TEST BANK FOR CALCULUS AND ITS APPLICATIONS

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Bittinger
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the relative extrema of the function, if they exist.
1) f(x) = x2 - 8x + 18
A) Relative minimum at (4, 2)
B) Relative maximum at (2, 4)
C) Relative maximum at (4, 2)
D) Relative minimum at (2, 4)
Answer: A

2) f(x) = 2x2 + 20x + 53
A) Relative minimum at (-5, 3)
B) Relative maximum at (5, -3)
C) Relative minimum at (-3, 5)
D) Relative minimum at (3, -5)
Answer: A

3) s(x) = -x2 - 12x - 27
A) Relative maximum at (-12, -27)
B) Relative maximum at (-6, 9)
C) Relative maximum at (6, 9)
D) Relative minimum at (12, -27)
Answer: B

4) f(x) = -7x2 - 2x - 2
1 13
A) Relative minimum at ,
7 7
1 13
B) Relative maximum at - ,-
7 7
13
C) Relative maximum at -7, -
7
1 13
D) Relative maximum at ,
7 7
Answer: B

5) f(x) = 0.4x2 - 2.9x + 5.8
A) Relative minimum at (3.625, 0.54375)
B) Relative maximum at (3.625, 0.54375)
C) Relative minimum at (-3.625, 21.56875)
D) Relative minimum at (3.625, 0)
Answer: A

6) f(x) = x3 - 3x2 + 1
A) Relative maximum at (-2, -19); relative maximum at (0, 1)
B) Relative maximum at (0, 1); relative minimum at (2, -3)
C) Relative maximum at (2, -3)
D) Relative minimum at (0, 1); relative maximum at (2, -3)
Answer: B




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,DOWNLOAD THE Test Bank for Calculus and Its Applications 11th Edition
Bittinger
7) y = x3 - 3x2 + 7x - 10
A) Relative maximum at (2, 6)
B) Relative minimum at (1, 6)
C) Relative maximum at (-1, 6)
D) No relative extrema exist
Answer: D

8) f(x) = x3 - 12x + 4
A) Relative maximum at (5, 69); relative minimum at (-3, 13)
B) Relative maximum at (5, 69); relative minimum at (2, -12)
C) Relative minimum at (-2, 20); relative maximum at (2, -12)
D) Relative maximum at (-2, 20); relative minimum at (2, -12)
Answer: D

9) f(x) = -4x3 + 4
A) Relative maximum at (0, -4)
B) Relative maximum at (0, 4)
C) Relative minimum at (0, 4)
D) No relative extrema exist
Answer: D

2 3 1 2
10) f(x) = x + x - 21x + 2
3 2
7 1273 7 883
A) Relative maximum at - , ; relative minimum at ,-
2 24 2 24
77
B) Relative maximum at 3, -
2
7 1273 77
C) Relative maximum at - , ; relative minimum at 3, -
2 24 2
103 7 883
D) Relative maximum at -3, ; relative minimum at , -
2 2 24
Answer: C

11) f(x) = 3x4 + 16x3 + 24x2 + 32
A) Relative minimum at (-2, 48), relative maximum at (0, 32)
B) Relative minimum at (0, 32)
C) Relative maximum at (-2, 48), relative minimum at (0, 32)
D) Relative minimum at (-2, 48)
Answer: B

12) f(x) = x4 - 8x2 + 6
A) Relative maximum at (2, -10); relative minimum at (-2, -10)
B) Relative minimum at (0, 6); relative maxima at (2, -10), (-2, -22)
C) Relative maximum at (0, 6); relative minimum at (2, -10)
D) Relative maximum at (0, 6); relative minima at (2, -10), (-2, -10)
Answer: D




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, DOWNLOAD THE Test Bank for Calculus and Its Applications 11th Edition
Bittinger
13) f(x) = x3 - 5x4
3 27 3 27
A) Relative maximum at (0,0); relative minima at - ,- and ,
20 6400 20 32000
3 27
B) Relative maximum at ,
20 32000
3 27
C) Relative maximum at , ; relative minimum at (0, 0)
20 32000
3 27
D) Relative minimum at - ,- ; relative maximum at (0, 0)
20 6400
Answer: B

x2 + 1
14) f(x) =
x2
A) No relative extrema exist
B) Relative maximum at (-1, 2); relative minimum at (1, 2)
C) Relative maximum at (0, 1)
D) Relative minimum at (0, 1)
Answer: A

4
15) f(x) =
2
x -1
A) No relative extrema exist
B) Relative minimum at (0, -4)
C) Relative maximum at (0, 4)
D) Relative maximum at (0, -4)
Answer: D

-6
16) f(x) =
2
x +1
A) Relative maximum at (0, -6)
B) Relative minimum at (0, -6)
C) Relative maximum at (0, 6)
D) No relative extrema exist
Answer: B

6x
17) f(x) =
2
x +1
A) Relative minimum at -1, - 3 ; relative maximum at 1, 3
B) Relative maximum at (0, 0)
C) Relative minimum at -1, - 3 ; relative maximum at (0, 0)
D) Relative maximum at -1, - 3 ; relative minimum at 1, 3
Answer: A




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