- Chapter 1. Concept of a Function
- Relations
- Definition of a Function
- Transformations of Functions
- The Quadratic Function
- Square Root Function
- Reciprocal Function
- Inverse Function
- Chapter 2. Algebraic Skills
- Operations with Polynomials
- Simplifying with Radicals
- Linear Inequalities
- Factoring Polynomials
- Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Chapter 3. Quadratic Functions
- Solving Quadratic Equations
- Problems Giving Rise to Quadratic Equations
- Classifying the Roots of Quadratic Equations
- Maxium-Minimum Values of Quadratic Functions
- Chapter 4. Exponents and the Exponential Function
- The Law of Exponents
- Zero and Negative Exponents
- Rational Exponents
- The Exponential Function
- Investigating the Exponential Function: y=bx
- Solving Exponential Equations
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- Chapter 5. Sequences and Series
- Introduction to Sequences
- Arithmetic Sequences
- Geometric Sequences
- Arithmetic Series
- Geometric Series
- Chapter 6. Financial Applications
- Compound Interest
- Amount of an Annuity
- Chapter 7. Trigonometric Ratios
- Primary Trigonometric Ratios for Any Angle
- The Law of Sines
- The Law of Cosines
- Chapter 8. Trigonometric Functions
- Periodic Functions
- Trigonometric Functions
- Horizontal and Vertical Dilatations
- Multiple Transformations
- Chapter 9. Trigonometric Equations and Identities
- Simple Trigonometric Equations
- Identities
- Trigonometric Equations Containing Different Functions
- Compound Angle Identities
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