College Algebra, 5th Edition (Judith A. Beecher, Judith A. Penna & Marvin L. Bittinger) – Complete Instructor’s Solutions Manual Chapters 1–8

INSTRUCTOR’S
SOLUTIONS MANUAL
College Algebra | 5th edition

By Judith A. Beecher, Judith A. Penna, Marvin L.
Bittinger
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,Table of Content
Graphs, Functions, and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Applications
1.6 Solving Linear Inequalities
More on Functions
2.1 Increasing, Decreasing, and Piecewise Functions; Applications
2.2 The Algebra of Functions
2.3 The Composition of Functions
2.4 Symmetry
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2.5 Transformations
2.6 Variation and Applications
Quadratic Functions and Equations; Inequalities
3.1 The Complex Numbers
3.2 Quadratic Equations, Functions, Zeros, and Models
3.3 Analyzing Graphs of Quadratic Functions
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3.4 Solving Rational Equations and Radical Equations
3.5 Solving Equations and Inequalities with Absolute Value
Polynomial Functions and Rational Functions
4.1 Polynomial Functions and Models
4.2 Graphing Polynomial Functions
4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
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4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
4.6 Polynomial Inequalities and Rational Inequalities
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Exponential Functions and Logarithmic Functions
5.1 Inverse Functions
5.2 Exponential Functions and Graphs
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5.3 Logarithmic Functions and Graphs
5.4 Properties of Logarithmic Functions
5.5 Solving Exponential Equations and Logarithmic Equations
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5.6 Applications and Models: Growth and Decay; Compound Interest
Systems of Equations and Matrices
6.1 Systems of Equations in Two Variables
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6.2 Systems of Equations in Three Variables
6.3 Matrices and Systems of Equations
6.4 Matrix Operations
6.5 Inverses of Matrices
6.6 Determinants and Cramer's Rule
6.7 Systems of Inequalities and Linear Programming
6.8 Partial Fractions
Conic Sections
7.1 The Parabola
7.2 The Circle and the Ellipse
7.3 The Hyperbola
7.4 Nonlinear Systems of Equations and Inequalities
Sequences, Series, and Combinatorics

,8.1 Sequences and Series
8.2 Arithmetic Sequences and Series
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 Combinatorics: Permutations
8.6 Combinatorics: Combinations
8.7 The Binomial Theorem
8.8 Probability
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, Chapter 1
Graphs, Functions, and Models
4. y
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)
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
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
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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.
Point F is located 3 units to the right of the y-axis and To graph (2, −1) we move from the origin 2 units to the
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
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To graph (−3, −5) we move from the origin 3 units to the (2, 3)
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)
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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
the y-axis since the first coordinate is 0. From the origin y
6.
we move 2 units up.
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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
x-axis. (
5, 0) (4, 0)

4
2 2 4 x
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y
2


4 (4,
3)
(
1, 4) 4 (
1,
5)
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),
(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%).


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