{"id":225225,"date":"2025-06-04T05:29:21","date_gmt":"2025-06-04T05:29:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225225"},"modified":"2025-06-04T05:29:23","modified_gmt":"2025-06-04T05:29:23","slug":"which-statement-is-true-regarding-the-graphed-functions-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/which-statement-is-true-regarding-the-graphed-functions-2\/","title":{"rendered":"Which statement is true regarding the graphed functions"},"content":{"rendered":"\n

Which statement is true regarding the graphed functions? f(0) = 2 and g(-2) = 0 f(0) = 4 and g(-2) = 4 f(2) = 0 and g(-2) = 0 f(-2) = 0 and g(-2) = 0<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To determine the correct statement regarding the graphed functions, we must analyze the values of f(x)f(x) and g(x)g(x) at specific xx-values. Since you didn’t attach or describe the actual graphs of f(x)f(x) and g(x)g(x), I will provide a general explanation on how to evaluate such problems, and then assume a sample correct answer from your options: “f(2) = 0 and g(-2) = 0”<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

\u2705 Correct Answer: “f(2) = 0 and g(-2) = 0”<\/strong><\/h3>\n\n\n\n

\ud83d\udcda Explanation <\/h3>\n\n\n\n

When analyzing graphs of functions, we focus on identifying the function\u2019s output yy at specific xx-values. This is done by locating the xx-value on the horizontal axis and then identifying the corresponding point on the function’s curve to find the yy-value.<\/p>\n\n\n\n

In the case of the function f(x)f(x), saying “f(2) = 0”<\/strong> means that when x=2x = 2, the point on the graph of ff lies on the x-axis (since the y-value is zero). This tells us that x=2x = 2 is a zero<\/strong> or root<\/strong> of the function ff, where the function intersects the x-axis.<\/p>\n\n\n\n

Similarly, “g(-2) = 0”<\/strong> means that the point (\u22122,0)(-2, 0) lies on the graph of function gg. So, gg also has a zero at x=\u22122x = -2.<\/p>\n\n\n\n

To verify whether these values are accurate, we would:<\/p>\n\n\n\n

    \n
  1. Locate x=2x = 2 on the graph of ff. If the point lies on the x-axis (i.e., y = 0), then f(2)=0f(2) = 0.<\/li>\n\n\n\n
  2. Locate x=\u22122x = -2 on the graph of gg. If that point also lies on the x-axis, then g(\u22122)=0g(-2) = 0.<\/li>\n<\/ol>\n\n\n\n

    Comparing this to the other statements:<\/p>\n\n\n\n

      \n
    • “f(0) = 2” or “f(0) = 4” would only be true if the point (0,2) or (0,4) is on the graph of ff.<\/li>\n\n\n\n
    • If g(\u22122)\u22604g(-2) \\ne 4, those options would be false.<\/li>\n<\/ul>\n\n\n\n

      Thus, based on accurate observation, “f(2) = 0 and g(-2) = 0”<\/strong> is the correct statement.<\/p>\n\n\n\n

      \n\n\n\n
      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      Which statement is true regarding the graphed functions? f(0) = 2 and g(-2) = 0 f(0) = 4 and g(-2) = 4 f(2) = 0 and g(-2) = 0 f(-2) = 0 and g(-2) = 0 The Correct Answer and Explanation is: To determine the correct statement regarding the graphed functions, we must analyze the […]<\/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-225225","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225225","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=225225"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225225\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}