# Algebra II

Chapter 1 Foundations for Functions

Chapter 2 Quadratic Functions

Chapter 3 Polynomial Functions

Chapter 4 Exponential and Logarithmic Functions

Chapter 5 Rational and Radical Functions

Chapter 6 Properties and Attributes of Functions

Chapter 7 Probability

Chapter 8 Data Analysis and Statistics

Chapter 9 Sequences and Series

Chapter 10 Trigonometric Functions

Chapter 11 Trigonometric Graphs and Identities

Chapter 12 Conic Sections

**Chapter 1 Foundations for Functions**

1-1 Exploring Transformations

1-2 Introduction to Parent Functions

1-3 Transforming Linear Functions

1-4 Curve Fitting With Linear Models

**Chapter 2 Quadratic Functions**

2-1 Using Transformations to Graph Quadratic Functions

2-2 Properties of Quadratic Functions in Standard Form

2-3 Solving Quadratic Equations by Graphing and Factoring

2-4 Completing the Square

2-5 Complex Numbers and Roots

2-6 The Quadratic Formula

2-7 Solving Quadratic Inequalities

2-8 Curve Fitting with Quadratic Models

2-9 Operations with Complex Numbers

**Chapter 3 Polynomial Functions**

3-1 Polynomials

3-2 Multiplying Polynomials

3-3 Dividing Polynomials

3-4 Factoring Polynomials

3-5 Finding Real Roots of Polynomial Equations

3-6 Fundamental Theorem of Algebra

3-7 Investigating Graphs of Polynomial Functions

3-8 Transforming Polynomial Functions

3-9 Curve Fitting with Polynomial Models

**Chapter 4 Exponential and Logarithmic Functions**

4-1 Exponential Functions, Growth, and Decay

4-2 Inverses of Relations and Functions

4-3 Logarithmic Functions

4-4 Properties of Logarithms

4-5 Exponential and Logarithmic Equations and Inequalities

4-6 The Natural Base, e

4-7 Transforming Exponential and Logarithmic Functions

4-8 Curve Fitting With Exponential and Logarithmic Models

**Chapter 5 Rational and Radical Functions**

5-1 Variation Functions

5-2 Multiplying and Dividing Rational Expressions

5-3 Adding and Subtracting Rational Expressions

5-4 Rational Functions

5-5 Solving Rational Equations and Inequalities

5-6 Radical Expressions and Rational Exponents

5-7 Radical Functions

5-8 Solving Radical Equations and Inequalities

**Chapter 6 Properties and Attributes of Functions**

6-1 Multiple Representations of Functions

6-2 Comparing Functions

6-3 Piecewise Functions

6-4 Transforming Functions

6-5 Operations with Functions

6-6 Functions and Their Inverses

6-7 Modeling Real-World Data

**Chapter 7 Probability**

7-1 Permutations and Combinations

7-2 Theoretical and Experimental Probability

7-3 Independent and Dependent Events

7-4 Two-Way Tables

7-5 Compound Events

**Chapter 8 Data Analysis and Statistics**

8-1 Measures of Central Tendency and Dispersion

8-2 Data Gathering

8-3 Surveys, Experiments, and Observational Studies

8-4 Significance of Experimental Results

8-5 Sampling Distributions

8-7 Fitting to a Normal Distribution

8-8 Analyzing Decisions

**Chapter 9 Sequences and Series**

9-1 Introduction to Sequences

9-2 Series and Summation Notation

9-3 Arithmetic Sequences and Series

9-4 Geometric Sequences and Series

9-5 Mathematical Induction and Infinite Geometric Series

**Chapter 10 Trigonometric Functions**

10-1 Right-Angle Trigonometry

10-2 Angles of Rotation

10-3 The Unit Circle

10-4 Inverses of Trigonometric Functions

10-5 The Law of Sines

10-6 The Law of Cosines

**Chapter 11 Trigonometric Graphs and Identities**

11-1 Graphs of Sine and Cosine

11-2 Graphs of Other Trigonometric Functions

11-3 Fundamental Trigonometric Identities

11-4 Sum and Difference Identities

11-5 Double-Angle and Half-Angle Identities

11-6 Solving Trigonometric Equations

Chapter 12 Conic Sections

12-1 Introduction to Conic Sections

12-2 Circles

12-3 Ellipses

12-4 Hyperbolas

12-5 Parabolas

12-6 Identifying Conic Sections

12-7 Solving Nonlinear Systems