Table of Contents
Register Your Book Online! viii
About This Book x
1 Complex Numbers and Polynomials 1
Lesson 1.1 Complex Numbers 2
Lesson 1.2 Operations with Polynomials 9
Lesson 1.3 Polynomial Identities 13
Lesson 1.4 Graphing Polynomials (Beyond Quadratics) 17
Lesson 1.5 Tips for Factoring Polynomials 24
Lesson 1.6 Polynomials in the Real World 31
2 Systems of Equations and Rational Expressions 41
Lesson 2.1 The Fundamental Theorem of Algebra 42
Lesson 2.2 Systems of Equations 46
Lesson 2.3 Variation Equations 49
Lesson 2.4 Rational Expressions 54
3 Radical and Rational Equations and Inequalities 67
Lesson 3.1 Rational Equations in One Variable 68
Lesson 3.2 Rational inequalities in One Variable 75
Lesson 3.3 Rational Functions 78
Lesson 3.4 Radical Equations in One Variable 92
Lesson 3.5 Radical Inequalities in One Variable 95
Lesson 3.6 Radical Functions 98
4 Trigonometric Functions 117
Lesson 4.1 Trigonometric Ratios and Triangles 118
Lesson 4.2 Radians 122
Lesson 4.3 Trigonometric Functions and Circles 128
Lesson 4.4 Graphing Trigonometric Functions 135
Lesson 4.5 Trigonometric Function Identities 150
Lesson 4.6 Trigonometric Functions in Real Life 158
5 Logarithms 175
Lesson 5.1 Inverse Functions 176
Lesson 5.2 Logarithms 182
Lesson 5.3 Logarithmic Identities 192
Lesson 5.4 Logarithmic Functions 198
Lesson 5.5 Logarithms in the Real World 208
6 More Functions 225
Lesson 6.1 Cube Root Functions 226
Lesson 6.2 Piecewise-Defined Functions 235
Lesson 6.3 Exponential Functions 252
7 Making and Using Mathematical Models 273
Lesson 7.1 Manipulating Equations 274
Lesson 7.2 Interpreting Equations, Tables, and Graphs 277
Lesson 7.3 Modeling Situations with Equations and Inequalities 285
Lesson 7.4 Modeling Situations with Graphs 289
8 Inferences and Conclusions from Data 303
Lesson 8.1 Data Collection 304
Lesson 8.2 Means and Measures of Variability 312
Lesson 8.3 Frequency Distributions 316
Lesson 8.4 Probability Distributions 325
Lesson 8.5 Sample Proportions and Sampling Distributions 341
Lesson 8.6 Confidence Intervals and Margins of Error 347