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This is last edition of the textbook covering a two-quarter pre-calculus sequence including trigonometry. The book is offered in a traditional format in which exercises follow each section. Many of errors in the 1st edition have been corrected in this Edition
The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.
The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisted more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation.
About the Authors
Acknowledgements
Supplements
How To Be Successful In This Course
Functions
Functions and Function Notation
Domain and Range
Rates of Change and Behavior of Graphs
Composition of Functions
Transformation of Functions
Inverse Functions
Linear Functions
Linear Functions
Graphs of Linear Functions
Modeling with Linear Functions
Fitting Linear Models to Data
Absolute Value Functions
Polynomial and Rational Functions
Power Functions &amp Polynomial Functions
Quadratic Functions
Graphs of Polynomial Functions
Rational Functions
Inverses and Radical Functions
Exponential and Logarithmic Functions
Exponential Functions
Graphs of Exponential Functions
Logarithmic Functions
Logarithmic Properties
Graphs of Logarithmic Functions
Exponential and Logarithmic Models
Fitting Exponentials to Data
Trigonometric Functions of Angles
Circles
Angles
Points on Circles using Sine and Cosine
The Other Trigonometric Functions
Right Triangle Trigonometry
Periodic Functions
Sinusoidal Graphs
Graphs of the Other Trig Functions
Inverse Trig Functions
Solving Trig Equations
Modeling with Trigonometric Equations
Trigonometric Equations and Identities
Solving Trigonometric Equations with Identities
Addition and Subtraction Identities
Double Angle Identities
Modeling Changing Amplitude and Midline
Further Applications of Trigonometry
Non-right Triangles: Law of Sines and Cosines
Polar Coordinates
Polar Foim of Complex Numbers
Vectors
Parametric Equations
Solutions to Selected Exercises