Chapter 1: Introduction to Functions
1.1: Relations and Functions
1.2: Function Notation
1.3: Exploring Properties of Parent Function
1.4: Domain and Range of a Function
1.5: Inverse Function and Its Properties
1.6: Transformations of Parent Functions
1.7: Horizontal Stretches, Compressions and Reflections
1.8: Using Transformations to Graph Functions
Chapter 2: Equivalent Algebraic Expressions
2.1: Operations on Polynomials
2.2: Factoring Polynomials
2.3: Simplifying Rational Expressions
2.4: Graphs of Rational Functions
2.5: Operations on 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: Inverse of a Quadratic Function
3.4: Operations with Radicals
3.5: Quadratic Function Models
3.6: Zeroes 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 with Exponential Function
4.2: Integer Exponents
4.3: Rational Exponents
4.4: Simplifying Algebraic Expressions Involving Exponents
4.5: Properties of Exponential Functions
4.6: Transformations of Exponential Functions
4.7: Applications
Chapter 5: Trigonometric Ratios
5.1: Trigonometric Ratios of Acute Angles
5.2: Trigonometric Ratios for Special Angles
5.3: Trigonometric Ratios for Angles Between 0 and 360 Degrees
5.4: Trigonometric Identities
5.5: Sine Law
5.6: Cosine Law
5.7: Solving 3D Problems Using Trigonometry
Chapter 6: Sinusoidal Functions
6.1: Periodic Functions and Properties
6.2: Properties of Sinusoidal Functions
6.3: Interpreting Sinusoidal Functions
6.4: Transformations of Sinusoidal Functions and Sketching the Graph
6.5: Models of Sinusoidal Functions
6.6: Solving Problems Using Sinusoidal Functions
Chapter 7: Discrete Functions – Sequences and Series
7.1: Arithmetic Sequences
7.2: Geometric Sequences
7.3: Rules for Sequences
7.4: Recursive Sequences
7.5: Arithmetic Series
7.6: Geometric Series
7.7: Pascal’s Triangle and Binomial Expansion
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