Math AP

AP CALCULUS BC Test Booklet


6.7


1. If is an antiderivative for and , then
(A)
(B)

(C)


(D)


(E)


2. If the function f is defined by and g is an antiderivative of f such that g(3) = 5, then g(1) =
(A) -3.268
(B) -1.585
(C) 1.732
(D) 6.585
(E) 11.585

3.
Let g be the function given by . Which of the following statements

about g must be true?

I. g is increasing on (1, 2).

II. g is increasing on (2, 3).

III. g(3) > 0
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II, and III

4.
Let f be the function defined by . On which of the following intervals is the

graph of concave down?
(A) only
(B)
(C)
(D) only
(E) only

AP Calculus BC Page 1 of 16

, Test Booklet


6.7


5. For the position of a particle moving along the x-axis is given by . What is the
acceleration of the particle at the point where the velocity is first equal to 0 ?
(A)
(B) -1
(C) 0
(D) 1
(E)

6. Let f be a differentiable function such that and for all x. Of the following, which is not a
possible value for f(2)?
(A) -10
(B) -5
(C) 0
(D) 1
(E) 2

7.




The graph of , the derivative of f, is the line shown in the figure above. If f(0) = 5, then f(1) =
(A) 0
(B) 3
(C) 6
(D) 8
(E) 11

8.




Page 2 of 16 AP Calculus BC

, Test Booklet


6.7

(A) 0
(B) 1
(C)
(D)
(E) 2

9.
What are all values of k for which ?


(A) -3
(B) 0
(C) 3
(D) -3 and 3
(E) -3, 0, 3

10.



(A)
(B) ln2-2
(C) ln2
(D) 2
(E) ln2+2

11.


(A)
(B)
(C)
(D)
(E)




AP Calculus BC Page 3 of 16