Education Technology

# Activities

• ##### Subject Area

• Math: Calculus: Limits of Functions

9-12

40 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• ##### Other Materials
This is Activity 2 from the EXPLORATIONS Book:
Calculus Activities.

## Is There a Limit to Which Side You Can Take?

#### 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.

• 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