This companion book to Thinkwell's Algebra 2 course includes: • Illustrated lesson notes • Lesson worksheets • Practice exercises • Review worksheets • Suggested pacing guide • Formula and resource worksheets Volume 1 covers: Ch 6 - Polynomial Functions Ch 7 - Exponential and Logarithmic Functions Ch 8 - Rational and Radical Functions Ch 9 - Properties and Attributes of Functions
Cover | 1 |
Welcome Page | 5 |
Table of Contents | 9 |
Tips for Success | 11 |
Suggested Pacing Guide | 13 |
Chapter 6 – Polynomial Functions | 15 |
6.1 Operations with Polynomials | 17 |
6.1.1 Polynomials | 19 |
6.1.2 Adding and Subtracting Polynomials | 25 |
6.1.3 Multiplying Polynomials | 30 |
6.1.4 Factoring Polynomials | 37 |
6.1.5 Dividing Polynomials | 43 |
6.1.6 Synthetic Division and the Remainder and Factor Theorems | 49 |
6.1 Review Worksheet, Part 1 | 57 |
6.1 Review Worksheet, Part 2 | 59 |
6.2 Roots and Graphs of Polynomial Functions | 61 |
6.2.1 Finding Real Roots of Polynomial Equations | 63 |
6.2.2 Fundamental Theorem of Algebra | 69 |
6.2.3 Investigating Graphs of Polynomial Functions | 75 |
6.2.4 Transforming Polynomial Functions | 83 |
6.2.5 Curve Fitting with Polynomial Models | 90 |
6.2 Review Worksheet, Part 1 | 95 |
6.2 Review Worksheet, Part 2 | 98 |
Chapter 7 – Exponential and Logarithmic Functions | 101 |
7.1 Exponential Functions and Logarithms | 103 |
7.1.1 Exponential Functions, Growth, and Decay | 105 |
7.1.2 Inverses of Relations and Functions | 110 |
7.1.3 Logarithmic Functions | 116 |
7.1.4 Properties of Logarithms | 122 |
7.1 Review Worksheet | 128 |
7.2 Applying Exponential and Logarithmic Functions | 133 |
7.2.1 Exponential and Logarithmic Equations and Inequalities | 135 |
7.2.2 The Natural Base, e | 142 |
7.2.3 Transforming Exponential and Logarithmic Functions | 147 |
7.2.4 Curve Fitting With Exponential and Logarithmic Models | 153 |
7.2 Review Worksheet | 158 |
Chapter 8 – Rational and Radical Functions | 163 |
8.1 Rational Functions | 165 |
8.1.1 Variation Functions | 167 |
8.1.2 Multiplying and Dividing Rational Expressions | 175 |
8.1.3 Adding and Subtracting Rational Expressions | 182 |
8.1.4 Rational Functions | 190 |
8.1.5 Solving Rational Equations and Inequalities | 199 |
8.1 Review Worksheet, Part 1 | 207 |
8.1 Review Worksheet, Part 2 | 211 |
8.2 Radical Functions | 213 |
8.2.1 Radical Expressions and Rational Exponents | 215 |
8.2.1 Radical Expressions and Rational Exponents (continued) | 217 |
8.2.2 Radical Functions | 222 |
8.2.3 Solving Radical Equations and Inequalities | 230 |
8.2 Review Worksheet | 239 |
Chapter 9 – Properties and Attributes of Functions | 243 |
9.1 Functions and Their Graphs | 245 |
9.1.1 Multiple Representations of Functions | 247 |
9.1.2 Piecewise Functions | 253 |
9.1.3 Transforming Functions | 253 |
9.1 Review Worksheet | 264 |
9.2 Functional Relationships | 269 |
9.2.1 Operations with Functions | 271 |
9.2.2 Functions and Their Inverses | 278 |
9.2.3 Modeling Real-World Data | 284 |
9.2 Review Worksheet | 291 |
Formulas & Symbols | 295 |
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