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Answer keys and step-by-step explanations reinforce the substitution and equation-solving workflow.",{"@graph":14,"@context":64},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/function-notation-practice-problems-and-answer-keys/271957/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/function-notation-practice-problems-and-answer-keys/271957.png","ImageObject",300,407,{"name":42,"@type":43},"Genevieve","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-09-20","2026-09-15",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58],{"name":59,"@type":60,"acceptedAnswer":61},"Where can the solutions and final answers be found?","Question",{"text":62,"@type":63},"An answer key lists the final answers, and the document provides step-by-step explanations showing the substitution or equation-solving process.","Answer","https://schema.org",{"og:url":32,"og:type":66,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":68,"canonical":32},"index,follow",{"doc_id":70,"site_id":7},271957,1789462458,{"code":4,"msg":73,"data":74},"success",[75,79,83,86,91,96,101,106,111,114,118],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":76,"show_sort_weight":77,"slug":78},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":80,"show_sort_weight":81,"slug":82},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":84,"slug":85},70,"exam",{"id":87,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},5,"Comic",60,"comic",{"id":92,"doc_module":4,"doc_module_name":25,"category_name":93,"show_sort_weight":94,"slug":95},6,"Technology",50,"technology",{"id":97,"doc_module":4,"doc_module_name":25,"category_name":98,"show_sort_weight":99,"slug":100},7,"Healthcare",40,"healthcare",{"id":102,"doc_module":4,"doc_module_name":25,"category_name":103,"show_sort_weight":104,"slug":105},8,"Research & Report",30,"research-report",{"id":107,"doc_module":4,"doc_module_name":25,"category_name":108,"show_sort_weight":109,"slug":110},9,"Religion & Spirituality",20,"religion-spirituality",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":109,"slug":113},"World Cup","world-cup",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":115,"slug":117},10,"Lifestyle","lifestyle",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":87,"slug":121},19,"General","general",{"code":4,"msg":73,"data":123},{"doc_id":70,"user_id":124,"nickname":42,"user_avatar":125,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":131,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":12,"update_tm":71,"read_time":102},1374391974585,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Practice 􀀏 Progress 􀀏 Succeed | SSAT Upper-Level Math  \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)  \nFunction Notation  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nf (x) means “the value of the function f at x.” To evaluate, substitute the given number everywhere you see x and simplify. To solve f(x) = k, set the rule equal to k and solve for x. The letter (like f , g , h) is just a name.  \n▷ Example: Given f (x) = 4x 􀀀 9, 􀀂nd f (5) . Work: Substitute 5 for x: f (5) = 4(5) 􀀀 9 = 20 􀀀 9. ⋆ Answer: 11  \nx  \n f  \nf (x)  \nInput x, output f (x) .  \n♦ Practice Problems  \nEvaluate or solve as directed.  \n1. f (x) = 4x 􀀀 9; f (5) = 8. g (x) = x2 􀀀 1; g (x) = 24 , x =  \n2. g (x) = x2 + 2; g (􀀀3) =  \n9. h (x) = 􀀀x + 10; h (x) = 3 , x =  \n3. h (x) = 􀀀2x + 7; h(0) = 10. f (x) = 6x; f (x) = 42 , x =  \n4. f (x) = 3x2 􀀀 x; f (2) =   11. f (x) = x2 + 3x; f (􀀀2) =  \n5. p (x) = x + 6 ; p(8) = 12. g (x) = |x 􀀀 4|; g(1) =  \n2      \n6. g (x) = 7 􀀀 3x; g (􀀀4) = 13. f (x) = 5x + 1; f (3) =  \n7. f (x) = 2x + 5; f (x) = 17 , x =  \n14. f (x) = 2x 􀀀 3; f (x) = 9 , x =  \n♦ Word Problems  \n15. A function gives cost C(x) = 3x + 5 for x items. Find C(4) .  \n16. f (x) = 2x + 1 models a pattern. For what x is f(x) = 15?  \n17. A ball’s height is h(t) = 20 􀀀 5t meters after t seconds. Find h(2) .  \n18. Given g(x) = x2 , 􀀂nd g(6) .  \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  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SSAT Upper-Level Math  \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. 11 7. 6 13. 16  \n2. 11 8. x = 􀀆5 14. 6  \n3. 7 9. 7 15. 17  \n4. 10 10. 7 16. 7  \n5. 7 11. 􀀀2 17. 10  \n6. 19 12. 3 18. 36  \nStep-by-Step Explanations  \n1. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Substitute 5: 4(5) 􀀀 9 = 20 􀀀 9 = 11 . So the 􀀂nal answer is 11.  \n2. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Substitute 􀀀3: (􀀀3)2 + 2 = 9 + 2 = 11 . So the 􀀂nal answer is 11.  \n3. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Substitute 0: 􀀀2(0) + 7 = 7 . So the 􀀂nal answer is 7.  \n4. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Substitute 2: 3(2)2 􀀀 2 = 3(4) 􀀀 2 = 12 􀀀 2 = 10 . So the  \n􀀂nal answer is 10.  \n5. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Substitute 8: 8~~ ~~+2~~ ~~6 = 142 = 7 . So the 􀀂nal answer is 7.  \n6. A","cbCaig59ux6AeSbd","https://ap.wps.com/l/cbCaig59ux6AeSbd","pdf",280081,"English","# Quick Review and Helpful Hints\n## f(x) Meaning and How to Evaluate\n## Practice Problems\n## Word Problems\n# Answer Keys\n# Step-by-Step Explanations","[{\"question\":\"Where can the solutions and final answers be found?\",\"answer\":\"An answer key lists the final answers, and the document provides step-by-step explanations showing the substitution or equation-solving process.\"}]","Function Notation - Practice Problems and Answer Keys | PDF"]