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, TABLE OF CONTENTS
Instructor's Solutions Manual for Algebra & Trigonometry:
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Precalculus: A Right Triangle Approach, 5th Edition
Author: Judith A. Beecher, Judith A. Penna, and Marvin L. Bittinger (2021)
UV
Chapter 1. Graphs, Functions, and Models
Chapter 2. More on Functions
I
Chapter 3. Quadratic Functions and Equations; Inequalities
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Chapter 4. Polynomial Functions and Rational Functions
Chapter 5. Exponential Functions and Logarithmic Functions
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Chapter 6. The Trigonometric Functions
Chapter 7. Trigonometric Identities, Inverse Functions, and Equations
Chapter 8. Applications of Trigonometry
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Chapter 9. Systems of Equations and Matrices
Chapter 10. Conic Sections
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Chapter 11. Sequences, Series, and Combinatorics
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Contents
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Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . 57
I
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 107
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Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . 163
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . 249
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Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 305
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 357
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Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 399
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 451
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Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 551
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 635
Just-in-Time Review . . . . . . . . . . . . . . . . . . . . . 677
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Chapter R . . . . . . . . . . . . . . . . . . . . . . . . . . 687
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, Chapter 1
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Graphs, Functions, and Models
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Exercise Set 1.1
4 (1, 4)
1. Point A is located 5 units to the left of the y-axis and 2
(5, 0) (4, 0)
4 units up from the x-axis, so its coordinates are (−5, 4). 4 2 2 4 x
Point B is located 2 units to the right of the y-axis and 2
(4, 2)
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2 units down from the x-axis, so its coordinates are (2, −2). 4 (2, 4)
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Point C is located 0 units to the right or left of the y-axis
and 5 units down from the x-axis, so its coordinates are
(0, −5). 5. To graph (−5, 1) we move from the origin 5 units to the
left of the y-axis. Then we move 1 unit up from the x-axis.
Point D is located 3 units to the right of the y-axis and
5 units up from the x-axis, so its coordinates are (3, 5). To graph (5, 1) we move from the origin 5 units to the right
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of the y-axis. Then we move 1 unit up from the x-axis.
Point E is located 5 units to the left of the y-axis and
4 units down from the x-axis, so its coordinates are To graph (2, 3) we move from the origin 2 units to the right
(−5, −4). of the y-axis. Then we move 3 units up from the x-axis.
To graph (2, −1) we move from the origin 2 units to the
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Point F is located 3 units to the right of the y-axis and
0 units up or down from the x-axis, so its coordinates are right of the y-axis. Then we move 1 unit down from the
(3, 0). x-axis.
To graph (0, 1) we do not move to the right or the left of
2. G: (2, 1); H: (0, 0); I: (4, −3); J: (−4, 0); K: (−2, 3); the y-axis since the first coordinate is 0. From the origin
L: (0, 5)
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we move 1 unit up.
3. To graph (4, 0) we move from the origin 4 units to the right
y
of the y-axis. Since the second coordinate is 0, we do not
move up or down from the x-axis.
4
To graph (−3, −5) we move from the origin 3 units to the (2, 3)
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2
left of the y-axis. Then we move 5 units down from the (5, 1) (0, 1) (5, 1)
x-axis. 4 2 4 x
To graph (−1, 4) we move from the origin 1 unit to the left 2 (2, 1)
of the y-axis. Then we move 4 units up from the x-axis. 4
To graph (0, 2) we do not move to the right or the left of
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the y-axis since the first coordinate is 0. From the origin y
6.
we move 2 units up.
To graph (2, −2) we move from the origin 2 units to the 4
right of the y-axis. Then we move 2 units down from the (5, 2)
2
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x-axis. (5, 0) (4, 0)
4 2 2 4 x
y 2
4 (4, 3)
(1, 4) 4 (1, 5)
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2 (0, 2)
(4, 0) 7. The first coordinate represents the year and the second co-
4 2 2 4 x ordinate represents the number of Sprint Cup Series races
2 (2, 2)
in which Tony Stewart finished in the top five. The or-
(3, 5) 4 dered pairs are (2008, 10), (2009, 15), (2010, 9), (2011, 9),
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(2012, 12), and (2013, 5).
8. The first coordinate represents the year and the second
coordinate represents the percent of Marines who are
women. The ordered pairs are (1960, 1%), (1970, 0.9%),
(1980, 3.6%), (1990, 4.9%), (2000, 6.1%), and (2011, 6.8%).
Copyright
c 2016 Pearson Education, Inc.
EU
SS
OI
NN
CO
ED
M
IA_
UV
ST
, TABLE OF CONTENTS
Instructor's Solutions Manual for Algebra & Trigonometry:
ST
Precalculus: A Right Triangle Approach, 5th Edition
Author: Judith A. Beecher, Judith A. Penna, and Marvin L. Bittinger (2021)
UV
Chapter 1. Graphs, Functions, and Models
Chapter 2. More on Functions
I
Chapter 3. Quadratic Functions and Equations; Inequalities
A_
Chapter 4. Polynomial Functions and Rational Functions
Chapter 5. Exponential Functions and Logarithmic Functions
M
Chapter 6. The Trigonometric Functions
Chapter 7. Trigonometric Identities, Inverse Functions, and Equations
Chapter 8. Applications of Trigonometry
ED
Chapter 9. Systems of Equations and Matrices
Chapter 10. Conic Sections
CO
Chapter 11. Sequences, Series, and Combinatorics
NN
OI
SS
EU
R?
,ST
Contents
UV
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . 57
I
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 107
A_
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . 163
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . 249
M
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 305
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 357
ED
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 399
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 451
CO
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 551
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 635
Just-in-Time Review . . . . . . . . . . . . . . . . . . . . . 677
NN
Chapter R . . . . . . . . . . . . . . . . . . . . . . . . . . 687
OI
SS
EU
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, Chapter 1
ST
Graphs, Functions, and Models
4. y
UV
Exercise Set 1.1
4 (1, 4)
1. Point A is located 5 units to the left of the y-axis and 2
(5, 0) (4, 0)
4 units up from the x-axis, so its coordinates are (−5, 4). 4 2 2 4 x
Point B is located 2 units to the right of the y-axis and 2
(4, 2)
I
2 units down from the x-axis, so its coordinates are (2, −2). 4 (2, 4)
A_
Point C is located 0 units to the right or left of the y-axis
and 5 units down from the x-axis, so its coordinates are
(0, −5). 5. To graph (−5, 1) we move from the origin 5 units to the
left of the y-axis. Then we move 1 unit up from the x-axis.
Point D is located 3 units to the right of the y-axis and
5 units up from the x-axis, so its coordinates are (3, 5). To graph (5, 1) we move from the origin 5 units to the right
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of the y-axis. Then we move 1 unit up from the x-axis.
Point E is located 5 units to the left of the y-axis and
4 units down from the x-axis, so its coordinates are To graph (2, 3) we move from the origin 2 units to the right
(−5, −4). of the y-axis. Then we move 3 units up from the x-axis.
To graph (2, −1) we move from the origin 2 units to the
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Point F is located 3 units to the right of the y-axis and
0 units up or down from the x-axis, so its coordinates are right of the y-axis. Then we move 1 unit down from the
(3, 0). x-axis.
To graph (0, 1) we do not move to the right or the left of
2. G: (2, 1); H: (0, 0); I: (4, −3); J: (−4, 0); K: (−2, 3); the y-axis since the first coordinate is 0. From the origin
L: (0, 5)
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we move 1 unit up.
3. To graph (4, 0) we move from the origin 4 units to the right
y
of the y-axis. Since the second coordinate is 0, we do not
move up or down from the x-axis.
4
To graph (−3, −5) we move from the origin 3 units to the (2, 3)
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2
left of the y-axis. Then we move 5 units down from the (5, 1) (0, 1) (5, 1)
x-axis. 4 2 4 x
To graph (−1, 4) we move from the origin 1 unit to the left 2 (2, 1)
of the y-axis. Then we move 4 units up from the x-axis. 4
To graph (0, 2) we do not move to the right or the left of
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the y-axis since the first coordinate is 0. From the origin y
6.
we move 2 units up.
To graph (2, −2) we move from the origin 2 units to the 4
right of the y-axis. Then we move 2 units down from the (5, 2)
2
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x-axis. (5, 0) (4, 0)
4 2 2 4 x
y 2
4 (4, 3)
(1, 4) 4 (1, 5)
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2 (0, 2)
(4, 0) 7. The first coordinate represents the year and the second co-
4 2 2 4 x ordinate represents the number of Sprint Cup Series races
2 (2, 2)
in which Tony Stewart finished in the top five. The or-
(3, 5) 4 dered pairs are (2008, 10), (2009, 15), (2010, 9), (2011, 9),
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(2012, 12), and (2013, 5).
8. The first coordinate represents the year and the second
coordinate represents the percent of Marines who are
women. The ordered pairs are (1960, 1%), (1970, 0.9%),
(1980, 3.6%), (1990, 4.9%), (2000, 6.1%), and (2011, 6.8%).
Copyright
c 2016 Pearson Education, Inc.
