Algebra 2 Companion Book, Volume 2

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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