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Full Description
A Graphical Approach to Precalculus with Limitsillustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students' understanding of the interrelationships among graphs, equations, and inequalities. With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today's students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach continues to incorporate an open design, with helpful features and careful explanations of topics.
Contents
Chapter 1 Linear Functions, Equations, and Inequalities 1.1 Real Numbers and the Rectangular Coordinate System1.2 Introduction to Relations and Functions Reviewing Basic Concepts 1.3 Linear Functions1.4 Equations of Lines and Linear ModelsReviewing Basic Concepts 1.5 Linear Equations and Inequalities1.6 Applications of Linear Functions Reviewing Basic ConceptsSummaryReview ExercisesTestChapter 2 Analysis of Graphs of Functions2.1 Graphs of Basic Functions and Relations; Symmetry 2.2 Vertical and Horizontal Shifts of Graphs 2.3 Stretching, Shrinking, and Reflecting GraphsReviewing Basic Concepts2.4 Absolute Value Functions2.5 Piecewise-Defined Functions2.6 Operations and CompositionReviewing Basic ConceptsSummaryReview ExercisesTestChapter 3 Polynomial Functions3.1 Complex Numbers3.2 Quadratic Functions and Graphs3.3 Quadratic Equations and InequalitiesReviewing Basic Concepts3.4 Further Applications of Quadratic Functions and Models3.5 Higher-Degree Polynomial Functions and GraphsReviewing Basic Concepts3.6 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 ModelsReviewing Basic ConceptsSummaryReview ExercisesTestChapter 4 Rational, Power, and Root Functions4.1 Rational Functions and Graphs4.2 More on Rational Functions and Graphs4.3 Rational Equations, Inequalities, Models, and ApplicationsReviewing Basic Concepts 4.4 Functions Defined by Powers and Roots4.5 Equations, Inequalities, and Applications Involving Root FunctionsReviewing Basic ConceptsSummaryReview ExercisesTestChapter 5 Inverse, Exponential, and Logarithmic Functions5.1 Inverse Functions5.2 Exponential Functions5.3 Logarithms and Their PropertiesReviewing Basic Concepts5.4 Logarithmic Functions5.5 Exponential and Logarithmic Equations and InequalitiesReviewing Basic Concepts5.6 Further Applications and Modeling with Exponential and Logarithmic FunctionsSummaryReview ExercisesTestChapter 6 Analytic Geometry6.1 Circles and Parabolas6.2 Ellipses and HyperbolasReviewing Basic Concepts6.3 Summary of Conic Sections6.4 Parametric Equations Reviewing Basic ConceptsSummary Review Exercises Test Chapter 7 Systems of Equations and Inequalities; Matrices7.1 Systems of Equations7.2 Solution of Linear Systems in Three Variables7.3 Solution of Linear Systems by Row TransformationsReviewing Basic Concepts7.4 Matrix Properties and Operations7.5 Determinants and Cramer's Rule7.6 Solution of Linear Systems by Matrix InversesReviewing Basic Concepts7.7 Systems of Inequalities and Linear Programming7.8 Partial FractionsReviewing Basic ConceptsSummary Review Exercises Test Chapter 8 The Unit Circle and the Functions of Trigonometry8.1 A
