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Precalculus: An Active Reading Approach
Elementary Functions
Jack Green, Nick Chura
Contents
Index
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Contents
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Front Matter
Colophon
Acknowledgements
To All
To the Student
To the Instructor
1
Functions: Definition and Notation
Function Notation (Input, Output)
Describing Function Behavior
Average Rate of Change
Projects: Functions and Notation
Gist of Functions: Definition and Notation
2
Domain, Range and Piecewise Defined Functions
Domain and Range Activity
Piecewise Defined Functions Activity
Gist of Domain, Range and Piecewise Defined Functions
3
Exponential Functions
Introduction to Exponential Functions
Compounding in Finance, Continous Compounding and the Number \(e\)
Review Percent Change
Gist of Exponential Functions
4
Logarithmic Functions
Logarithmic Functions
Gist of Logarithmic Functions
5
Vertical and Horizontal Translations
Vertical and Horizontal Translations Activity
Gist of Vertical and Horizontal Translations
6
Reflections and Vertical Stretches
Reflections
Vertical Stretches
Gist of Reflections and Vertical Stretches
7
Composition of Functions and Inverses of Functions
Composition
Inverse of a Function
Gist of Composition and Inverses of Functions
8
Combinations of Functions
Combinations of Functions
Gist of Combinations of Functions
9
Power Functions and Polynomials
Power Functions
Polynomials
Rational Functions
Gist of Power Functions and Polynomials
10
Periodic Functions
Periodic Functions
Transformations
Gist of Periodic Functions
Reference
Index
Authored in PreTeXt
Precalculus: An Active Reading Approach
Elementary Functions
Jack Green
Department of Mathematics
Mt. Hood Community College
jack.green@mhcc.edu
Nick Chura
Department of Mathematics
Mt. Hood Community College
nickolas.chura@mhcc.edu
November 12, 2018
Colophon
Acknowledgements
To All
To the Student
To the Instructor