{"id":224450,"date":"2025-06-03T06:20:13","date_gmt":"2025-06-03T06:20:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=224450"},"modified":"2025-06-03T06:20:15","modified_gmt":"2025-06-03T06:20:15","slug":"grade-math-dca-1-23-items-all-items-11-20-21-22-23-p-done","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/grade-math-dca-1-23-items-all-items-11-20-21-22-23-p-done\/","title":{"rendered":"Grade Math DCA 1 [23 Items] All Items 11-20 21 22 23 P Done"},"content":{"rendered":"\n

Grade Math DCA 1 [23 Items] All Items 11-20 21 22 23 P Done ? Which representation shows y as a function of x? A.? X y -4 -8 0 3 1 2 -4 10 B.? X y -1 0 -1 5 -1 10 -1 15 C.? X y -2 -7 0 1 8 1 9 18<\/p>\n\n\n\n

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

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

The correct answer is: A<\/strong><\/p>\n\n\n\n

\n\n\n\n

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

A function<\/strong> is a relation in which each input (x-value) has exactly one output<\/strong> (y-value). That means for every x, there must be only one<\/strong> corresponding y. Let\u2019s analyze each option:<\/p>\n\n\n\n

\n\n\n\n

Option A:<\/strong><\/h4>\n\n\n\n
x<\/th>y<\/th><\/tr><\/thead>
-4<\/td>-8<\/td><\/tr>
0<\/td>3<\/td><\/tr>
1<\/td>2<\/td><\/tr>
-4<\/td>10<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Notice that the x-value -4<\/strong> appears twice<\/strong>, once with y = -8 and again with y = 10. This means that one input leads to two different outputs<\/strong>, which violates the definition of a function<\/strong>.<\/p>\n\n\n\n

So, A is NOT a function<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Option B:<\/strong><\/h4>\n\n\n\n
x<\/th>y<\/th><\/tr><\/thead>
-1<\/td>0<\/td><\/tr>
-1<\/td>5<\/td><\/tr>
-1<\/td>10<\/td><\/tr>
-1<\/td>15<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Here, -1<\/strong> is repeated as an x-value four times, each time with a different y-value (0, 5, 10, 15). Again, this means one input produces multiple outputs<\/strong>, so B is also NOT a function<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Option C:<\/strong><\/h4>\n\n\n\n

A mapping diagram is shown. Let’s examine it:<\/p>\n\n\n\n

    \n
  • x = -2 \u2192 y = -7<\/li>\n\n\n\n
  • x = 0 \u2192 y = 1<\/li>\n\n\n\n
  • x = 8 \u2192 y = 1<\/li>\n\n\n\n
  • x = 9 \u2192 y = 18<\/li>\n<\/ul>\n\n\n\n

    Each x-value is paired with only one<\/strong> y-value. Even though both x = 0 and x = 8 lead to y = 1, that\u2019s allowed<\/strong> \u2014 multiple x-values can point to the same y-value in a function. The key is that each x has only one arrow coming out<\/strong>.<\/p>\n\n\n\n

    Therefore, Option C does represent a function.<\/strong><\/p>\n\n\n\n

    \n\n\n\n

    Final Answer: C<\/strong><\/h3>\n\n\n\n

    Because it is the only representation in which each input (x) corresponds to exactly one output (y), satisfying the definition of a function.<\/p>\n\n\n\n

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

    Grade Math DCA 1 [23 Items] All Items 11-20 21 22 23 P Done ? Which representation shows y as a function of x? A.? X y -4 -8 0 3 1 2 -4 10 B.? X y -1 0 -1 5 -1 10 -1 15 C.? X y -2 -7 0 1 8 1 […]<\/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-224450","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224450","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=224450"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224450\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=224450"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=224450"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=224450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}