{"id":232246,"date":"2025-06-11T21:52:25","date_gmt":"2025-06-11T21:52:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232246"},"modified":"2025-06-11T21:52:26","modified_gmt":"2025-06-11T21:52:26","slug":"the-graph-of-a-function-f-is-given","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/the-graph-of-a-function-f-is-given\/","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 f(20). ~25<\/p>\n\n\n\n

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

Correct Answer:<\/strong>
f(20) = 15<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To find the value of a function, such as f(20)<\/strong>, from its graph, we need to determine the output value (the y-coordinate) that corresponds to the given input value (the x-coordinate). The graph visually represents the set of all points (x, f(x)).<\/p>\n\n\n\n

Step 1: Understand the Graph’s Scale<\/strong><\/p>\n\n\n\n

First, we must interpret the scale of the coordinate axes. The horizontal x-axis and the vertical y-axis are labeled with values like 25 and -25. By observing the tick marks between the origin (0,0) and the label ’25’ on both axes, we can see there are five intervals. This means each tick mark represents a step of 25 \u00f7 5 = 5 units. So, along the x-axis, the tick marks to the right of the origin represent x = 5, 10, 15, 20, 25, and so on. Similarly, the tick marks above the origin on the y-axis represent y = 5, 10, 15, 20, 25.<\/p>\n\n\n\n

Step 2: Locate the Input Value on the Horizontal Axis (x-axis)<\/strong><\/p>\n\n\n\n

The question asks for f(20)<\/strong>. This means our input value is x = 20. We locate this value on the x-axis by starting at the origin and moving to the right. The fourth tick mark from the origin corresponds to x = 20.<\/p>\n\n\n\n

Step 3: Find the Corresponding Point on the Graph of the Function<\/strong><\/p>\n\n\n\n

From the position x = 20 on the x-axis, we trace a vertical line upwards until it intersects the curve of the function f. The graph has a distinct point plotted at this x-value.<\/p>\n\n\n\n

Step 4: Determine the Output Value from the Vertical Axis (y-axis)<\/strong><\/p>\n\n\n\n

Once we have identified the point on the curve at x = 20, we trace a horizontal line from this point over to the y-axis to read its corresponding y-value. This horizontal line aligns with the third tick mark above the origin on the y-axis.<\/p>\n\n\n\n

Conclusion<\/strong><\/p>\n\n\n\n

Since each tick mark on the y-axis represents 5 units, the third tick mark corresponds to a value of 3 \u00d7 5 = 15. Therefore, the point on the graph is (20, 15). By definition, f(x) = y, so we can conclude that f(20) = 15<\/strong>.thumb_upthumb_down<\/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 f(20). ~25 The Correct Answer and Explanation is: Correct Answer:f(20) = 15 Explanation: To find the value of a function, such as f(20), from its graph, we need to determine the output […]<\/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-232246","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232246","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=232246"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232246\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232246"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232246"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}