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R. Basic Concepts of Algebra R.1 The Real-Number Systemeal Numbers R.2 Integer Exponents, Scientific Notation, and Order of Operations R.3 Addition, Subtraction, and Multiplication of Polynomials R.4 Factoring Terms with Common Factors R.5 The Basics of Equation Solving R.6 Rational Expressions R.7 Radical Notation and Rational Exponents Study Guide Review Exercises Chapter Test ¿ 1. Graphs; Linear Functions and Models 1.1 Introduction to Graphing Visualizing the Graph 1.2 Functions and Graphs 1.3 Linear Functions, Slope, and Applications Visualizing the Graph Mid-Chapter Mixed Review 1.4 Equations of Lines and Modeling 1.5 Linear Equations, Functions, Zeros, and Applications 1.6 Solving Linear Inequalities Study Guide Review Exercises Chapter Test ¿ 2. More on Functions 2.1 Increasing, Decreasing, and Piecewise Functions; Applications 2.2 The Algebra of Functions 2.3 The Composition of Functions Mid-Chapter Mixed Review 2.4 Symmetry and Transformations Visualizing the Graph 2.5 Variation and Applications Study Guide Review Exercises Chapter Test ¿ 3. 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 Visualizing the Graph Mid-Chapter Mixed Review 3.4 Solving Rational Equations and Radical Equations 3.5 Solving Linear Inequalities Study Guide Review Exercises Chapter Test ¿ 4. Polynomial and Rational Functions 4.1 Polynomial Functions and Modeling 4.2 Graphing Polynomial Functions Visualizing the Graph 4.3 Polynomial Division; The Remainder and Factor Theorems Mid-Chapter Mixed Review 4.4 Theorems about Zeros of Polynomial Functions 4.5 Rational Functions Visualizing the Graph 4.6 Polynomial and Rational Inequalities Study Guide Review Exercises Chapter Test ¿ 5. Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3 Logarithmic Functions and Graphs Mid-Chapter Mixed Review 5.4 Properties of Logarithmic Functions 5.5 Solving Exponential Equations and Logarithmic Equations 5.6 Applications and Models: Growth and Decay; Compound Interest Study Guide Review Exercises Chapter Test ¿ 6. The Trigonometric Functions 6.1 Trigonometric Functions of Acute Angles 6.2 Applications of Right Triangles 6.3 Trigonometric Functions of Any Angle ¿ Mid-Chapter Mixed Review 6.4 Radians, Arc Length, and Angular Speed 6.5 Circular Functions: Graphs and Properties 6.6 Graphs of Transformed Sine and Cosine Functions Visualizing the Graph Study Guide Review Exercises Chapter Test ¿ 7. Trigonometric Identities, Inverse Functions, and Equations 7.1 Identities: Pythagorean and Sum and Difference 7.2 Identities: Cofunction, Double-Angle, and Half-Angle 7.3 Proving Trigonometric Identities Mid-Chapter Mixed Review 7.4 Inverses of the Trigonometric Functions 7.5 Solving Trigonometric Equations Visualizing the Graph Study Guide Review Exercises Chapter Test ¿ 8. Applications of Trigonometry 8.1 The Law of Sines 8.2 The Law of Cosines 8.3 Complex Numbers: Trigonometric Form Mid-Chapter Mixed Review 8.4 Polar Coordinates and Graphs Visualizing the Graph 8.5 Vectors and Applications 8.6 Vector Operations Study Guide Review Exercises Chapter Test ¿ 9. Systems of Equations and Matrices 9.1 Systems of Equations in Two Variables Visualizing the Graph 9.2 Systems of Equations in Three Variables 9.3 Matrices and Systems of Equations 9.4 Matrix Operations 9.5 Inverses of Matrices 9.6 Determinants and Cramer’s Rule 9.7 Systems of Inequalities and Linear Programming 9.8 Partial Fractions Study Guide Review Exercises Chapter Test ¿ 10. Analytic Geometry Topics 10.1 The Parabola 10.2 The Circle and the Ellipse 10.3 The Hyperbola 10.4 Nonlinear Systems of Equations and Inequalities Visualizing the Graph Mid-Chapter Mixed Review 10.5 Rotation of Axes 10.6 Polar Equations of Conics 10.7 Parametric Equations Study Guide Review Exercises Chapter Test ¿ 11. Sequences, Series, and Combinatorics 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 geometric Sequences and Series Visualizing the Graph 11.4 Mathematical Induction Mid-Chapter Mixed Review 11.5 Combinatorics: Permutations 11.6 Combinatorics: Combinations 11.7 The Binomial Theorem 11.8 Probability Study Guide Review Exercises Chapter Test ¿ Photo Credits Answers Index Index of Applications Table of Contents
Get Precalculus: A Right Triangle Approach, 4th Edition by Judith A. Beecher, Indiana University Purdue University Indianapolis Judith A. Penna, Indiana University Purdue University Indianapolis Marvin L. Bittinger, Indiana University Purdue University Indianapolis
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