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Additional questions evaluate continuity, differentiability, second-derivative inflection points, horizontal asymptote implications, and reasoning with derivatives from given diagrams and expressions. Suitable for timed assessment and skill review.",{"@graph":14,"@context":77},[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-practice-exam-part-a-calculators-not-allowed/311451/",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-practice-exam-part-a-calculators-not-allowed/311451.png","ImageObject",300,407,{"name":42,"@type":43},"Aditya","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-20","2026-09-20",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",18,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69,73],{"name":60,"@type":61,"acceptedAnswer":62},"What is the allowed tool for Part A of this practice exam?","Question",{"text":63,"@type":64},"A calculator may not be used on this part of the exam.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does the exam state about the function domain (unless specified otherwise)?",{"text":68,"@type":64},"The domain is assumed to be all real numbers for which the function is defined, unless specified otherwise.",{"name":70,"@type":61,"acceptedAnswer":71},"How is increasing behavior determined in questions that use a derivative table?",{"text":72,"@type":64},"The function is increasing on intervals where the derivative values shown are positive (and using all stated derivative information, not only the selected values).",{"name":74,"@type":61,"acceptedAnswer":75},"What type of question asks for a differential equation describing a changing quantity?",{"text":76,"@type":64},"The exam includes a grain-silo scenario where the height rate of change is proportional to the square root of the height; 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Available space on the page may be used for scratch work.  \nIn this exam:  \n(1) The domain of a function in this exam is assumed to be all real numbers for which the function is defined, unless specified otherwise.  \n(2) The inverse notation  or the prefix “arc” may be used to indicate an inverse function. For example, the inverse tangent of x may be written as arcsin(x) or as  .  \nCopyright © 2015 by Lucid Education  \nCalculus AB  \n3. A line through the point (2, -2) is tangent to function f at the point ( -2, 6) . What is  ?  \nA) -8 B) -2 C)  D) 6 E) Undefined  \n4. Grain is pouring out of an opening in the bottom of a grain silo. The rate at which the height, h, of the grain in the silo is changing with respect to time, t, is proportional to the square root of the height. Which of the following is a differential equation describing this situation?  \nA) ~~ ~~    \nB) ~~ ~~  ~~    ~~   \nC) ~~ ~~    \nD)     \nE)     \nCalculus AB  \n5. Where is the graph of    concave up?  \nA)   B)   C)   D)   E)    \n6. Shown is a graph of function f.  \nAt which value of x isf continuous but not differentiable?  \nA) a B) b C) c D) d E) e  \nCalculus AB  \n7. The table shows values of , the derivative of function f. Although  is continuous over all real numbers, only selected values of  are shown.  \n\n| x | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| | 4.1 | 2.3 | 1.2 | 0 | -0.6 | -0.8 | -2 | 0 | 1.5 |\n\nIf  has exactly two real zeros, then f is increasing over which of the following intervals?  \nA)     \nB)       \nC)   only D)    \nE)    \n8.  \n.  \nA)  \nB)  \nC)  \nD)  \nE)  \nCalculus AB  \n9. At each point (x, y) on a graph of function f, the graph has a slope equal to  . If the graph of f goes through the point (2, 3), then    \nA)      B)    C)     \nD)      E)     \n10. The derivative of function g is given by    . When is g increasing?  \nA)    \nB)      \nC)     \nD)    \nE)     \nCalculus AB  \n11. Function f is defined as        \nWhich of the following statements is true:  \nI. f is continuous at  .  \nII.  exists.  \nIII. f is differentiable at   \nA) None of the statements are true.  \nB) I only  \nC) II only  \nD) I and II only  \nE) I, II, and III  \n12.  \nCalculus AB  \n13. Shown is a graph of  , the second derivative of function  . The curve is given by the equation  . The graph of  has inflection points at which values of x ?  \nA) b only  \nB) c only  \nC) a and d  \nD) a and c  \nE) d only  \n14. Function f is defined such that for all  , the line  is a horizontal asymptote. Which of the following must be true?  \nA)  is undefined.  \nB)  for all  .  \nC)     \nD) All of the above.  \nE) None of the above.  \nCalculus AB  \n15. Shown in the diagram is a graph of  , the derivative of function  . If  , then   ?  \n16.    \nA)  \nB)  \nC)  \nD)  \nE)","cbCaidXUdsIlm9cW","https://ap.wps.com/l/cbCaidXUdsIlm9cW","pdf",1679566,46,"English","# Section 1, Part A\n## Directions and exam notes\n## Problems 3-16","[{\"question\":\"What is the allowed tool for Part A of this practice exam?\",\"answer\":\"A calculator may not be used on this part of the exam.\"},{\"question\":\"What does the exam state about the function domain (unless specified otherwise)?\",\"answer\":\"The domain is assumed to be all real numbers for which the function is defined, unless specified otherwise.\"},{\"question\":\"How is increasing behavior determined in questions that use a derivative table?\",\"answer\":\"The function is increasing on intervals where the derivative values shown are positive (and using all stated derivative information, not only the selected values).\"},{\"question\":\"What type of question asks for a differential equation describing a changing quantity?\",\"answer\":\"The exam includes a grain-silo scenario where the height rate of change is proportional to the square root of the height; the task is to choose the option that matches the required differential equation form.\"}]","AP Calculus AB - Practice Exam - Part A - Calculators Not Allowed | PDF",116]