5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 16:32

AP Calculus AB Practice Exam 1 349

Section I Part A

Number of Questions Time Use of Calculator

30 60 Minutes No

Directions:

Tear out the answer sheet provided on the previous page and mark your answers on it. All questions are given
equal weight. Points arenotdeducted for incorrect answers, and no points are given to unanswered questions.
Unless otherwise indicated, the domain of a functionf is the set of all real numbers. The use of a calculator is
notpermitted in this part of the exam.

1. xlim→π
   3 cosx+ 3
   x−π
   is

(A) − 3 (B) −

1

3

(C) 0 (D) 3

y

f

x

− 6 − 40246 − 2

2. The figure above shows the graph of a
   piecewise function. The graph has a horizontal
   tangent atx=−4. What are all the values ofx,
   such that− 6 <x<6, at which fis
   continuous but not differentiable?
   (A) x=− 2
   (B) x=−4 andx= 0
   (C)x=−2 andx= 0
   (D)x= 0, andx= 2

3.

∫

x

(x^2 + 1 )^2

dx

(A) −

1

2 (x^2 + 1 )

+c (B) −

1

x+ 1

+c

(C)

1

2 (x^2 + 1 )

+c (D)

x^2 + 1

2

+c

y

f

x

2

1

3

− 2 024

4. The diagram above shows the graph of a
   functionf for− 2 ≤x≤4. Which of the
   following statements is/are true?
   I. limt→ 2 f(x)exists.
   II. limx→ 0 −f(x)exists.
   III. limx→ 0 f(x)exists.

(A) I only

(B) II only

(C) I and II only

(D) I, II, and III

5. Ify=10 log 2 (x^4 +1),
   dy
   dx

=

(A)

10

x^4 + 1

(B)

10

ln(2)·(x^4 +1)

(C)

40 x^3

ln(2)·(x^4 +1)

(D)

40 ln(2)·x^3

x^4 + 1

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