College Algebra: A Graphing Approach Third Edition

Contents Note: Each chapter contains a Chapter Summary, Review Exercises, and a Chapter Test. 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 Project: Modeling the Volume of a Box Library of Functions 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 Project: Modeling the Area of a Plot 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 Project: Mozart and the Golden Ratio Cumulative Test: Chapters P-2 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 Project: Finding Points of Intersection 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 Project: A Graphical Approach to Compound Interest 5. Systems of Equations and Inequalities 5.1 Solving Systems of Equations 5.2 Systems of Linear Equations in Two Variables 5.3 Multivariable Linear Systems 5.4 Systems of Inequalities 5.5 Linear Programming Chapter Project: Fitting Models to Data Cumulative Test: Chapters 3-5 6. Matrices and Determinants 6.1 Matrices and Systems of Equations 6.2 Operations with Matrices 6.3 The Inverse of a Square Matrix 6.4 The Determinant of a Square Matrix 6.5 Applications of Matrices and Determinants Chapter Project: Solving System of Equations 7. Sequences, Series, and Probability 7.1 Sequences and Series 7.2 Arithmetic Sequences and Partial Sums 7.3 Geometric Sequences and Series 7.4 Mathematical Induction 7.5 The Binomial Theorem 7.6 Counting Principles 7.7 Probability Chapter Project: Fitting Models to Data 8. Conics and Parametric Equations 8.1 Conics 8.2 Translations of Conics 8.3 Parametric Equations Appendices: A. Proofs of Selected Theorems. B. Concepts in Statistics. B.1 Representing Data. B.2 Measures of Central Tendency and Dispersion. B.3 Least Squares Regression. C. Solving Linear Equations and InequalitiesRobert P. Hostetler is the author of 'College Algebra: A Graphing Approach Third Edition', published 2000 under ISBN 9780618052882 and ISBN 0618052887.