[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314716-105":59,"doc-detail-314716-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","calc-abbc-unit-1-practice-multiple-choice-questions","Calc AB/BC Unit 1 Practice - Multiple Choice Questions","","AP Calculus AB/BC Unit 1 practice set focused on core topics such as continuity, limits, asymptotes, differentiability, the Intermediate Value Theorem, and properties of functions and graphs. Questions test recognizing when statements are necessarily true or false, interpreting graphical information for maxima/minima and limits, and determining domains or values implied by continuity. Items also evaluate how derivative conditions relate to extrema and how polynomial critical points determine zeros.",{"@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/calc-abbc-unit-1-practice-multiple-choice-questions/314716/",{"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/calc-abbc-unit-1-practice-multiple-choice-questions/314716.png","ImageObject",300,407,{"name":92,"@type":93},"Eliana","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",25,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"Which concepts are emphasized in this Unit 1 practice set?","Question",{"text":113,"@type":114},"It emphasizes continuity, limits, asymptotes, differentiability, extrema (relative maxima/minima), domains, and the Intermediate Value Theorem, using graph-based and function-based multiple-choice questions.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the Intermediate Value Theorem show up in the questions?",{"text":118,"@type":114},"Several problems ask what must be true when a function is continuous on a closed interval with given endpoint values, guaranteeing the existence of solutions for specific function values within the interval.",{"name":120,"@type":111,"acceptedAnswer":121},"What types of statements are commonly tested as “must be true” or “false”?",{"text":122,"@type":114},"The questions often compare properties like continuity vs. differentiability at a point, existence of limits, domain restrictions, and derivative conditions at maxima/minima, choosing which option follows necessarily from the given information.","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},314716,1789967015,{"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":145,"read_time":146,"preview_page_count":4},4398048949847,"https://ap-avatar.wpscdn.com/avatar/400002536579ef2da7f?_k=1778318612642679267","1. The graph of a function f is shown above. Which of the following statements about f is false?  \na. f is continuous at x = a .  \nb. f has a relative maximum at x = a .  \nc. x = a is in the domain off.  \n[d. li](d. li) f (x ) = li f (x ) .  \nx→a x→a  \ne. a f (x ) exists.  \n2. For x ≥ 0 , the horizontal line y = 2 is an asymptote for the graph of the function f. Which of the following statements must be true?  \na. f ( 0 ) = 2  \nb. f (x ) ≠ 2 for all x ≥ 0  \nc. f ( 2 ) is undefined.  \nd. 2 f (x ) = ∞  \ne.  f (x ) = 2  \nAP Calc AB/BC Unit 1 Practice  \n1 of 17 [turksmathstuff.com](turksmathstuff.com)  \n[turksmathstuff.com](turksmathstuff.com)[ ](turksmathstuff.com)[youtube.com/turksvids](youtube.com/turksvids)  \n3. Let f be a function that is continuous on the closed interval 2, 4  with f ( 2 ) = 10 and f ( 4 ) = 20 . Which of the following is guaranteed by the Intermediate Value Theorem?  \na. f (x ) = 13 has at least one solution in the open interval ( 2, 4 ) .  \nb. f ( 3) = 15 .  \nc. f attains a maximum on the open interval ( 2, 4 ) .  \nd. f ′(x ) = 5 has at least one solution in the open interval ( 2, 4 ) .  \ne. f ′(x ) > 0 for all x in the open interval ( 2, 4 ) .  \n4. If 3 f (x ) = 7 , which of the following must be true?  \nI. f is continuous at x = 3 .  \nII. f is differentiable at x = 3 .  \nIII. f ( 3) = 7 .  \na. None.  \nb. II only.  \nc. III only.  \nd. I and III only.  \ne. I, II, and III  \nAP Calc AB/BC Unit 1 Practice  \n2 of 17 [turksmathstuff.com](turksmathstuff.com)  \n[turksmathstuff.com](turksmathstuff.com)[ ](turksmathstuff.com)[youtube.com/turksvids](youtube.com/turksvids)  \n5. If a f (x ) = L , where L is a real number, which of the following must be true?  \na. f ′(a ) exists.  \nb. f (x ) is continuous at x = a .  \nc. f (x ) is defined at x = a .  \nd. f (a ) = L  \ne. none of the above.  \n6. At x = 3 , the function given by f (x ) = ⎨⎧⎪⎪⎩  \na. undefined.  \nb. continuous but not differentiable.  \nc. differentiable but not continuous.  \nd. neither continuous nor differentiable.  \ne. both continuous and differentiable.  \nAP Calc AB/BC Unit 1 Practice  \n2 x  \n,  \n6x − 9,  \nx \u003C 3  \nx ≥ 3  \nis  \n3 of 17 [turksmathstuff.com](turksmathstuff.com)  \n[turksmathstuff.com](turksmathstuff.com)[ ](turksmathstuff.com)[youtube.com/turksvids](youtube.com/turksvids)  \n7. Which of the following are continuous at x = 1?  \nI. ln (x )  \nII. ex  \nIII. ln (ex − 1)  \na. I only  \nb. II only  \nc. I and II only  \nd. II and III only  \ne. I, II, and III  \n8. If the function f is continuous for all real numbers and if f (x ) = xx242 when x ≠ −2 , then f (−2) =  \na. −4  \nb. −2  \nc. −1  \nd. 0  \ne. 2  \nAP Calc AB/BC Unit 1 Practice  \n4 of 17 [turksmathstuff.com](turksmathstuff.com)  \n[turksmathstuff.com](turksmathstuff.com)[ ](turksmathstuff.com)[youtube.com/turksvids](youtube.com/turksvids)  \n9. Iff is a continuous function on a, b , which of the following is necessarily true?  \na. f ′ exists on (a, b) .  \nb. If f (x0 ) is a maximum off, then f ′(x0 ) = 0 .  \nc. 0 f (x ) = f 0 x  for x0 ∈(a, b) .  \nd. f ′(x ) = 0 for some x ∈a, b .  \ne. The graph of f ′ is a straight line.  \n⎧ x 2 − 4  \nf (x ) = ⎨⎪  x − 2 ⎩⎪ 1  \nifx ≠ 2  \nifx = 2  \n10. Let f be the function defined above. Which of the following statements about f are true?  \nI. f has a limit at x = 2 .  \nII. f is continuous at x = 2 .  \nIII. f is differentiable at x = 2 .  \na. I only.  \nb. II only.  \nc. III only.  \nd. I and II only.  \ne. I, II, and III.  \nAP Calc AB/BC Unit 1 Practice  \n5 of 17 [turksmathstuff.com](turksmathstuff.com)  \n[turksmathstuff.com](turksmathstuff.com)[ ](turksmathstuff.com)[youtube.com/turksvids](youtube.com/turksvids)  \n11. What is the domain of the function f given by f (x ) = xx~~ ~~ ?  \na. {x : x ≠ 3}  \nb. {x :x ≤ 2}  \nc. {x :x ≥ 2}  \nd. {x :x ≥ 2 and x ≠ 3}  \ne. {x : x ≥ 2 and x ≠ 3}  \n12. What is lim ~~ ~~x~~ ~~2~~ ~~−~~ ~~4~~ ~~2~~ ~~ ? x→∞ 2 + x − 4x  \na. −2  \nb. − ~~ ~~14  \n1 c. ~~ ~~  \n2  \nd. 1  \ne. The limit does not exist.  \nAP Calc AB/BC Unit 1 Practice  \n6 of 17","cbCaiaROUHXfNPlx","https://ap.wps.com/l/cbCaiaROUHXfNPlx","pdf",2424897,17,"English","# Multiple Choice Questions\n## Continuity, Limits, and Asymptotes\n## Derivatives, Extrema, and Theorems","[{\"question\":\"Which concepts are emphasized in this Unit 1 practice set?\",\"answer\":\"It emphasizes continuity, limits, asymptotes, differentiability, extrema (relative maxima/minima), domains, and the Intermediate Value Theorem, using graph-based and function-based multiple-choice questions.\"},{\"question\":\"How does the Intermediate Value Theorem show up in the questions?\",\"answer\":\"Several problems ask what must be true when a function is continuous on a closed interval with given endpoint values, guaranteeing the existence of solutions for specific function values within the interval.\"},{\"question\":\"What types of statements are commonly tested as “must be true” or “false”?\",\"answer\":\"The questions often compare properties like continuity vs. differentiability at a point, existence of limits, domain restrictions, and derivative conditions at maxima/minima, choosing which option follows necessarily from the given information.\"}]","Calc AB/BC Unit 1 Practice - Multiple Choice Questions | PDF",1789901682,43]