Algebra and Trigonometry: A Graphing Approach
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Algebra and Trigonometry: A Graphing Approach
, Third Edition
Ron Larson - The Pennsylvania State University, The Behrend College
Robert P. Hostetler - The Pennsylvania State University, The Behrend College
ACE Practice Tests
Chapter P Prerequisites
P.1 Real Numbers
P.2 Exponents and Radicals
P.3 Polynomials and Factoring
P.4 Rational Expressions
P.5 Graphical Representation of Data
Chapter 1 Functions and Their Graphs
1.1 Graphs of Equations
1.2 Lines in the Plane
1.3 Functions
1.4 Graphs of Functions
1.5 Shifting, Reflecting, and Stretching Graphs
1.6 Combinations of Functions
1.7 Inverse Functions
Chapter 2 Intercepts, Zeros, and Solutions
2.1 Modeling with Linear Equations
2.2 Solving Equations Graphically
2.3 Complex Numbers
2.4 Solving Equations Algebraically
2.5 Solving Inequalities Algebraically and Graphically
Chapter 3 Polynomial and Rational Functions
3.1 Quadratic Functions
3.2 Polynomial Functions of Higher Degree
3.3 Real Zeros of Polynomial Functions
3.4 The Fundamental Theorem of Algebra
3.5 Rational Functions and Asymptotes
3.6 Graphs of Rational Functions
Chapter 4 Exponential and Logarithmic Functions
4.1 Exponential Functions and Their Graphs
4.2 Logarithmic Functions and Their Graphs
4.3 Properties of Logarithms
4.4 Solving Exponential and Logarithmic Equations
4.5 Exponential and Logarithmic Models
Chapter 5 Trigonometric Functions
5.1 Angles and Their Measure
5.2 Right Triangle Trigonometry
5.3 Trigonometric Functions of Any Angle
5.4 Graphs of Sine and Cosine Functions
5.5 Graphs of Other Trigonometric Functions
5.6 Inverse Trigonometric Functions
5.7 Applications and Models
Chapter 6 Analytic Trigonometry
6.1 Using Fundamental Identities
6.2 Verifying Trigonometric Identities
6.3 Solving Trigonometric Equations
6.4 Sum and Difference Formulas
6.5 Multiple-Angle and Product-Sum Formulas
Chapter 7 Additional Topics in Trigonometry
7.1 Law of Sines
7.2 Law of Cosines
7.3 Vectors in the Plane
7.4 Vectors and Dot Products
7.5 Trigonometric Form of a Complex Number
Chapter 8 Systems of Equations and Inequalities
8.1 Solving Systems of Equations
8.2 Systems of Linear Equations in Two Variables
8.3 Multivariable Linear Systems
8.4 Systems of Inequalities
8.5 Linear Programming
Chapter 9 Matrices and Determinants
9.1 Matrices and Systems of Equations
9.2 Operations with Matrices
9.3 The Inverse of a Square Matrix
9.4 The Determinant of a Square Matrix
9.5 Applications of Matrices and Determinants
Chapter 10 Sequences, Series, and Probability
10.1 Sequences and Series
10.2 Arithmetic Sequences and Partial Sums
10.3 Geometric Sequences and Series
10.4 Mathematical Induction
10.5 The Binomial Theorem
10.6 Counting Principles
10.7 Probability
Chapter 11 Topics in Analytic Geometry
11.1 Conics
11.2 Translations of Conics
11.3 Parametric Equations
11.4 Polar Coordinates
11.5 Graphs of Polar Equations
11.6 Polar Equations of Conics
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