x Contents 2.3 Properties of Functions 87 Identify Even and Odd Functions from a Graph • Identify Even and Odd Functions from an Equation • Use a Graph to Determine Where a Function Is Increasing, Decreasing, or Constant • Use a Graph to Locate Local Maxima and Local Minima • Use a Graph to Locate the Absolute Maximum and the Absolute Minimum • Use a Graphing Utility to Approximate Local Maxima and Local Minima and to Determine Where a Function Is Increasing or Decreasing • Find the Average Rate of Change of a Function 2.4 Library of Functions; Piecewise-defined Functions 100 Graph the Functions Listed in the Library of Functions • Analyze a Piecewise-defined Function 2.5 Graphing Techniques: Transformations 112 Graph Functions Using Vertical and Horizontal Shifts • Graph Functions Using Compressions and Stretches • Graph Functions Using Reflections about the x -Axis or y -Axis 2.6 Mathematical Models: Building Functions 126 Build and Analyze Functions Chapter Review 131 Chapter Test 135 Cumulative Review 136 Chapter Project 136 3 Linear and Quadratic Functions 138 3.1 Properties of Linear Functions and Linear Models 139 Graph Linear Functions • Use Average Rate of Change to Identify Linear Functions • Determine Whether a Linear Function Is Increasing, Decreasing, or Constant • Build Linear Models from Verbal Descriptions 3.2 Building Linear Models from Data 149 Draw and Interpret Scatter Plots • Distinguish between Linear and Nonlinear Relations • Use a Graphing Utility to Find the Line of Best Fit 3.3 Quadratic Functions and Their Properties 157 Graph a Quadratic Function Using Transformations • Identify the Vertex and Axis of Symmetry of a Parabola • Graph a Quadratic Function Using Its Vertex, Axis, and Intercepts • Find a Quadratic Function Given Its Vertex and One Other Point • Find the Maximum or Minimum Value of a Quadratic Function 3.4 Building Quadratic Models from Verbal Descriptions and from Data 171 Build Quadratic Models from Verbal Descriptions • Build Quadratic Models from Data 3.5 Inequalities Involving Quadratic Functions 179 Solve Inequalities Involving a Quadratic Function Chapter Review 184 Chapter Test 186 Cumulative Review 187 Chapter Project 188 4 Polynomial and Rational Functions 189 4.1 Polynomial Functions 190 Identify Polynomial Functions and Their Degree • Graph Polynomial Functions Using Transformations • Identify the Real Zeros of a Polynomial Function and Their Multiplicity
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