ix Contents Three Distinct Series xix The Enhanced with Graphing Utilities Series xx Preface to the Instructor xxi To the Student xxx Applications Index xxxi 2 Functions and Their Graphs 60 2.1 Functions 61 Describe a Relation • Determine Whether a Relation Represents a Function • Use Function Notation; Find the Value of a Function • Find the Difference Quotient of a Function • Find the Domain of a Function Defined by an Equation • Form the Sum, Difference, Product, and Quotient of Two Functions 2.2 The Graph of a Function 77 Identify the Graph of a Function • Obtain Information from or about the Graph of a Function 1 Graphs 1 1.1 Graphing Utilities; Introduction to Graphing Equations 2 Graph Equations by Plotting Points • Graph Equations Using a Graphing Utility • Use a Graphing Utility to Create Tables • Find Intercepts from a Graph • Use a Graphing Utility to Approximate Intercepts 1.2 The Distance and Midpoint Formulas 13 Use the Distance Formula • Use the Midpoint Formula 1.3 Intercepts; Symmetry; Graphing Key Equations 20 Find Intercepts Algebraically from an Equation • Test an Equation for Symmetry with Respect to the x -Axis, the y -Axis, and the Origin • Know How to Graph Key Equations 1.4 Solving Equations Using a Graphing Utility 28 Solve Equations Using a Graphing Utility 1.5 Lines 32 Calculate and Interpret the Slope of a Line • Graph Lines Given a Point and the Slope • Find the Equation of a Vertical Line • Use the Point-Slope Form of a Line; Identify Horizontal Lines • Use the Slope-Intercept Form of a Line • Find the Equation of a Line Given Two Points • Graph Lines Written in General Form Using Intercepts • Find Equations of Parallel Lines • Find Equations of Perpendicular Lines 1.6 Circles 48 Write the Standard Form of the Equation of a Circle • Graph a Circle by Hand and by Using a Graphing Utility • Work with the General Form of the Equation of a Circle Chapter Review 56 Chapter Test 58 Chapter Project 59
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