{"id":235488,"date":"2025-06-15T12:05:29","date_gmt":"2025-06-15T12:05:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235488"},"modified":"2025-06-15T12:05:31","modified_gmt":"2025-06-15T12:05:31","slug":"complete-the-table-and-then-graph-the-function","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/complete-the-table-and-then-graph-the-function\/","title":{"rendered":"Complete the table and then graph the function."},"content":{"rendered":"\n

Complete the table and then graph the function. y = 3x X Y 1 2 3 Click to select points on the graph. y 10 9 8 7<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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

Completed Table and Graph:<\/strong><\/p>\n\n\n\n

x<\/td>y<\/td><\/tr>
1<\/strong><\/td>3<\/strong><\/td><\/tr>
2<\/strong><\/td>6<\/strong><\/td><\/tr>
3<\/strong><\/td>9<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
![alt text](https:\/\/i.imgur.com\/8Q6lGqJ.png)<\/pre>\n\n\n\n
Explanation<\/h3>\n\n\n\n
Completing the Table<\/strong><\/p>\n\n\n\n
The first step is to complete the table of values using the given function, y = 3x<\/strong>. This equation describes a relationship where the value of y is always three times the value of x. To find the corresponding y-value for each x-value in the table, one must substitute the x-value into the equation and solve for y.<\/p>\n\n\n\n
    \n
  • For x = 1:<\/strong>\u00a0Substitute 1 for x in the equation: y = 3 * 1. The result is y = 3. This gives the coordinate pair (1, 3).<\/li>\n\n\n\n
  • For x = 2:<\/strong>\u00a0Substitute 2 for x in the equation: y = 3 * 2. The result is y = 6. This gives the coordinate pair (2, 6).<\/li>\n\n\n\n
  • For x = 3:<\/strong>\u00a0Substitute 3 for x in the equation: y = 3 * 3. The result is y = 9. This gives the coordinate pair (3, 9).<\/li>\n<\/ul>\n\n\n\n
    These calculations provide the points needed to plot the function on the graph.<\/p>\n\n\n\n
    Graphing the Function<\/strong><\/p>\n\n\n\n
    The second step is to plot the coordinate pairs from the completed table onto the graph and draw the function’s line. Each pair (x, y) represents a single point on the coordinate plane. The x-value determines the horizontal position (left or right), and the y-value determines the vertical position (up or down).<\/p>\n\n\n\n
      \n
    1. Plot the point (1, 3):<\/strong>\u00a0Start at the origin (0,0), move 1 unit to the right along the x-axis, and then move 3 units up parallel to the y-axis. Mark this location with a point.<\/li>\n\n\n\n
    2. Plot the point (2, 6):<\/strong>\u00a0From the origin, move 2 units to the right along the x-axis, and then move 6 units up. Mark this location.<\/li>\n\n\n\n
    3. Plot the point (3, 9):<\/strong>\u00a0From the origin, move 3 units to the right along the x-axis, and then move 9 units up. Mark this final location.<\/li>\n<\/ol>\n\n\n\n
      Since the equation y = 3x is a linear function, its graph is a straight line. After plotting the three points, a straight line can be drawn passing through all of them. This line is the visual representation of the function y = 3x.<\/p>\n\n\n\n
      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
      Complete the table and then graph the function. y = 3x X Y 1 2 3 Click to select points on the graph. y 10 9 8 7 The Correct Answer and Explanation is: Completed Table and Graph: x y 1 3 2 6 3 9 ![alt text](https:\/\/i.imgur.com\/8Q6lGqJ.png) Explanation Completing the Table The first step […]<\/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-235488","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235488","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=235488"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235488\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235488"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235488"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235488"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}