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Precalculus: An Investigation of Functions
David Lippman and Melonie Rasmussen
Table of Contents
| Front Matter |
PDF DOC |
Chapter 1: Functions
- 1.1 Functions and Function Notation
- 1.2 Domain and Range
- 1.3 Rates of Change and Behavior of Graphs
- 1.4 Composition of Functions
- 1.5 Transformation of Functions
- 1.6 Inverse Functions
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Chapter 2: Linear Functions
- 2.1 Linear Functions
- 2.2 Graphs of Linear Functions
- 2.3 Modeling with Linear Functions
- 2.4 Fitting Linear Models to Data
- 2.5 Absolute Value Functions
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PDF DOC |
Chapter 3: Polynomial and Rational Functions
- 3.1 Power Functions & Polynomial Functions
- 3.2 Quadratic Functions
- 3.3 Graphs of Polynomial Functions
- 3.4 Rational Functions
- 3.5 Inverses and Radical Functions
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Chapter 4: Exponential and Logarithmic Functions
- 4.1 Exponential Functions
- 4.2 Graphs of Exponential Functions
- 4.3 Logarithmic Functions
- 4.4 Logarithmic Properties
- 4.5 Graphs of Logarithmic Functions
- 4.6 Exponential and Logarithmic Models
- 4.7 Fitting Exponentials to Data
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Chapter 5: Trigonometric Functions of Angles
- 5.1 Circles
- 5.2 Angles
- 5.3 Points on Circles using Sine and Cosine
- 5.4 The Other Trigonometric Functions
- 5.5 Right Triangle Trigonometry
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Chapter 6: Periodic Functions
- 6.1 Sinusoidal Graphs
- 6.2 Graphs of the Other Trig Functions
- 6.3 Inverse Trig Functions
- 6.4 Solving Trig Equations
- 6.5 Modeling with Trigonometric Equations
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Chapter 7: Trigonometric Equations and Identities
- 7.1 Solving Trigonometric Equations with Identities
- 7.2 Addition and Subtraction Identities
- 7.3 Double Angle Identities
- 7.4 Modeling Changing Amplitude and Midline
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Chapter 8: Further Applications of Trigonometry
- 8.1 Non-right Triangles: Law of Sines and Cosines
- 8.2 Polar Coordinates
- 8.3 Polar Form of Complex Numbers
- 8.4 Vectors
- 8.5 Parametric Equations
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| Answers to Selected Exercises |
PDF DOC |
| Index |
PDF DOC |
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