{"id":182719,"date":"2025-01-14T18:04:59","date_gmt":"2025-01-14T18:04:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182719"},"modified":"2025-01-14T18:05:02","modified_gmt":"2025-01-14T18:05:02","slug":"1-a-recipe-book-shows-measurement-conversions-for-tablespoons-to-cups","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/14\/1-a-recipe-book-shows-measurement-conversions-for-tablespoons-to-cups\/","title":{"rendered":"1. A recipe book shows measurement conversions for tablespoons to cups"},"content":{"rendered":"\n
    \n
  1. A recipe book shows measurement conversions for tablespoons to cups. It shows that 8 tablespoons converts to 0.5 cup and 24 tablespoons converts to 1.5 cups.<\/li>\n\n\n\n
  2. Which function is undefined for x = 0? y = RootIndex 3 StartRoot x minus 2 EndRoot y = StartRoot x minus 2 EndRoot y = RootIndex 3 StartRoot x + 2 EndRoot y = StartRoot x + 2 EndRoot<\/li>\n<\/ol>\n\n\n\n

    The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

    Correct Answer:<\/h3>\n\n\n\n

    The function y=x\u22122y = \\sqrt{x – 2}<\/strong> is undefined for x=0x = 0.<\/p>\n\n\n\n

    \n\n\n\n

    Explanation (300 words):<\/h3>\n\n\n\n

    To determine which function is undefined at x=0x = 0, let’s analyze each of the given functions:<\/p>\n\n\n\n

      \n
    1. y=x\u221223y = \\sqrt[3]{x – 2}:<\/strong>
      This represents the cube root of x\u22122x – 2. The cube root function is defined for all real numbers because the cube root of a negative number is still a real number (e.g., \u221283=\u22122\\sqrt[3]{-8} = -2). Substituting x=0x = 0, we get y=\u221223y = \\sqrt[3]{-2}, which is valid. So, this function is defined<\/strong> at x=0x = 0.<\/li>\n\n\n\n
    2. y=x\u22122y = \\sqrt{x – 2}:<\/strong>
      This represents the square root of x\u22122x – 2. The square root function is only defined for non-negative numbers because the square root of a negative number is not a real number. Substituting x=0x = 0, we get y=\u22122y = \\sqrt{-2}, which is undefined in the real number system. Therefore, this function is undefined<\/strong> at x=0x = 0.<\/li>\n\n\n\n
    3. y=x+23y = \\sqrt[3]{x + 2}:<\/strong>
      Similar to the first function, this is a cube root function. Substituting x=0x = 0, we get y=23y = \\sqrt[3]{2}, which is defined. Hence, this function is defined<\/strong> at x=0x = 0.<\/li>\n\n\n\n
    4. y=x+2y = \\sqrt{x + 2}:<\/strong>
      This represents the square root of x+2x + 2. Substituting x=0x = 0, we get y=2y = \\sqrt{2}, which is defined because 2 is non-negative. Hence, this function is defined<\/strong> at x=0x = 0.<\/li>\n<\/ol>\n\n\n\n

      Conclusion:<\/h3>\n\n\n\n

      The square root function y=x\u22122y = \\sqrt{x – 2} is undefined for x=0x = 0 because it involves taking the square root of a negative number (\u22122-2), which is not real.<\/p>\n","protected":false},"excerpt":{"rendered":"

      The correct answer and explanation is: Correct Answer: The function y=x\u22122y = \\sqrt{x – 2} is undefined for x=0x = 0. Explanation (300 words): To determine which function is undefined at x=0x = 0, let’s analyze each of the given functions: Conclusion: The square root function y=x\u22122y = \\sqrt{x – 2} is undefined for x=0x […]<\/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-182719","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182719","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=182719"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182719\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182719"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182719"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}