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Piecewise Defined Functions: All in One

by Ravinder Kumar

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Piecewise Functions Book Description:

This book is designed to allow a student to visualize the graphs of functions, piecewise continuous or not, and to explore limits, continuity, and derivability. This book can be used to

  • Graph a function and determine a table of values of the function at a pre-assigned interval.
  • Obtain limit graphically and numerically.
  • Graph derivative function along with the graph of the function, and test the derivability of the function at a point.
  • Find the derivative algebraically.

This book is appropriate for a first course in calculus, and may be used for

  • AP Calculus
  • Calculus 1

Author: Ravinder Kumar Alcorn State University
E-mail: rkumar@lorman.alcorn.edu

Topics: Piecewise Function, Graph, Limit, Continuity, Derivative Suggested Use: Exploring the graph, continuity and derivability of functions (in particular piecewise functions), and finding derivative algebraically.

Number of Pages: 5

Animation: No

Grade Level: 12-13

Acknowledgements: The author expresses his sincere thanks to James White for suggesting how to define a piecewise function.

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