Education Technology

Is There a Limit to Which Side You Can Take?

Published on 06/09/2008

Activity Overview

In this activity, students' will investigate the given function, and state and explain the limit at a particular value. They also state and explain the limit at a particular value from a graph.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 13 - 18 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Enter the piecewise function
  • Examine the numerical behavior of the function at different values
  • Notice that the limit of the function tends towards a particular value
  • Investigate the limit of the function as it tends to values less than and above the particular value
  • Graph the function and investigate it as the limit of the function tends to above and below the particular value
  • Similarly examine other functions and their graphs
  • After the Activity

    Students' will collect data and analyze the results.

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary