Activity Overview
In this activity, students create graphs and tables of values for functions. They can use this graphical and numerical information to explore limits. Students can also evaluate limits directly.
Before the Activity
See the attached PDF file for detailed instructions for this activity
Print pages 1 - 14 from the attached PDF file for your class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Graphing a rational function:
Enter the function
Plot the graph and compute function values
Examine the behavior of a function graphically and numerically
Investigating limits:
Investigate each limit graphically and numerically
Compute a limit as it approaches a particular value by entering the function, variable, and value
Investigate limits when the results are infinite, or as a particular value approaches positive or negative infinity
After the Activity
Students will complete the practice exercise problems.
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary