AP预备微积分 2024年真题 附答案和评分标准 AP Pre-Calculus 2024 Real Exam with Answers and Scoring Guidelines.pdfVIP

2024

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APPrecalculus

Free-ResponseQuestions

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AP®Precalculus2024Free-ResponseQuestions

PRECALCULUS

SECTIONII,PartA

Time—30minutes

2Questions

AGRAPHINGCALCULATORISREQUIREDFORTHESEQUESTIONS.

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AP®Precalculus2024Free-ResponseQuestions

f(−3,1)(0,1)

1.Thefigureshowsthegraphofthefunctiononitsdomainof−3.5£x£3.5.Thepoints,,

and(3,1)areonthegraphoff.Thefunctiongisgivenbyg(x)=2.916·(0.7)x.

(A)(i)Thefunctionhisdefinedbyh(x)=(gf)(x)=g(f(x)).Findthevalueofh(3)asadecimal

approximation,orindicatethatitisnotdefined.

(ii)Findallvaluesofxforwhichf(x)=1,orindicatethattherearenosuchvalues.

(B)(i)Findallvaluesofx,asdecimalapproximations,forwhichg(x)=2,orindicatethattherearenosuch

values.

(ii)Determinetheendbehaviorofgasxincreaseswithoutbound.Expressyouranswerusingthe

mathematicalnotationofalimit.

(C)(i)Determineiffhasaninversefunction.

(ii)Giveareaso