What is the range of y = -3x + 1 for the domain of {2,8)?
A. 8
B. 2
C. -23
D. -5<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the range of the function ( y = -3x + 1 ) for the domain ( {2, 8} ), we need to calculate the corresponding ( y )-values for each ( x )-value in the domain and then determine the range.<\/p>\n\n\n\n The given function is ( y = -3x + 1 ), which is a linear function. This means that for each value of ( x ), we can substitute it into the equation to find the corresponding value of ( y ).<\/p>\n\n\n\n The domain is ( {2, 8} ), meaning we need to find the ( y )-values when ( x = 2 ) and ( x = 8 ).<\/p>\n\n\n\n The range of a function is the set of all possible values of ( y ) corresponding to the values of ( x ) in the domain. From the calculations above, we found that for the domain ( {2, 8} ), the corresponding ( y )-values are:<\/p>\n\n\n\n Thus, the range of the function for the domain ( {2, 8} ) is the set of ( y )-values ( {-5, -23} ).<\/p>\n\n\n\n From the options provided:<\/p>\n\n\n\n We can see that none of these options directly represent the full range (which is ( {-5, -23} )), but since the range includes the value ( -5 ), the correct answer from the given choices is D. -5<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the range of y = -3x + 1 for the domain of {2,8)?A. 8B. 2C. -23D. -5 The Correct Answer and Explanation is: To find the range of the function ( y = -3x + 1 ) for the domain ( {2, 8} ), we need to calculate the corresponding ( y )-values […]<\/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-162195","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162195","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=162195"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162195\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162195"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162195"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162195"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understanding the function<\/h3>\n\n\n\n
Step 2: Substituting the values from the domain<\/h3>\n\n\n\n
\n
[
y = -3(2) + 1 = -6 + 1 = -5
]
So, when ( x = 2 ), ( y = -5 ).<\/li>\n\n\n\n
[
y = -3(8) + 1 = -24 + 1 = -23
]
So, when ( x = 8 ), ( y = -23 ).<\/li>\n<\/ol>\n\n\n\nStep 3: Determining the range<\/h3>\n\n\n\n
\n
Step 4: Identifying the correct answer<\/h3>\n\n\n\n
\n