217;s evaluate the given multiple choice options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. (4, 0): This point lies on the x-axis at x=4, but the graphed line does not pass through it.<\/li>\n\n\n\n<li>B. (0, 4): This is the y-intercept, not the x-intercept. It is the point where the line crosses the vertical y-axis.<\/li>\n\n\n\n<li>C. (0, -8): This is a point on the y-axis at y=-8, which the line does not pass through.<\/li>\n\n\n\n<li>D. (-8, 0): This point correctly identifies the location on the x-axis where the function&#8217;s graph crosses. The x-coordinate is -8 and the y-coordinate is 0.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, the correct x-intercept of the function graphed is (-8, 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\/learnexams-banner5-465.jpeg\" alt=\"\" class=\"wp-image-244476\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the x-intercept of the function graphed below? A. (4,0) B. (0,4) C. (0,-8) D. (-8,0) The Correct Answer and Explanation is: D. (-8, 0) The x-intercept of a function is the point where its graph crosses the horizontal x-axis. A fundamental property of any point on the x-axis is that its y-coordinate is [&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-244474","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244474","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=244474"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244474\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}