Table of Contents
-
Real Functions and Graphing Curves
- Identifying Functions
- Domain and Range of a Function
- Piecewise Functions
- Domain and Range of a Piecewise Function
- Graphs of Piecewise Functions
- The Domain and the Range of a Radical Function
- Combining Functions
- Increasing and Decreasing Intervals of a Function
- Domain and Range from Function Graphs
- Even and Odd Functions
- Graphing Linear Functions
- Graphing Quadratic Functions
- Cubic Functions and Their Graphs
- Absolute Value Functions
- Graphs of Rational Functions
- Function Transformations: Translations
- Function Transformations: Reflection
- Function Transformations: Dilation
- Transformation of Trigonometric Functions
- Combining Function Transformations
- Absolute Value Equations
- One-Variable Absolute Value Inequalities
-
Exponents, Logarithms, and Their Applications
- Simplifying Algebraic Expressions: Negative and Fractional Exponents
- Simplifying Exponential Expressions with Rational Exponents
- nth Roots: Integers
- nth Roots: Expressions and Equations
- Exponential Functions
- Graphs of Exponential Functions
- Applications of Exponential Functions
- Compound Interest
- Exponential Growth and Decay
- Solving Exponential Equations Using Exponent Properties
- Solving Exponential Equations Graphically
- Logarithmic Functions
- Evaluating Logarithms
- Converting between Logarithmic and Exponential Forms
- Graphs of Logarithmic Functions
- Laws of Logarithms
- Logarithmic Equations with Like Bases
- Logarithmic Equations with Different Bases
- Solving Exponential Equations Using Logarithms
- Limits
- Trigonometry