[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-497429-105":59,"doc-detail-497429-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","reading-function-values-colorado-cmas-grade-8-math","Reading Function Values - Colorado CMAS Grade 8 Math","","Reading Function Values practice for Colorado CMAS Grade 8 focuses on evaluating functions using substitution and simplifying expressions. It teaches how function notation f(x) represents an output for a given input, including handling negative values safely with parentheses. The worksheet includes quick review examples, 20 evaluated function problems across different letters (f, g, h), and word problems involving phone plan cost, diver depth, bakery profit, and ball height, with an answer key and step-by-step explanations.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/reading-function-values-colorado-cmas-grade-8-math/497429/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/reading-function-values-colorado-cmas-grade-8-math/497429.png","ImageObject",300,407,{"name":92,"@type":93},"Nguyễn Văn Học","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-02",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does f(x) mean in function notation?","Question",{"text":112,"@type":113},"f(x) is a name tag for the output of the function f when the input is x. To find it, substitute the given number for x and simplify.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you evaluate a function like f(x) = 3x − 4 at a value?",{"text":117,"@type":113},"Replace every x with the input value, keep signs correct (use parentheses for negatives), then simplify the arithmetic.",{"name":119,"@type":110,"acceptedAnswer":120},"How are word problems with functions evaluated and interpreted?",{"text":121,"@type":113},"Substitute the given quantity (like minutes, seconds, or time) into the function, compute the value, and explain what the result represents (cost, depth, profit, or height).","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},497429,1791328965,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39,"preview_page_count":4},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","Practice • Progress • Succeed | Colorado CMAS Grade 8 Math [8.F.A, 8.F.A.1]  \n  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nReading Function Values  \n\n| Name:   | D | ate:   | S | core:   / 24 |\n| --- | --- | --- | --- | --- |\n\nQuick Review  \n⋄ Example: If f(x) = 3x − 4, find f(5) and f(−2) .  \n⇒ For f(5), replace every x with 5 : f(5) = 3(5) − 4 = 15 − 4 = 11 . For f (−2), replace x with −2 — and notice the parentheses keep the sign safe: f (−2) = 3(−2) − 4 = −6 − 4 = −10 . Substitute first, then do the arithmetic. That’s the whole trick!  \nAnswer: f(5) = 11, f(−2) = −10  \nFunction notation f (x) is just a name tag for the output. When you see f(3), it means “the output of the function f when the input is 3.” To find it, substitute the number wherever x appears, then simplify. For example, if f (x) = 2x + 1, then f(3) = 2(3) + 1 = 7 . The letter doesn’t matter—g(t) or h (n) work the same way. Be careful with negatives: always put the input inside parentheses before you simplify, so signs don’t get lost.  \n\n| \u003Cbr>PRACTICE |  |  |\n| --- | --- | --- |\n| Evaluate each function at the given input. |  |  |\n| 1. f (x) = x + 6; f(2) |  | 11. h (n) = −2n + 8; h(3)   |\n| 2. f (x) = x − 9; f(15) |  | 12. h (n) = −n − 1; h (−5) |\n| 3. f (x) = 4x; f(3) |  | 13. f (x) = x2 ; f(4)   |\n| 4. f (x) = 2x + 1; f(6) |  | 14. f (x) = x2 + 1; f (−3)   |\n| 5. f (x) = 5x − 3; f(4) |  | 15. f (x) = ~~x~~2 + 4; f(8)   |\n| 6. f (x) = 3x + 7; f(0) |  | 16. f (x) = ~~1~~3x − 2; f(9)   |\n| 7. f (x) = x + 6; f (−4) |  | 17. f (x) = 7x; f (−2) |\n| 8. f (x) = 2x − 5; f (−3) |  | 18. g (x) = 3x − 10; g(10)   |\n| 9. g (t) = 6t + 2; g(5) |  | 19. f (x) = 2x2 − 3; f(2)   |\n| 10. g (t) = 10 − t; g(7) |  | 20. f (x) = −4x + 1; f (−1)   |\n\n♦ Word Problems  \n21. A phone plan costs C (m) = 0 . 10m + 20 dollars, where m is the number of minutes used. Find C(150) and explain what it means.    \n22. A diver’s depth in feet is d(t) = −6t, where t is the number of seconds since the dive started. Find d(8) and say what it tells you.    \n23. A bakery’s profit is P (x) = 4x − 50 dollars when it sells x cakes. Find P(20) and explain whether the bakery made or lost money.    \n24. The height of a ball in feet is h (t) = 40 − 5t2 , where t is the time in seconds. Find h(2) and explain what it represents.  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nPractice • Progress • Succeed | Colorado CMAS Grade 8 Math [8.F.A, 8.F.A.1]  \n  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAnswer Keys  \n1. 8 13. 16  \n2. 6 14. 10  \n3. 12 15. 8  \n4. 13 16. 1  \n5. 17 17.  −14   \n6. 7 18. 20  \n7. 2 19. 5  \n8. −11 20. 5  \n9. 32 21.  C(150) = 35; the plan costs $35 for 150 minutes  10. 3 22.  d(8) = −48; the diver is 48 feet below the surface  11. 2 23. P(20) = 30; the bakery made $30 profit  \n12. 4 24.  h(2) = 20; the ball is 20 feet high after 2 seconds   \nStep-by-Step Explanations  \n1. Substitute x = ","cbCaifTNJsO1C08F","https://ap.wps.com/l/cbCaifTNJsO1C08F","pdf",410538,"English","# Quick Review\n# Function Notation and Substitution\n# Practice\n## Evaluate Each Function at the Given Input\n## Word Problems\n# Answer Keys\n# Step-by-Step Explanations","[{\"question\":\"What does f(x) mean in function notation?\",\"answer\":\"f(x) is a name tag for the output of the function f when the input is x. To find it, substitute the given number for x and simplify.\"},{\"question\":\"How do you evaluate a function like f(x) = 3x − 4 at a value?\",\"answer\":\"Replace every x with the input value, keep signs correct (use parentheses for negatives), then simplify the arithmetic.\"},{\"question\":\"How are word problems with functions evaluated and interpreted?\",\"answer\":\"Substitute the given quantity (like minutes, seconds, or time) into the function, compute the value, and explain what the result represents (cost, depth, profit, or height).\"}]","Reading Function Values - Colorado CMAS Grade 8 Math | PDF",1790955338]