Calculus & Its Applications 14th Edition – Official Test Bank | Goldstein, Lay, Schneider, Asmar (ISBN: 9780137400096)

TEST BANK

CALCULUS & ITS APPLICATIONS
14TH EDITION
Chapter 0: Functions.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Draw the interval on a number line.


1) (-4, 9]



A) B)


ANSWER
C) D) D



2) [-2, 2)



A) B)



C) D)
ANSWER
B


3) [-1, ∞)



A) B)


ANSWER
C) D)
B




1

, 4) [2, 2π)



A) B)
ANSWER
A
C) D)




5) (- 8, 7)



A) B) ANSWER
D
C) D)




6) Use intervals to describe the real numbers satisfying the inequality, x < 9, x ≥ -2.
A) [-9, 2)
B) [-2, 9)
ANSWER
C) (-2, 9) B
D) (-2, 9]
E) none of these


7) Use intervals to describe the real numbers satisfying the inequality, x ≥ 7.
A) (-∞, 7]
B) ( 7, ∞) ANSWER
C) (-∞, 7) D
D) [ 7, ∞)
E) none of these

Use intervals to describe the real numbers satisfying the inequality.
8) x ≤ -7
A) (-∞, -7) B) (-∞, -7] C) [-∞, -7] D) [-7, ∞) ANSWER: B

9) -1 < x < 4
A) [-1, 4) B) (-1, 4) C) [-1, 4] D) (-1, 4] ANSWER: B

10) 1 ≤ x ≤ 8
A) [1, 8] B) [1, 8) C) (1, 8) D) (1, 8] ANSWER: A




2

, Evaluate the function.
11) f(x) = x 2 - 4x - 7; Find f(0).
A) 0 B) 7 C) -7 D) 49 ANSWER: C

12) f(x) = 2x2 - 2x - 7; Find f(-2).
A) -3 B) 1 C) 5 D) 19 ANSWER: C

3x ; Find f(-3).
13) f(x) =
4x + 1
9 3 3
A)
11
B)
5
C)
4
D) - 9 ANSWER: A

14) f(x) = 2x2 - 2x + 2; Find f(t - 1).
A) 2t2 - 6t + 6 B) -6t2 + 2t + 6 C) 2t2 + 2t + 2 D) 2t2 - 6t + 2 ANSWER: A

Evaluate the function for the given value.
x-7 1
if x ≠ -
2x + 1 2
1
15) f(x) = 1 ; f-
7 if x = - 2
2
7 15
A) 7 B) -
2
C) -
2
D) 0 ANSWER: A

x-5
if x ≠ - 2
16) f(x) = 2x + 4 ; f(5)
14 if x = - 2

A) 14 B) 0 C) 70 D)
1 ANSWER: B
14


17) If f(x) = 1 + x, find f(9).
A) 3
B) 3 ANSWER: D
C) 10
D) 2
E) none of these


2x , find f(-2).
18) If f(x) =
2
x +1

A)
4
B) - 4 C) -2 D)
4
E) 0 ANSWER: B
5 5 3




3