[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314714-105":59,"doc-detail-314714-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","ap-classroom-ab-calc-exam-review-unit-1-limits-mc-practice-test","AP Classroom AB Calc Exam Review - Unit 1 Limits - MC Practice Test","","AP Classroom AB Calc exam review MC practice test covering core topics in AB Calculus. Unit 1 focuses on limits and continuity, including identifying removable, jump, and vertical asymptote discontinuities, and using continuity conditions at specific x-values. It also includes working with trigonometric and piecewise-style graphs to compare instantaneous versus average rates of change. Later units address derivatives, differentiation applications, chain rule processes, inverse function derivatives, and Mean Value/Extreme Value Theorem questions.",{"@graph":69,"@context":123},[70,84,106],{"@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/ap-classroom-ab-calc-exam-review-unit-1-limits-mc-practice-test/314714/",{"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/ap-classroom-ab-calc-exam-review-unit-1-limits-mc-practice-test/314714.png","ImageObject",300,407,{"name":92,"@type":93},"Xiajie","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you identify the type of discontinuity at x=2 in the limits unit?","Question",{"text":113,"@type":114},"The practice asks which statement is true about continuity at x=2, including whether there is a removable discontinuity, a jump discontinuity, or discontinuity caused by a vertical asymptote.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What process is used to find h'(x) when h(x)=(1+f(3x))^2?",{"text":118,"@type":114},"Differentiate the outside square and then apply the chain rule to f(3x), multiplying by the derivative of 3x.",{"name":120,"@type":111,"acceptedAnswer":121},"When can the Mean Value Theorem be applied on an interval for f(x)?",{"text":122,"@type":114},"The test lists candidate intervals and checks the required conditions: continuity on the closed interval and differentiability on the open interval.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},314714,1789901680,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145,"preview_page_count":4},8814010472675,"https://avatar.qwps.com/avatar/WGlhamll","AP Classroom AB Calc Exam Review MC Practice Test  \n# Unit 1 Limits:\n\nA function f satisfies.Which of the following could be the graph of f?  \n1.  \nB  \n2.  \nThe graph of the function fis shown above.Which of the following expressions equals 2?  \nf(3)  \nlimf(x)  \nGraph of f  \n3.  \nThe function fis defined above.Which of the following statements is true?  \nfis continuous at a=2.  \nfhas a removable discontinuity at x=2.  \nf has a jump discontinuity at x=2.  \nfhas a discontinuity due to a vertical asymptote at x=2.  \n4.  \nLet f be the function defined above.For what values of bis f continuous at x=2?  \n0.508 only  \n0.647 only  \n-1.282 and 0.508  \n-2.998 and 0.647  \n5.  \n0,which of the following statements must be false?  \nfis continuous at x=6.  \n6.  \nLet g be the function defined above,where k is a constant.For what value of k is g continuous at z=-3?  \n-3  \nC  \n◎  \n0  \n7.  \nLet f be the function defined by.Which of the following statements are true?  \nI.The graph of f has a horizontal asymptote at y=2 becauseII.The graph of fhas a horizontal asymptote at y=2 becauseⅢI.The graph of fhas a vertical asymptote at x =-1 because  \nl onlyⅢlonlyl and Il only  \nI,II,andⅢ  \n# Unit 2 Derivatives:\n\n8.  \n\n| T   | 0   | 1   |\n| --- | --- | --- |\n| f(x)   | 1   | 2   |\n\nLet f be thefunction given by f(z)=2²Selected values of fare gien i th table above.f the values in the table are use t aproximate f'(0.5),what is thediferencebetween the approximation and the actual value of f'(0.5)?  \nA0  \n0.433  \n0.5671  \n9.  \nThe graph of the trigonometric function f(x)is shown below for a≤x≤b.At which of the following pointson the graph of f(x)could the instantaneous rate of change of f(x)equal the average rate of change of f(x)on the interval [a,b]]?  \nA  \nA  \nB  \nB  \nC  \n◎  \nD  \n# Graph of f\n\n10.  \nLet f be the function defined above.Which of the following statements is true?  \nAfis neither continuous nor differentiable at x=2.  \nBfis continuous but not differentiable at x=2.  \nCf is differentiable but not continuous at x=2.  \n◎fis both continuous and differentiable at x=2.  \n-5e  \n5e  \n12.  \nThe function fis given byf(x)=(x³+bx+6)g(æ),where bis a constant and gis a differentiable function satisfyingg(2)=3andg'(2)=-1.For what value of bis f'(2)=0?  \n-7  \nB  \n-10  \nC  \n-12  \n-22  \n# Unit 3:Differentiation Applications:\n\nGraph of fGraph of g  \n13.  \n,then h'(3)=The graphs of the functions f and g are shown above.It  \n14.  \nLet f be a differentiable function.If h(x)=(1+f(3x))²,which of the following gives a correct process for finding h'(x)?  \nAh'(x)=2(1+f(3x))  \nh'(z)=2(1+f(3x))·f'(3x)B  \nCh'(x)=2(1+f(3x))·f'(x)  \n◎h'(x)=2(1+f(3x))·f'(3x)·3  \n→X  \nThe graph of the decreasing differentiable function f(x)is shown above.Also shown is the linetangent to the graph off(x)at the point(4,6).Letg be the inverse off.Which of the followingstatements aboutg'is true?  \n⑧  \nC  \n◎  \n16.  \n   \nLet f be the increasing function defined by f(x)=x³+2x²+4x+5,where f(-1)=2.If gis the inverse function of f,which of the following is a correct expression forg'(2)?A⑧  \ng(2)=f'(-1)◎g'(2)=f'(2)  \nC  \n◎  \n18.  \n# Graph of f'\n\nThe figure above shows the graph of f',the derivative of the function f.At which of the four indicated values of z is f\"(x)greatest?  \nA  \nA  \n⑧  \nB  \nC  \nC  \nD  \n19.  \nLet f be a differentiable function with f(0)=-4and f(10)=11.Which of the following must be true for some cin the interval(0,10)?  \nAf'(c)=0,since the Extreme Value Theorem applies.  \n⑧,since the Mean Value Theorem applies.  \n◎f'(c)=1.5,since the Intermediate Value Theorem applies.  \n20.  \nLet f be the function given byon the closed interval [-7,7].of the fllowing intervals,on which can the Mean Value Theorem be applied to f?  \n1.[-1,3]because fis continuous on[-1,3]and differentiable on(-1,3).  \n1.[5,7]because fis continuous on[5,7]and differentiable on(5,7).  \nⅢI.[1,5]because fis continuous on[1,5]and differentiable on(1,5).  \nA)NoneB1onlyC1anl lony  \nI,II,andⅢ  \n21.  \n\n| T   | 2   | 3   | 4   | 5","cbCaiapkWNpj2z44","https://ap.wps.com/l/cbCaiapkWNpj2z44","pdf",2226383,22,"English","# Unit 1 Limits\n## Unit 2 Derivatives\n## Unit 3 Differentiation Applications","[{\"question\":\"How do you identify the type of discontinuity at x=2 in the limits unit?\",\"answer\":\"The practice asks which statement is true about continuity at x=2, including whether there is a removable discontinuity, a jump discontinuity, or discontinuity caused by a vertical asymptote.\"},{\"question\":\"What process is used to find h'(x) when h(x)=(1+f(3x))^2?\",\"answer\":\"Differentiate the outside square and then apply the chain rule to f(3x), multiplying by the derivative of 3x.\"},{\"question\":\"When can the Mean Value Theorem be applied on an interval for f(x)?\",\"answer\":\"The test lists candidate intervals and checks the required conditions: continuity on the closed interval and differentiability on the open interval.\"}]","AP Classroom AB Calc Exam Review - Unit 1 Limits - MC Practice Test | PDF",55]