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
 OneVariable 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