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Graphical Approach to Precalculus with Limits: A Unit Circle Approach

John Hornsby, David I. Schneider, Callie Daniels

Information

  • Publisher
  • ISBN
  • ePub ISBN
  • Pearson UK
  • 9781292053653
  • 9781292040806
  • Published at
  • Pressing
  • 2013
  • 5

About this book

Chapter 1  Linear Functions, Equations, and Inequalities  1.1  Real Numbers and the Rectangular Coordinate System 1.2  Introduction to Relations and Functions Reviewing Basic Concepts 1.3  Linear Functions 1.4  Equations of Lines and Linear Models Reviewing Basic Concepts 1.5  Linear Equations and Inequalities 1.6  Applications of Linear Functions  Reviewing Basic Concepts Summary Review Exercises Test   Chapter 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 Reviewing Basic Concepts 2.4  Absolute Value Functions 2.5  Piecewise-Defined Functions 2.6  Operations and Composition Reviewing Basic Concepts   Summary Review Exercises Test      Chapter 3  Polynomial Functions 3.1  Complex Numbers 3.2  Quadratic Functions and Graphs 3.3  Quadratic Equations and Inequalities Reviewing Basic Concepts 3.4  Further Applications of Quadratic Functions and Models 3.5  Higher-Degree Polynomial Functions and Graphs Reviewing Basic Concepts 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 Reviewing Basic Concepts   Summary Review Exercises Test   Chapter 4  Rational, Power, and Root Functions 4.1  Rational Functions and Graphs 4.2  More on Rational Functions and Graphs 4.3  Rational Equations, Inequalities, Models, and Applications Reviewing Basic Concepts 4.4  Functions Defined by Powers and Roots 4.5  Equations, Inequalities, and Applications Involving Root Functions Reviewing Basic Concepts   Summary Review Exercises Test    Chapter 5  Inverse, Exponential, and Logarithmic Functions 5.1  Inverse Functions 5.2  Exponential Functions 5.3  Logarithms and Their Properties Reviewing Basic Concepts 5.4  Logarithmic Functions 5.5  Exponential and Logarithmic Equations and Inequalities Reviewing Basic Concepts 5.6  Further Applications and Modeling with Exponential and Logarithmic Functions   Summary Review Exercises Test    Chapter 6  Analytic Geometry 6.1  Circles and Parabolas 6.2  Ellipses and Hyperbolas Reviewing Basic Concepts 6.3  Summary of Conic Sections 6.4  Parametric Equations  Reviewing Basic Concepts   Summary Review Exercises Test       Chapter 7  Systems of Equations and Inequalities; Matrices 7.1  Systems of Equations 7.2  Solution of Linear Systems in Three Variables 7.3  Solution of Linear Systems by Row Transformations Reviewing Basic Concepts 7.4  Matrix Properties and Operations 7.5  Determinants and Cramer’s Rule 7.6  Solution of Linear Systems by Matrix Inverses Reviewing Basic Concepts 7.7  Systems of Inequalities and Linear Programming 7.8  Partial Fractions Reviewing Basic Concepts   Summary Review Exercises Test      Chapter 8 The Unit Circle and the Functions of Trigonometry 8.1 A

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