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The packet contains structured practice on intervals of increase/decrease and concavity, function transformations, composition and piecewise functions, domain and asymptote analysis, algebraic simplification, logarithmic and exponential evaluations, equation solving, graphing functions, and unit-circle and trig special-values practice aligned to AP readiness.",{"@graph":14,"@context":73},[15,34,56],{"@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/ap-calculus-ab-bc-summer-packet-2026-2027/313053/",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/ap-calculus-ab-bc-summer-packet-2026-2027/313053.png","ImageObject",300,407,{"name":42,"@type":43},"Aran","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-05","2026-09-20",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",27,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"When is the AP Calculus summer assignment officially assigned and due?","Question",{"text":63,"@type":64},"It is officially assigned on the first day of class and is due by Friday, August 7th, 2026.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What testing date is mentioned for this summer material?",{"text":68,"@type":64},"A test covering this material is scheduled for Tuesday, August 11th, 2025.",{"name":70,"@type":61,"acceptedAnswer":71},"Is a calculator required for completing the packet?",{"text":72,"@type":64},"The packet emphasizes that you should complete it without a calculator.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},313053,1789896582,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":101,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":144,"preview_page_count":4},137455076865,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Preview for AP Calculus AB & BC 2026-2027  \nThe optional summer assignment may be completed over the summer, but it will be officially assigned on the first day of class and due by Friday, August 7th, 2026. You may work on it over the summer and tweak it during the first week of class when we will answer questions. You will have a test covering this material Tuesday, August 11th, 2025.  \nWelcome to AP Calculus!  \nCalculus is a fantastic class where you will learn a LOT about slope and area under a curve. You will learn math that ties together algebra, precalculus, and geometry all at once. It is a wonderful class that will have you ready for that AP exam at the end of the year! This packet is meant to review the algebra and precalculus skills that you have learned over the last few years. These skills will help when you start at AP Calculus Parkview in the fall. These concepts will help you to focus on the calculus and not have to worry as much about the basics. Please make sure to show your work and feel free to use additional paper if necessary. Please try your best todo these problems without a calculator. We will review this material during the first week to prepare you for the test. You are welcome to use khan academy if you have any questions or send us an email if you need any hints.  \nWe also wanted to give you a head start on materials needed for the fall. You will need:  \n1. 3 ring binder for math only.  \n2. Notebook paper  \n3. Pencils  \n4. Colored Pencils/Pens or highlighters  \n5. Texas Instruments Graphing Calculator (such as a TI-84) . This calculator will be an investment and should take you through college. These may also be rented from the school.  \nWe are very excited to meet you in the fall and look forward to working with you as a panther at the best high school in the nation. If you have any questions, please e-mail us at [Laura. Kimbro@gcpsk12.org](Laura. Kimbro@gcpsk12.org) (AP Calculus BC) [or](or Deborah.Eckstein@gcpsk12.org)[ ](or Deborah.Eckstein@gcpsk12.org)[Deborah.Eckstein@gcpsk12.org](or Deborah.Eckstein@gcpsk12.org) (AP Calculus AB) . We are going to have a fantastic year ahead!  \nSee you in August,  \nMrs. Tremblay and Ms. Kimbro  \nYou should be able to complete this entire packet WITHOUT a CALCULATOR  \n1)  \nInterval(s) of increase:   Where is g(x) > 0?   Interval(s) of decrease:   Where is g(x) \u003C 0?    \nZero(s):   g(-1) =   g-1(-4) =   and    \ng(x) is   (odd/even/neither) because    \n2)  \nInterval(s) of increase:   Concave Up?    \nInterval(s) of decrease:   Concave Down?    \nZero(s):   h (-1) =    \nh(x) is   (odd/even/neither) because    \n3)  \nInterval(s) of increase:   Concave up or down?    \nInterval(s) of decrease:   Where is f(x) \u003C 0?    \nZero(s):   f(2) =   f(1) =    \nf(x) is   (odd/even/neither) because    \nUse the graphs from questions 1 – 3 for questions 4 – 7  \n4) (f + g)(1) 5) (f o g)(0) 6) g(h(0)) 7) (􀝃 ∙ 􀝂)(−1)  \nWhat transformations would the following expressions have?  \n8) f(x – 2) + 1 9) −􀝂(􀝔 + 4) − 3 10) 2􀝂(−􀝔 − 3)  \nLet 􀢌(􀢞) = 􀫜􀢞􀫜 and 􀢍 (􀢞) = 􀢞􀢞􀫢􀫚 , 􀢞 ≠ −􀫚 to find the following:  \n11a)Domain of f(x): b)Domain of g(x):  \nZero(s) of f(x): Zero(s) of g(x):  \nc) Find (f o g)(1) d) Find g((f(1)) e) Find f(x + 2) f) Find f-1(x)  \n12) Graph the piecewise function 13) Graph 􀝕 = |􀝔 − 2| + 1  \nf(1) =   f(3) =   Is f(x) continuous at x = 1?  \n(Questions 14 – 19) Find the domain of each function.  \n14) f(x) = ln(x + 3)– 2 15) 􀝃 (􀝔) = 􀯫22􀯫44 16) ℎ (􀝔) = 􀯫􀯫22􀯫􀯫(can only take a log of positive number) (denominator can’t equal 0) (denominator can’t equal 0)  \n17)􀝆 (􀝔) = 􀯘~~ ~~􀳣~~ ~~ 18) 􀝇 (􀝔) = √􀝔 − 3 19) 􀝕 = 2􀯫􀯫(denominator can’t equal 0) (radicand ≥ 0) (radicand ≥ 0)  \n(Questions 20 – 22) Find the vertical and horizontal asymptotes Use your rules. Watch out for holes!  \n20) 􀝂 (􀝔) = 􀯫3 VA: HA:  \n21) 􀝃 (􀝔) = 􀯫􀯫241 VA: HA:  \n22) 􀝂 (􀝔) = 􀯫~~ ~~3~~ ~~−􀯫32􀯫−218􀯫 VA: HA:  \n(Question 23-24) Slope: 􀢓 = 􀢟􀢞􀫛􀫛~~ ~~−􀢟􀢞􀫚􀫚 and Point slope formula: 􀢟 − 􀢟 􀫚 = 􀢓 (􀢞 − 􀢞􀫚)  \n23) a)Write the equation of the line","cbCaislWtACV58FE","https://ap.wps.com/l/cbCaislWtACV58FE","pdf",337520,"English","# Summer assignment instructions\n# Review and practice problems\n## Functions, graphs, and intervals\n## Transformations, composition, and piecewise functions\n## Domain, continuity, and asymptotes\n## Equations, sigma notation, and simplification\n## Logs, exponentials, and unit circle/trigonometry\n## Graphing and solving over intervals","[{\"question\":\"When is the AP Calculus summer assignment officially assigned and due?\",\"answer\":\"It is officially assigned on the first day of class and is due by Friday, August 7th, 2026.\"},{\"question\":\"What testing date is mentioned for this summer material?\",\"answer\":\"A test covering this material is scheduled for Tuesday, August 11th, 2025.\"},{\"question\":\"Is a calculator required for completing the packet?\",\"answer\":\"The packet emphasizes that you should complete it without a calculator.\"}]","AP Calculus AB & BC Summer Packet 2026-2027 | PDF",15]