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ALERTcourse syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase. -- The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students "see the math" through its focus on visualization and technology.These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications. With the Fifth Edition, visualization is taken to a new level with technology. The authors also integrate smartphone apps, encouraging readers to visualize the math. In addition, ongoing review has been added with new Mid-Chapter Mixed Review exercise sets and new Study Guide summaries to help students prepare for tests.
Contents
Preface Guide to Success R. Basic Concepts of Algebra R.1 The Real-Number System R.2 Integer Exponents, Scientific Notation, and Order of Operations R.3 Addition, Subtraction, and Multiplication of Polynomials R.4 Factoring R.5 The Basics of Equation Solving R.6 Rational Expressions R.7 Radical Notation and Rational Exponents 1. 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 2. 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 2.5 Transformations 2.6 Variation and Applications 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 3.4 Solving Rational Equations and Radical Equations 3.5 Solving Equations and Inequalities with Absolute Value 4. Polynomial and Rational Functions 4.1 Polynomial Functions and Modeling 4.2 Graphing Polynomial Functions 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem 4.4 Theorems about Zeros of Polynomial Functions 4.5 Rational Functions 4.6 Polynomial Inequalities and Rational Inequalities 5. Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3 Logarithmic Functions and Graphs 5.4 Properties of Logarithmic Functions 5.5 Solving Exponential and Logarithmic Equations 5.6 Applications and Models: Growth and Decay; Compound Interest 6. The Trigonometric Functions 6.1 Trigonometric Functions of Acute Angles 6.2 Applications of Right Triangles 6.3 Trigonometric Functions of Any Angle 6.4 Radians, Arc Length, and Angular Speed 6.5 Circular Functions: Graphs and Properties 6.6 Graphs of Transformed Sine and Cosine Functions 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 7.4 Inverses of the Trigonometric Functions 7.5 Solving Trigonometric Equations 8. Applications of Trigonometry 8.1 The Law of Sines 8.2 The Law of Cosines 8.3 Complex Numbers: Trigonometric Form 8.4 Polar Coordinates and Graphs 8.5 Vectors and Applications 8.6 Vector Operations 9. Systems of Equations and Matrices 9.1 Systems of Equations in Two Variables 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 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 10.5 Rotation of Axes 10.6 Polar Equations of Conics 10.7 Parametric Equations 11. Sequences, Series, and Combinatorics 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 Mathematical Induction 11.5 Combinatorics: Permutations 11.6 Combinatorics: Combinations 11.7 The Binomial Theorem 11.8 Probability Photo Credits Answers Index of Applications Index
