chapter one preparation for calculus. copyright © houghton mifflin company. all rights reserved. 1...

Chapter One

Preparation for Calculus

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Intercepts of a Graph

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Symmetry of a Graph

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Definition of the Slope of a Line

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Slope of a Line

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Equations of Lines

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Slope-Intercept Equation of a Line

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Summary of Equations of Lines

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Parallel and Perpendicular Lines

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Definition of a Real-Valued Function

of a Real Variable

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The Graph of a Function

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Vertical Line Test

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The Graphs of Eight Basic Functions

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Transformations of Functions

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Basic Types of Transformations

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Leading Coefficient Test

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Definition of Composite Function

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Definition of Inverse Function

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Reflective Property of Inverse Functions

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Inverse Functions

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Inverse Functions (cont’d)

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Definition of Inverse Trigonometric Functions

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Graphs of Inverse Trigonometric Functions

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Properties of Inverse Trigonometric Functions

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Definition of the Natural Logarithmic Function