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Table Of Content1. Linear Functions, Equations, and Inequalities 1.1 Real Numbers and the Rectangular Coordinate System 1.2 Introduction to Relations and Functions 1.3 Linear Functions 1.4 Equations of Lines and Linear Models 1.5 Linear Equations and Inequalities 1.6 Applications of Linear Functions 2. Analysis of Graphs of Functions 2.1 Graphs of Basic Functions and Relations; Symmetry 2.2 Vertical and Horizontal Shifts of Graphs 2.3 Stretching, Shrinking, and Reflecting Graphs 2.4 Absolute Value Functions 2.5 Piecewise-Defined Functions 2.6 Operations and Composition 3. Polynomial Functions 3.1 Complex Numbers 3.2 Quadratic Functions and Graphs 3.3 Quadratic Equations and Inequalities 3.4 Applications of Quadratic Functions and Models 3.5 Higher-Degree Polynomial Functions and Graphs 3.6 Topics in the Theory of Polynomial Functions (I) 3.7 Topics in the Theory of Polynomial Functions (II) 3.8 Polynomial Equations and Inequalities; Further Applications and Models 4. Rational, Power, and Root Functions 4.1 Rational Functions and Graphs I 4.2 Rational Functions and Graphs II 4.3 Rational Equations, Inequalities, Models, and Applications 4.4 Functions Defined by Powers and Roots 4.5 Equations, Inequalities, and Applications Involving Root Functions 5. Inverse, Exponential, and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions 5.3 Logarithms and Their Properties 5.4 Logarithmic Functions 5.5 Exponential and Logarithmic Equations and Inequalities 5.6 Further Applications and Modeling with Exponential and Logarithmic Functions 6. Systems and Matrices 6.1 Systems of Equations 6.2 Solution of Linear Systems in Three Variables 6.3 Solution of Linear Systems by Row Transformations 6.4 Matrix Properties and Operations 6.5 Determinants and Cramer''s Rule 6.6 Solution of Linear Systems by Matrix Inverses 6.7 Systems of Inequalities and Linear Programming 6.8 Partial Fractions 7. Analytic Geometry and Nonlinear Systems 7.1 Circles and Parabolas 7.2 Ellipses and Hyperbolas 7.3 The Conic Sections and Nonlinear Systems 7.4 Parametric Equations 8. Trigonometric Functions and Applications 8.1 Angles and Their Measures 8.2 Trigonometric Functions and Fundamental Identities 8.3 Right Triangles and Evaluating Trigonometric Functions 8.4 Applications of Right Triangles 8.5 The Circular Functions 8.6 Graphs of the Sine and Cosine Functions 8.7 Graphs of the Other Circular Functions 8.8 Harmonic Motion 9. Trigonometric Identities and Equations 9.1 Trigonometric Identities 9.2 Sum and Difference Identities 9.3 Further Identities 9.4 The Inverse Circular Functions 9.5 Trigonometric Equations and Inequalities (I) 9.6 Trigonometric Equations and Inequalities (II) 10. Applications of Trigonometry and Vectors 10.1 The Law of Sines 10.2 The Law of Cosines and Area Formulas 10.3 Vectors and Their Applications 10.4 Trigonometric (Polar) Form of Complex Numbers 10.5 Powers and Roots of Complex Numbers 10.6 Polar Equations and Graphs 10.7 More Parametric Equations 11. Further Topics in Algebra 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 Counting Theory 11.5 The Binomial Theorem 11.6 Mathematical Induction 11.7 Probability R. Reference: Basic Algebraic Concepts R.1 Review of Exponents and Polynomials R.2 Review of Factoring R.3 Review of Rational Expressions R.4 Review of Negative and Rational Exponents R.5 Review of Radicals
SynopsisFor courses in Algebra, Trigonometry, and Precalculus Hornsby/Lial/Rockswold's Graphical Approach covers functions through a consistent four part analytical process that asks students to 1) Examine the nature of the graph 2) Solve a typical equation analytically and graphically 3) Solve the related inequality analytically and graphically, and finally, 4) Apply analytic and graphical methods to solve an application of that class of function. To provide a better teaching and learning experience for both instructors and students, this program will: Improve Results with MyMathLab: MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning. Build students' analytical skills: The authors' consistent four step process helps students gain a deep visual and graphical understanding of math, solidifying a stronger connection to the mathematical world around them. The visualizations throughout the text have been enhanced to increase students' comprehension of core algebra and trigonometry concepts. Updated chapters provide students with clear explanations, examples and data: New chapter updates present explanations, exercisesand examples to ensure that students will truly comprehend and retain information., Hornsby/Lial/Rockswold's Graphical Approach covers functions through a consistent four part analytical process that asks students to 1) Examine the nature of the graph 2) Solve a typical equation analytically and graphically 3) Solve the related inequality analytically and graphically, and finally, 4) Apply analytic and graphical methods to solve an application of that class of function. KEY TOPICS: Linear Functions, Equations, and Inequalities; Analysis of Graphs of Functions; Polynomial Functions; Rational, Power, and Root Functions; Inverse, Exponential, and Logarithmic Functions; Systems and Matrices; Analytic Geometry and Nonlinear Systems; Trigonometric Functions and Applications; Trigonometric Identities and Equations; Applications of Trigonometry and Vectors; Reference: Basic Algebraic Concepts MARKET: For all readers interested in algebra., Hornsby/Lial/Rockswold's Graphical Approach covers functions through a consistent four part analytical process that asks students to 1) Examine the nature of the graph 2) Solve a typical equation analytically and graphically 3) Solve the related inequality analytically and graphically, and finally, 4) Apply analytic and graphical methods to solve an application of that class of function. ALERT: Before you purchase, check with your instructor or review your course 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. -- 0321900227 / 9780321900227 A Graphical Approach to Algebra and Trigonometry Plus MyMathLab with eText-- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321927338 / 9780321927330 A Graphical Approach to Algebra and Trigonometry