Functions 11

Chapter 1: Introduction of Functions

1.1       Relations and Functions

1.2        Function notation

1.3        Exploring Properties of Parent Functions

1.4        Determining the Domain and Range of a Function

1.5         The inverse Function and its properties

1.6         Exploring Transformations of Parent Functions

1.7         investigating Horizontal Stretches, Compressions, and Reflections

1.8         using Transformations to Graph Functions

Chapter 2: Equivalent Algebraic Expressions

2.1         Adding and Subtracting Polynomials

2.2         Multiplying Polynomials

2.3         Factoring Polynomials

2.4         Simplifying Rational Functions

2.5         Exploring Graphs of Rational Functions

2.6         Multiplying and Dividing Rational Expressions

2.7         Adding and Subtracting Rational Expressions

Chapter 3: Quadratic Functions

3.1      Properties of Quadratic Functions

3.2      Determining Maximum and Minimum Values of a Quadratic Function

3.3      The Inverse of a Quadratic Function

3.4      Operations with Radicals

3.5      Quadratic Function Models: Solving Quadratic Equations

3.6      The Zeros of a Quadratic Function

3.7       Families of Quadratic Functions

3.8       Linear-Quadratic systems

Chapter 4: Exponential Functions

4.1       Exploring Growth and Decay

4.2        Working with Integer Exponents

4.3        Working with Rational Exponents

4.4         Simplifying Algebraic Expressions Involving Exponents

4.5         Exploring the Properties of Exponential Functions

4.6         Transformations of Exponential Functions

4.7         Applications Involving Exponential Functions

Chapter 5: Trigonometric Ratios

5.1         Trigonometric Ratios of Acute Angles

5.2          Evaluating Trigonometric Ratios for Special Angles

5.3          Exploring Trigonometric Ratios for Angles greater than 90

5.4          Evaluating Trigonometric Ratios for Any angle between 0 and 360

5.5          Trigonometric Identities

5.6          The Sine Law

5.7          The Cosine Law

5.8           Solving Three-Dimensional Problems

Chapter 6: Sinusoidal Functions

6.1           Periodic Functions and Their properties

6.2            Investigating the properties of sinusoidal functions

6.3           Interpreting sinusoidal functions

6.4           Exploring transformations of sinusoidal functions

6.5           Using Transformations to Sketch 

6.6           Investigating models of sinusoidal functions

6.7           Solving problems using sinusoidal models

Chapter 7: Discrete Functions: Sequence and Series

7.1            Arithmetic Sequence

7.2             Geometric Sequence

7.3             Creating Rules to Define Sequence

7.4             Exploring Recursive Sequences

7.5              Arithmetic Series

7.6              Geometric Series

7.7              Pascal's Triangle and Binomial Expressions

Chapter 8: Discrete Functions; Financial Applications

8.1               Simple Interest

8.2      Compound Interest: Future Value

8.3      Compound Interest: Present Value

8.4      Annuities: Future Value

8.5      Annuities: Present Value