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## Book Description

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1. Algebra & Trigonometry
2. Contents
3. Preface
4. Get the most out of MyMathLab&#174;
5. Resources for Success
6. To the Student
7. Chapter 1 Graphs, Functions, and Models
1. 1.1 Introduction to Graphing
1. Graphs
2. Solutions of Equations
3. Graphs of Equations
4. The Distance Formula
5. Midpoints of Segments
6. Circles
2. 1.2 Functions and Graphs
1. Functions
2. Notation for Functions
3. Graphs of Functions
4. Finding Domains of Functions
5. Visualizing Domain and Range
6. Applications of Functions
3. 1.3 Linear Functions, Slope, and Applications
4. Visualizing the Graph
5. 1.3 Exercise Set
6. Mid-Chapter Mixed Review
7. 1.4 Equations of Lines and Modeling
8. 1.4 Exercise Set
9. 1.5 Linear Equations, Functions, Zeros, and Applications
1. Linear Equations
1. Example 1
2. Example 2
2. Special Cases
3. Applications Using Linear Models
4. Zeros of Linear Functions
10. 1.5 Exercise Set
11. 1.6 Solving Linear Inequalities
1. Linear Inequalities
2. Compound Inequalities
3. An Application
12. 1.6 Exercise Set
13. Chapter 1 Summary and Review
8. Chapter 2 More on Functions
1. 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
1. Increasing, Decreasing, and Constant Functions
2. Relative Maximum and Minimum Values
3. Applications of Functions
4. Functions Defined Piecewise
2. 2.2 The Algebra of Functions
1. The Algebra of Functions: Sums, Differences, Products, and Quotients
2. Difference Quotients
3. 2.3 The Composition of Functions
1. The Composition of Functions
2. Decomposing a Function as a Composition
4. 2.4 Symmetry
5. 2.4 Exercise Set
6. 2.5 Transformations
7. 2.6 Variation and Applications
1. Direct Variation
2. Inverse Variation
3. Combined Variation
4. 2.6 Exercise Set
8. Chapter 2 Summary and Review
9. Chapter 3 Quadratic Functions and Equations; Inequalities
1. 3.1 The Complex Numbers
2. 3.2 Quadratic Equations, Functions, Zeros, and Models
3. 3.3 Analyzing Graphs of Quadratic Functions
4. Mid-Chapter Mixed Review
5. 3.4 Solving Rational Equations and Radical Equations
1. Rational Equations
3. 3.4 Exercise Set
6. 3.5 Solving Equations and Inequalities with Absolute Value
7. Chapter 3 Summary and Review
8. 3 Chapter Test
10. Chapter 4 Polynomial Functions and Rational Functions
1. 4.1 Polynomial Functions and Models
2. Finding Zeros of Polynomial Functions
3. Polynomial Models
2. 4.2 Graphing Polynomial Functions
3. 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
1. Division and Factors
2. The Remainder Theorem and Synthetic Division
3. Finding Factors of Polynomials
4. Mid-Chapter Mixed Review
5. 4.4 Theorems about Zeros of Polynomial Functions
6. 4.5 Rational Functions
1. The Domain of a Rational Function
2. Asymptotes
3. Horizontal Asymptotes
1. Example 4
2. Example 5
3. Example 6
4. Oblique Asymptotes
4. Applications
7. 4.6 Polynomial Inequalities and Rational Inequalities
1. Polynomial Inequalities
2. Rational Inequalities
8. Chapter 4 Summary and Review
9. Review Exercises
10. Chapter Test
11. Chapter 5 Exponential Functions and Logarithmic Functions
1. 5.1 Inverse Functions
2. Inverses and One-to-One Functions
3. Finding Formulas for Inverses
4. Inverse Functions and Composition
5. Restricting a Domain
6. 5.2 Exponential Functions and Graphs
7. Graphing Exponential Functions
8. Applications
9. The Number e
10. Graphs of Exponential Functions, Base e
11. 5.3 Logarithmic Functions and Graphs
1. Logarithmic Functions
1. Example 1
2. Finding Certain Logarithms
3. Converting Between Exponential Equations and Logarithmic Equations
4. Finding Logarithms on a Calculator
5. Natural Logarithms
6. Changing Logarithmic Bases
7. Graphs of Logarithmic Functions
8. Applications
1. Example 12
2. Example 13
3. Visualizing the Graph
4. 5.3 Exercise Set
5. Chapter 6 The Trigonometric Functions
1. 6.1 Trigonometric Functions of Acute Angles
2. 6.2 Applications of Right Triangles
1. Solving Right Triangles
3. Applications
4. Bearing: First-Type
5. 6.3 Trigonometric Functions of Any Angle
6. Mid-Chapter Mixed Review
7. 6.4 Radians, Arc Length, and Angular Speed
1. Distances on the Unit Circle
3. Arc Length and Central Angles
4. Linear Speed and Angular Speed
8. 6.5 Circular Functions: Graphs and Properties
9. Graphs of the Sine and Cosine Functions
10. Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
11. 6.6 Graphs of Transformed Sine and Cosine Functions
1. Variations of Basic Graphs
1. The Constant D
2. The Constant A
3. Solution
4. The Constant B
5. The Constant C
2. Graphs of Sums: Addition of Ordinates
3. Damped Oscillation: Multiplication of Ordinates
12. Chapter 6 Summary and Review
1. Study Guide
1. Review Exercises
1. Synthesis
2. Collaborative Discussion and Writing
3. 6 Chapter Test
1. Synthesis
2. Chapter 7 Trigonometric Identities, Inverse Functions, and Equations
1. 7.1 Identities: Pythagorean and Sum and Difference
1. Pythagorean Identities
2. Simplifying Trigonometric Expressions
1. Example 1
2. Example 2
3. Example 3
4. Example 4
5. Example 5
6. Example 6
7. Example 7
3. Sum and Difference Identities
2. 7.2 Identities: Cofunction, Double-Angle, and Half-Angle
1. Cofunction Identities
1. Example 1
2. Example 2
2. Double-Angle Identities
1. Example 3
2. Example 4
3. Half-Angle Identities
3. 7.3 Proving Trigonometric Identities
1. The Logic of Proving Identities
2. Proving Identities
1. Example 1
2. Example 2
3. Example 3
4. Example 4
5. Example 5
3. Product-to-Sum and Sum-to-Product Identities
4. Mid-Chapter Mixed Review
5. 7.4 Inverses of the Trigonometric Functions
1.  Restricting Ranges to Define Inverse Functions
1. Example 1
2. Example 2
2.  Composition of Trigonometric Functions and Their Inverses
1. Example 3
2. Example 4
3. Example 5
4. Example 6
5. Example 7
6. 7.4 Exercise Set
6. 7.5 Solving Trigonometric Equations
7. Chapter 7 Summary and Review
8. Review Exercises
9. 7 Chapter Test
3. Chapter 8 Applications of Trigonometry
1. 8.1 The Law of Sines
2. 8.2 The Law of Cosines
1. The Law of Cosines
2. Solving Triangles (SAS)
3. Solving Triangles (SSS)
3. 8.3 Complex Numbers: Trigonometric Notation
1. Graphical Representation
2. Trigonometric Notation for Complex Numbers
1. Example 3
2. Example 4
3. Multiplication and Division with Trigonometric Notation
4. Powers of Complex Numbers
5. Roots of Complex Numbers
6. 8.3 Exercise Set
7. Mid-Chapter Mixed Review
4. 8.4 Polar Coordinates and Graphs
1. Polar Coordinates
2. Polar Equations and Rectangular Equations
3. Graphing Polar Equations
5. 8.5 Vectors and Applications
6. 8.6 Vector Operations
7. Chapter 8 Summary and Review Study Guide
8. Review Exercises
9. Chapter Test
4. Chapter 9 Systems of Equations and Matrices
1. 9.1 Systems of Equations in Two Variables
2. 9.2 Systems of Equations in Three Variables
3. 9.3 Matrices and Systems of Equations
4. 9.4 Matrix Operations
5. 9.5 Inverses of Matrices
6. 9.6 Determinants and Cramer&#8217;s RuleDeterminants and Cramer’s Rule
7. 9.7 Systems of Inequalities and Linear Programming
1. Graphs of Linear Inequalities
2. Systems of Linear Inequalities
3. Applications: Linear Programming
4. 9.7 Exercise Set
8. 9.8 Partial Fractions
1. Partial Fraction Decompositions
1. Example 1
2. Example 2
3. Example 3
4. Example 4
5. Example 5
2. 9.8 Exercise Set
9. Chapter 6 Summary and Review
5. Chapter 10 Analytic Geometry Topics
1. 10.1 The Parabola
2. 10.2 The Circle and the Ellipse
1. Circles
2. Ellipses
3. Applications
4. 10.2 Exercise Set
3. 10.3 The Hyperbola
4. 10.4 Nonlinear Systems of Equations and Inequalities
5. Chapter 10 Summary and Review Study Guide
6. Review Exercises
6. Chapter 11 Sequences, Series, and Combinatorics
1. 11.1 Sequences and Series
2. 11.2 Arithmetic Sequences and Series
1. Arithmetic Sequences
2. Sum of the First n Terms of an Arithmetic Sequence
3. Applications
3. 11.3 Geometric Sequences and Series
1. Geometric Sequences
2. Sum of the First n Terms of a Geometric Sequence
3. Infinite Geometric Series
4. Applications
4. 11.4 Mathematical Induction
5. 11.5 Combinatorics: Permutations
1. Permutations
2. Factorial Notation
3. Permutations of n Objects Taken k at a Time
4. Permutations of Sets with Nondistinguishable Objects
6. 11.6 Combinatorics: Combinations
1. Combinations
7. 11.7 The Binomial Theorem
8. 11.8 Probability
1. Experimental Probability and Theoretical Probability
2. Computing Experimental Probabilities
3. Theoretical Probability
9. Chapter 11 Summary and Review
7. Just-In-Time Review
9. Photo Credits
10. Index of Applications
11. Index
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