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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