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Table of Contents
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Chapter 1 • Analyzing Functions
- Relations and Functions
- Domain and Range of a Function
- Evaluating Functions
- Domain and Range from Function Graphs
- Intercepts and Symmetry of Graphs of Functions
- Features of Quadratic Functions
- Even and Odd Functions
- Continuity at a Point
- The Mean Value Theorem
- Increasing and Decreasing Intervals of a Function
- Average and Instantaneous Rates of Change
- Combining Functions
- Composite Functions
- Inverse of a Function
- Graphs of Inverses of Functions
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Chapter 2 • Exponential and Logarithmic Functions and Relations
- Graphs of Exponential Functions
- Exponential Growth and Decay
- Solving Exponential Equations Using Exponent Properties
- Exponential Growth and Decay Models
- Compound Interest
- Exponential Inequalities
- Evaluating Logarithms
- Graphs of Logarithmic Functions
- Laws of Logarithms
- Logarithmic Equations with Like Bases
- Logarithmic Equations with Different Bases
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Chapter 3 • Trigonometric Identities and Equations
- Reciprocal and Quotient Identities
- Evaluating Trigonometric Functions Using Pythagorean Identities
- Evaluating Trigonometric Functions Using Cofunction Identities
- Simplifying Trigonometric Expressions
- Simplifying Trigonometric Expressions Using Trigonometric Identities
- Angle Sum and Difference Identities
- Double-Angle and Half-Angle Identities
- Simple Trigonometric Equations
- Chapter 4 • Conic Sections