Algebra 22018-05-13T00:22:43+00:00

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

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