a102 answers to odd-numbered exercises and...
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A102 Answers to Odd-Numbered Exercises and Tests
21. (a)
(b) Reflection in the axis (no effect), vertical stretch, anda vertical shift seven units downward
(c)
22. (a) (b)
(c) (d)
23. 24. No inverse
25.
Chapter 2Section 2.1 (page 172)
Vocabulary Check (page 172)1. equation 2. solve
3. identities, conditional equations 4.
5. extraneous 6. Mathematical modeling
7. formulas
1. (a) Yes (b) No (c) No (d) No
3. (a) Yes (b) No (c) No (d) No
5. (a) No (b) No (c) No (d) Yes
7. Identity 9. Identity 11. Conditional equation
13. 15. 17. 12 19. 1 21.
23. 25. 27. 29. 10 31. 4
33. 5 35. 37. 39. No solution
41. 43. 45.
47. 49. 51.
53. 55. 57. 61.2 inches
59. (a) (b)
(c) 7.5 meters long 5 meters wide
61. (a)
(b) 97
63. 3 hours 65. miles per hour
67. (a) (b) 91.4 feet
69. $1950 71. $4000
73. $40,000 in DVD players; $10,000 in VCRs
75. 50 pounds of each kind 77. feet
79. (a) (b)
81. 83. feet
85. False. It is quadratic;
87.
89. Equations with the same solution set
91.
93. 95.
1412108642−4 −2
16
14
12
10
8
6
4
2
x
y
5
43
21
−3
−4−5
7 865431−1−2x
y
58
4x � 16 � 0, 2x � 8 � 0
9x � 27 � 0
3x � x2 � 10.⇒x�3 � x� � 10
x � 6
25
20
15
Time
Tem
pera
ture
(C
)°
10:0
0 A
.M.
11:0
0 A
.M.
12:0
0 P.
M.
1:00
P.M
.
2:00
P.M
.
3:00
P.M
.
4:00
P.M
.
5:00
P.M
.
6:00
P.M
.
24 � 12 � 8 inchesh
wl
h � 27
h
3 ft12
4 ft
80 ft
Not drawn to scale
�46.3
Test average �test 1 � test 2 � test 3 � test 4
4
�
l � 1.5w; P � 5w
w
l
R �PVnT
r �S
2�h
h �V
�r 2w �P � 2l
2b �
3V4�a2
r �S � aS � L
P � A�1 �rn�
�nth �
2Ab
53
116
1748�
65�10
�92081�
9623
ax � b � 0
f �1�x� � �83 x�2�3
, x ≥ 0
f �1�x� � 3�x � 8
�2 � x2, ��2, �22 � x, ���, 2
x2
�2 � x, ���, 2�x2 � �2 � x, ���, 2
21
1 2 3 4 5
−7
−2−3−4−5
−8
x
y
y-
f �x� � �x�
333370_02_ans_odd.qxp 1/3/07 2:28 PM Page A102
x 1.5 1.6 1.7 1.8 1.9 2
3.2x � 5.8 �1 �0.68 �0.36 �0.04 0.28 0.60
x �1 0 1 2 3 4
3.2x � 5.8 �9 �5.8 �2.6 0.6 3.8 7
97.
99. 101. 103.
Section 2.2 (page 183)
Vocabulary Check (page 183)1. -intercept, -intercept 2. zero
3. point of intersection
1. 3.
5. 7. No intercepts 9.
11. 13.
15–19. Answers will vary.
21.
23. 25. 6;
27.
29. 31.
33. 35. 2.172, 7.828
37. 39. 41.
43. 45. 47.
49. 51. 11 53. 21
55. (a)
Answers will vary.
(b)
Answers will vary. Sample answer:Use smaller intervals of to increase accuracy.
57. 59. 61. 63.
65. 67.
69.
71. (a) 6.46
(b) The second method decreases the accuracy.
73. (a)
(b)
(c) 164.5 miles
75. (a)
(b)
(c) 22.2 gallons
77. (a)
(b) (c) 16.7 units
79. (a) (b) $6800
(c) $7600 (d) $7500
81. (a)
In 1986, both states had the same population.
(b) In 1986, both states had the same population.
(c) Change in population per year; Arizona’s populationis growing faster.
(d) South Carolina: 4,443,000; Arizona: 6,379,000
Answers will vary.
83. True 85. False. The lines could be identical.
�6.7, 3388.7�;
�6.7, 3388.7�;
0 242000
6000
T � 10,000 �12x
00
20
240
A�x� � 12x
0 ≤ x ≤ 55
00
55
55
A � 0.33�55 � x� � x
0 ≤ x ≤ 280
00
280
10
t�x� �x
63�
280 � x
54
1.730.27 � 6.41.
�0, 0�, ��2, 8�, �2, 8��1.45, 1.90�, ��3.45, �7.90��4, 1�
��1, 3��8, �2��2, 2��1, 1�
x1.8 < x < 1.9;
1 < x < 2;
�1, 2.333
�1, 7±3.162�1.333
�0.717, 2.1070.5, �3, 3�1.379
�310; f �x� � 10x � 3 � 0
15; f �x� � 3x � 45 � 097; f �x� � 9 � 7x � 0
�194; f �x� � 0.20x � 38.8 � 0
f �x� � 7x � 42 � 08913; f �x� � 13x � 89 � 0
1223; f �x� � 2.3x � 1.2 � 0
�10, 0�, �0, 30��3, 0�, �0, �6�
−35
−10
40
40
−6
−8
12
4
�1, 0�, �0, 12���2, 0�, �0, 0�
��2, 0�, �1, 0�, �0, �2��5, 0�, �0, �5�
yx
�357�2580�28
1−1−2−3−5−6−7−8−9
3
2
1
−2
−4
−5
−6
−7
x
y
Answers to Odd-Numbered Exercises and Tests A103
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A104 Answers to Odd-Numbered Exercises and Tests
87. 3 89. 1 91. 93.
95. 97.
Section 2.3 (page 193)
Vocabulary Check (page 193)1. (a) ii (b) iii (c) i 2.
3. complex, 4. real, imaginary
5. Mandelbrot Set
1. 3. 5.
7. 9. 11. 13.
15. 17. 19.
21. 23. 25.
27. 29. 31. 33. 24
35. 37. 25 39. 41
41. 43. 11
45. 47. 49.
51. 53. 55.
57. 59. 61.
63. (a) 8 (b) 8 (c) 8; Answers will vary.
65. 67. 69. 2
71. 73.
75.
77.
Yes, bounded
79.
81. False. Any real number is equal to its conjugate.
83. False. Example: which is not animaginary number.
85. True 87. 89.
Section 2.4 (page 205)
Vocabulary Check (page 205)1. quadratic equation
2. factoring, extracting square roots, completing thesquare, Quadratic Formula
3. discriminant
4. position, initial velocity, initialheight
1. 3.
5. 7. 9. 11.
13. 15. 17. 16, 8
19. 21. 2 23.
25. 27. 29.
31.
33. (a) (b) and (c)
35. (a) (b) and (c)
37. (a) (b) and (c)
39. No real solutions 41. One real solution
43. No real solutions 45. 47.
49. 51. 53.
55. 57. 59. �121 ± 3
2i6, �12
1 ± �2�2 ±12
i�32
±�23
2i
34
±�23
4i1 ± �3
�2.5, 0�
−1
−1
5
3
��0.5, 0�, �1.5, 0�−9
−6
9
6
��1, 0�, ��5, 0�−12
−6
6
6
�54
±�89
4
1 ± �5 i1 ±�63
�3 ± �7
�8, 41 ± �6 i
3; 0.33 ± 0.82i
±7�a � b, �a � b
2, �63, �124, �20, �1
2
3x2 � 60x � 10 � 02x2 � 5x � 3 � 0
�16t2 � v0 t � s0,
3x2 �232 x � 216x2 � 25
�1 � i� � �1 � i� � 2,
3.12 � 0.97i
�0.1643 � 0.4778i, �0.2013 � 0.3430i;
0.5i, �0.25 � 0.5i, �0.1875 � 0.25i, �0.0273 � 0.4063i,
Realaxis4321−1−2−3
4
3
2
1
−2
−3
−4
Imaginaryaxis
Realaxis4321−1−2−3−4
4
3
2
1
−2
−3
−4
Imaginaryaxis
321
−2−3−4−5−6−7
7654321−1−2−3
Realaxis
Imaginaryaxis
5i4 � 3i
i�375�3 i�1 � 6i
62949 �
297949i�1
2 �52 i�
401681 �
91681i
35 �
45 i8
41 �1041i�6i
3 � ��2;��20 i; 20
�6 � �5 i;4 � 3i;80i
�20 � 32i5 � i�10
�2�3�4.2 � 7.5i196 �
376 i
�14 � 20i7 � 3�2 i�3 � 3i
0.3i�75�1 � 5i�6
5 � 4ia � 6, b � 5a � �9, b � 4
a � bi
��1, �1
4x2 � 813x2 � 13x � 30
3�8 � �11�53
4�35
333370_02_ans_odd.qxp 1/3/07 2:28 PM Page A104
t 0 2 4 6 8 10 12
s 1815 1751 1559 1239 791 215 �489
61. 63. 65.
67.
69.
71.
73.
75.
77. (a)
(b)
(c) Width: 34 feet; length: 48 feet
79.
81. (a)
(b)
(c) 10.65 seconds
83. (a) seconds (b) miles
85. (a) 1998 and 2000 (b) Answers will vary.
(c)
(d) 2006 (e) Answers will vary.
87. (a)
(b) (c) 2.5
89. Eastbound plane:
Northbound plane:
91. False. Both solutions are complex.
93. False. Imaginary solutions are always complex conjugatesof each other.
95. (a) and (b) (c) Answers will vary.
97. Proof 99. Answers will vary. 101. e
103.
105. 107. Function
109. Not a function 111. Function
113. Answers will vary.
Section 2.5 (page 216)
Vocabulary Check (page 216)1. 2. extraneous 3. quadratic
1. 3. 5. 7.
9. 11. 13.
15. (a)
(b) and (c)
(d) They are the same.
17. (a)
(b) and (c)
(d) They are the same.
19. 21. 26 23. 25.
27. 6, 7 29. 0 31. 0 33. 35. 9
37. 39. 41.
43. 45. 2, 3 47. 1
49. (a)
(b) and (c) (d) They are the same.
51. (a)
(b) and (c) (d) They are the same.x � 0, 4
−3
−0.5
5
0.5
x � 5, 6
−1
−5
11
3
�117, 133
�59, 691, �1258
112
14
�256.5�161009
��3, 0�, ��1, 0�, �1, 0�, �3, 0�
−5
−20
5
20
��1, 0�, �0, 0�, �3, 0�
−9
−7
9
5
2, �35�
15, �1
3±12, ±4
±1, ±�33, ±1�3, 00, ±2
n
�x � 5��x ��2��x ��2�x2�x � 3��x2 � 3x � 9�
x � �5, �103
�600 miles per hour
�550 miles per hour
16.8�C
1050
25
300
7 1420
80
� 3.73� 22.36
�10, 12�;
s � �16t 2 � 1815
14 centimeters � 14 centimeters
1632 � w2 � 14w
w
w + 14
x2 � 4x � 5 � 0; �x2 � 4x � 5 � 0
x2 � 2x � 11 � 0; 5x2 � 10x � 55 � 0
x2 � 75 � 0; x2
5� 15 � 0
21x2 � 31x � 42 � 0; 3x2 �317 x � 6 � 0
x2 � x � 30 � 0; 2x2 � 2x � 60 � 0
5 ± �174
32
�7 ± �734
Answers to Odd-Numbered Exercises and Tests A105
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Year 1990 1991 1992 1993 1994
Number of lungtransplants 206 455 558 637 703
Year 1995 1996 1997 1998 1999
Number oflung transplants 762 815 864 909 952
Year 2000 2001 2002 2003 2004
Number oflung transplants 992 1031 1068 1103 1137
A106 Answers to Odd-Numbered Exercises and Tests
53. 55. 57.
59. 61. 63.
65.
67. (a) (b) and (c)
(d) They are the same.
69. (a) (b) and (c)
(d) They are the same.
71. 34 students 73. 191.5 miles per hour 75.
77. (a)
(b) 1991; 2000 (c) and (d)
(e) 2017, 2042; Answers will vary.
79. 26,250 81. 249,900
83. (a)
(b) (c) 24.725 pounds per square inch
85. False. For example, has two extraneoussolutions.
87.
89.
91. 93.
95. or 97.
99. 101. 103. 11
Section 2.6 (page 228)
Vocabulary Check (page 228)1. negative 2. double 3.
4. 5. zeros, undefined values
1. f 2. a 3. d 4. b 5. e 6. c
7. (a) Yes (b) No (c) Yes (d) No
9. (a) No (b) Yes (c) Yes (d) No
11. 13.
15. 17.
19.
21. 23.
25. 27.
(a) (a)
(b) (b)
29. 31.
33. 35.
−1 0 1 2
x
14
34−35 −28 −21 −14 −7 0 7
x
14 < x < 3
4x < �28, x > 0
420 6 8 10 12 14
1 13x−3 −2 −1 0 1 2 3
x
1 < x < 13x < �2, x > 2
x ≤ 4x ≤ 32
�2 ≤ x ≤ 4x ≥ 2
−6
−2
6
6
−4
−5
8
3
x < 2x ≤ 2
−9
−6
9
6
−9
−6
9
6
−6 −4 −2
−
0 2 4 6
22
8
9 15
x
�92 < x < 15
2
−2 −1 0 1 2 3 4 5
x
2 3 4 5
x
�2 < x ≤ 5x ≥ 4
−2
2
−1
−
0 1
x
1
−4 −3 −2 −1
x
x < �12x > �4
x ≤ �a, x ≥ a
�a ≤ x ≤ a
�3z2 � 2z � 4z�z � 2�
256x
a � 4, b � 24a � 0, b � 18a � b � 9,
x � 6, x � �4x 4 � 3x2 � 4 � 0
x 4 �32 x3 � 6x2 �
72x � 3 � 0
x3 � 4x2 � 2x � 8 � 0
�x� � x2 � x � 3
211.6�F
5150
40
300
t � 1.4; t � 10.2
�4%
x � 1, �3
−10
−4
8
8
x � �1
−4
−24
4
24
�1 � �172
, 3
�3, �33, �21 ± �31
3
4, �5�3 ± �21
62, �
32
333370_02_ans_odd.qxp 1/3/07 2:28 PM Page A106
37. (a)
(b)
39. 41. 43.
45.
47. Positive on:
Negative on:
49. Positive on:
Negative on:
51. Positive on:
53. 55.
57. 59. No solution
61.
63. (a) (b) (c)
65. (a)
(b)
67. 69.
71. (a)
(b)
73. 75. 77.
79. (a) 1994 (b)
81. (a) 10 seconds (b)
83. (a) (b)
(c)
(d) No; Answers will vary.
85. Answers will vary.
87. 20.70; Answers will vary.
89. vibrations per second 91.
93. (a)
(b)
(c) Option B is the better option for monthly usage of upto 240 minutes. For more than 240 minutes, option Ais the better option.
(d) Sample answer: I would choose option A because Inormally use my cell phone more than 240 minutesper month.
95. False. 97. 99. iv, ii, iii, i
101. 103.
105. 107.
109. Answers will vary.
Section 2.7 (page 237)
Vocabulary Check (page 237)1. positive 2. negative 3. fitting a line to data
4. �1, 1
y�1 � 3�x � 7y�1 �x
12
1
−2
−3
−4
−5
−6
−7
−8
−9
1−1−2−3−4−5−6−7−8−9x
y
642−4−6
8
4
2
−2
−4
x
y
a, b10 ≥ �x
0 4800
100
AB
A � 12 � 0.15x, B � 0.20x
1.2 < t < 2.433313
t ≥ 2.11;
1.28 < t < 10.09
�1991, 2000�
0 130
25
�4, 6��1990, 1994�; �1994, 2004�
���, �2, 2, �����, ��5, ��
2 < x ≤ 4
0 ≤ x < 2
−6
−4
12
8
−2 −1 0 1 2 3 4 5
x
−1−2 0 21
x
���, �1�, �4, �����, �1�, �0, 1�
0 ≤ x ≤ 2
x ≤ �1, x ≥ 3
−5
−2
7
6
x > 1x ≥ 1x � 1
−1 0 1 2 3
x
4 5−2−3−4
32
��3, �1�, �32, ��
−2 −1 0 1 2 3 4
x
�2, 0, 2, ��
x
−6 −5 −4 −3 −2 −1 0 1 2−8 −4−6
−
0 2 4−2
x7 3
���, �5, 1, ����7, 3����, ��
�2 � �102
, 2 � �10
2 ����,
2 � �102 �� �2 � �10
2, ��
��1, 5����, �1� � �5, ��
�x � 3� ≥ 5
�x � 7� ≤ 10�x� > 3�x� ≤ 3
x ≤ �1, x ≥ 7
1 ≤ x ≤ 5
−3
−1
9
7
Answers to Odd-Numbered Exercises and Tests A107
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1. (a) (b) Answers will vary.
3. Negative correlation 5. No correlation
7. (a)
(b) 0.95095
(c)
(d) The models appear valid.
9. (a)
(b) 0.90978
(c)
(d) The models appear valid.
11. (a) (b)
(c)
(d) 3.63 centimeters
13. (a) (b)
(c)
The model fits the data.
(d) 2005: $1,516,500; 2010: $2,197,000; Answers will vary.
(e) 136.1; The slope represents the average annual increasein salaries (in thousands of dollars).
15. (a)
(b) 0.99544
(c)
(d) Yes; answers will vary.
(e) 2005: $38.98; 2010: $46.74
(f) Answers will vary.
−1 150
60
C � 1.552t � 15.70;
−1 150
60
−1 50
1600
S � 136.1t � 836
−1 50
1600
d � 0.066F
d � 0.07F � 0.3
Force
Elo
ngat
ion
d
F20 40 60 80 100
1
2
3
4
5
6
7
−4
−1
8
7
y � 0.95x � 0.92;
y
x
(0, 2)
(1, 1)
(2, 2)
(5, 6)
(3, 4)
−1−2 1 2 3 4 5 6
1
2
3
4
5
6
y = x −32
12
−4
−1
5
5
y � 0.46x � 1.62;
y
x−1−2−4 1 2 3 4
−1
−2
−3
1
2
3
4
5
(−3, 0)(−1, 1)
(0, 2)(2, 3)
(4, 3)
y = x +23
53
Years of experience
Mon
thly
sal
es(i
n th
ousa
nds
of d
olla
rs)
y
x1 2 3 4
10
20
30
40
50
60
A108 Answers to Odd-Numbered Exercises and Tests
333370_02_ans_odd.qxp 1/3/07 2:28 PM Page A108
Year 1997 1998 1999 2000 2001
Actual T-values(in thousands) 1130 1182 1243 1307 1381
T-values frommodel (in thousands)
1183 1220 1256 1293 1330
Year 2002 2003 2004 2005 2006
Actual T-values(in thousands) 1475 1553 1308 1400 1505
T-values frommodel (in thousands)
1366 1403 1440 1477 1513
Answers to Odd-Numbered Exercises and Tests A109
17. (a)
(b)
(c)
The model is not the best fit for the data.
(d) 542,000 people; answers will vary.
19. (a)
(b)
(c) The slope represents an increase of about 37 Targetstores annually.
(d) 2013
(e)
Answers will vary.
21. True. To have positive correlation, the values tend toincrease as increases.
23. Answers will vary. 25. (a) 10 (b)
27. (a) 5 (b) 1 29. 31.
33.
Review Exercises (page 242)1. (a) No (b) No (c) No (d) Yes 3.
5. 7. 9. 11.
13. September: $325,000; October: $364,000
15. (a) (b) meters
17. 19. 21.
23. 25. 27.
29. 31. 33.
35. 37. 39.
41. 43. 45.
47. 49. 51. 53.
55. 57.
59.
61. 63. 65. 67.
69. 71. 73. 75.
77. 79. 81.
83. 85.3 ± �33 i
2�2 ± �6i
�1 ± �612
12
, �56 ± �6
�4 ± 3�2�52, 3�1, 32�1, 4
�1, 50, 223, 5�3, 12
Realaxis4321−1−2−3−4
4
3
2
1
−2
−3
−4
Imaginaryaxis
321
−2−3
−7
−4−5−6
54321−1−2−3−4−5
Realaxis
Imaginaryaxis
4321
−2−3−4−5−6
54321−1−2−3−4−5
Realaxis
Imaginaryaxis
�3 � 2i1726 �
726 i1 � 6i�80
�4 � 46i3 � 9i�26 � 7i
40 � 65i3 � 7i2 � 7i
6 � 5i�4.5, �3.125�, ��3, 2.5��1, �2�x � 0.338, 1.307x � �1.301x � 2.2
�1, 0�, �8, 0�, �0, 8���3, 0�, �0, 3��3.5�C
h �643
8 m2 m
h
75 cm
x �73x � 6x �
12x �
113
x � 9
7 ± �174
�14, 32�
35
2w2 � 5w � 7
xy-
5 180
2000
T � 36.7t � 926; 0.79495
0 350
700
P � 0.6t � 512
0 350
700
CH
AP
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333370_02_ans_odd.qxp 1/3/07 2:29 PM Page A109
Year 2000 2001 2002 2003 2004
Population(in millions) 18.31 18.51 18.59 18.65 18.71
87. (a)
(b) 2001 (c) or 2001
(d) 2004 and 2008 (e) Answers will vary.
89. 91. 93.
95. 97. 5 99.
101. No solution 103.
105. 107. 109.
111. 2, 6 113. 115. 1, 3
117. Four farmers 119. 3%
121. (a)
(b)
(c) 2000 (d)
(e) 2012; Answers will vary. (f) Answers will vary.
123. 125.
127. 129.
131. 133.
135. 137.
139. 141.
143. 145.
147. 149.
151. (a)
(b) Yes. Answers will vary.
153. (a)
(b) Answers will vary. Sample answer:
(c) This model fits the data better.
(d) 24.7 meters per second
155. False. A graph with two distinct intercepts is not afunction.
157. False. A regression line can have a positive or negativeslope.
159. Answers will vary. 161.
163. (a) 1 (b) (c) (d)
Chapter Test (page 246)1. 2. 3.
4. 5. 6.
7. 8. 9.
10. 11.
12. 13. 0 14. 15. 1, 9±1, 0±0.5
±1.414
321
−2−3−4−5−6−7
7654321−1−2−3
Realaxis
Imaginaryaxis
3 − 2i
413 �
713i1 � 2i43
37 �3837 i
�17 � 14i13 � 4i6 � �2�5 � �14 �i�9 � 18ix �
215x � 3
�i�1i
��6��6 � 6i2 � �6
y-
s � 9.70t � 0.4;
S � 10t � 0.4
Time (in seconds)Sp
eed
(in
met
ers
per
seco
nd)
t1 2 3 4
5
10
15
20
25
30
35
40
s
Exam score
Gra
de-p
oint
ave
rage
y
x65 70 75 80 85 90 95
1
2
3
4
�$0.26���, ��
0 5 10 15 20 25
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x
14
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x
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0 1 2 3 4
22
−1
−x
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10 2 3 4
x
6 0−3− 3 6 9
x
�1, 3��3, 9�
0−1−2 1 2x
53
−−1 0 1 2 3 4 5 6 7 8 9 10
x
��53, �����, 9�
t � 0.912
0 418
19
�5, 15
15
�4, 1�2 ±�95
5, �4
�124, 126
254 ±2, ±�7
±2, ±�3 i0, 1250, 23, 8
t � 11.47
5 15950
1500
A110 Answers to Odd-Numbered Exercises and Tests
333370_02_ans_odd.qxp 1/3/07 2:29 PM Page A110
16. 17. 18. 19.
20. 2 21. 22.
23. 24.
25. 26.
27. 0.99622; 2005
Cumulative Test for Chapters P–2 (page 247)
1. 2. 3.
4. 5. 6.
7. 8.
9.
10. Midpoint:
11.
12. 13.
14.
15. (a)
(b) Answers will vary. Sample answer:
16. (a)
(b) Answers will vary.Sample answer:
17. (a)
(b) Answers will vary.
Sample answer:
18. (a) (b)
19. (a) (b) Undefined (c)
20. (a) (b) 4 (c) 20 21.
22. 23.
24. 25. Odd
26. No. It doesn’t pass the Vertical Line Test.
27. Decreasing on
Increasing on
28. (a) Vertical shrink (b) Vertical shift two units up
(c) Horizontal shift two units left, reflection in axis
29. 30. 31.
32. 33.
34. 35. 0, 1, 2
36. 37. 38. 4.444
39. 40.
41. 42.
43. inches
44. (a)
(b)
(c) feet 196.8 feet�� 76.2
0 < x < 273
00
273
25,000
A � x�273 � x�� 4.456
4
x
3210−1−2−3−4
0−1−2
x41
23− −
��1, 2���, �32�, ��1
4, ��
x
−4 −3 −2 −1 431 20
52
16
x
17 18
1207
���, �3, 52, �����, 120
7 �0.667, �2�3
54321
−2−3−4−5
321−1−2−3−4−5−6−7
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Realaxis
h �1�x� �x � 2
54x3 � x2 � 8x � 2
4x2 � 9�x2 � 4x � 1x2 � 4x � 3
x-
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−25
−15
30
40
���, �25� � ��2
5, ���3, 3�5
7, �����, ���32
5 � 4s3 � 4s
53
y �16 x �
103y � 6x � �9
��37, 0�, ��3
7, 1�, ��37, �3�
x � �37
�0, 0�, �1, �2�, �2, �4�
2x � y � 0
��1, 4�, �0, 3�, �1, 2�
x � y � 3
541 2 3−1−2−3−5 −4
5
4
3
1
−3
−2
−4
−5
x
y
65421−1−2−4−5−6
21
−2−3−4−5−6
−10
x
y
54321−1−2−3−4−5
5
3
6
87
2
−2
1x
y
�x �12�2
� �y � 8�2 � 16
d � 6�5 � 13.42��12, �2�;
2�3 � 2x��9 � 6x � 4x2�x�1 � x��1 � 6x��3 � x��7 � x�
x � 1�x � 1��x � 3�x3 � x2 � 5x � 67x � 10
2x2y�7y9�157x3
16y5, x 0
S � 18.30t � 76.2;
−8 −7 −6 −5 −4 −3 −2 −1 0
3−
x
2
−1 0 1
x
−2
12
− 13
−
��7, �23����, �1
2 , �13, ��
3 4 5 6 7 8 9 10 11 12 13
x
−1 0 1 2 3
x
4 5−2−3−4
95
−
�3, 13���95, ��
�52, 11
4±�58
±2, 43�3, 15±92�6 ± �38
Answers to Odd-Numbered Exercises and Tests A111
CH
AP
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