{"id":232250,"date":"2025-06-11T21:55:46","date_gmt":"2025-06-11T21:55:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232250"},"modified":"2025-06-11T21:55:48","modified_gmt":"2025-06-11T21:55:48","slug":"the-graph-of-a-function-f-is-given-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/the-graph-of-a-function-f-is-given-2\/","title":{"rendered":"The = graph of a function f is given"},"content":{"rendered":"\n

The = graph of a function f is given: Use the graph to answer the question Use the graph of f given below to find ((50), 100<\/p>\n\n\n\n

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

Understanding the Graph of a Function<\/strong><\/h3>\n\n\n\n

To find the value of a function, such as f(x), from its graph, we need to interpret the relationship between the coordinate axes and the function’s curve. The horizontal axis, commonly known as the x-axis, represents the input values for the function. The vertical axis, or y-axis, represents the corresponding output values. The curve drawn on the plane illustrates the specific output value (y-coordinate) for every given input value (x-coordinate).<\/p>\n\n\n\n

The notation f(50) asks for the specific output value of the function ‘f’ when the input value ‘x’ is 50.<\/p>\n\n\n\n

Step-by-Step Solution<\/strong><\/h3>\n\n\n\n
    \n
  1. Identify the Input Value:<\/strong>\u00a0The expression we need to evaluate is f(50). In this notation, the number inside the parentheses, 50, is our input value. This corresponds to a specific location on the x-axis.<\/li>\n\n\n\n
  2. Locate the Input on the x-axis:<\/strong>\u00a0We start by finding the number 50 on the horizontal x-axis. The graph has markings, and the value “50” is explicitly labeled to the right of the origin (0,0).<\/li>\n\n\n\n
  3. Find the Corresponding Point on the Graph:<\/strong>\u00a0From the position x = 50 on the x-axis, we trace a vertical line up or down until we intersect the curve that represents the function f. As we look at the graph, we can see that at the exact point where x = 50, the function’s curve crosses the x-axis.<\/li>\n\n\n\n
  4. Determine the Output Value from the y-axis:<\/strong>\u00a0Once we have located the point on the curve, we must determine its corresponding y-value. We do this by tracing a horizontal line from that point over to the y-axis. Since the point for x = 50 lies directly\u00a0on<\/em>\u00a0the x-axis, its vertical distance from the x-axis is zero. Therefore, its y-coordinate is 0.<\/li>\n<\/ol>\n\n\n\n

    Conclusion<\/strong><\/h3>\n\n\n\n

    The point on the graph corresponding to the input x = 50 is (50, 0). Since the y-value represents the output of the function, we can conclude that f(50) = 0.<\/p>\n\n\n\n

    Comparing this result with the given choices:
    A) 0
    B) 60
    C) 100
    D) 50<\/p>\n\n\n\n

    The correct option is A.<\/p>\n\n\n\n

    The correct answer is A) 0.<\/strong><\/p>\n\n\n\n

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

    The = graph of a function f is given: Use the graph to answer the question Use the graph of f given below to find ((50), 100 The Correct Answer and Explanation is: Understanding the Graph of a Function To find the value of a function, such as f(x), from its graph, we need to […]<\/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-232250","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232250","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=232250"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232250\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232250"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232250"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232250"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}