This document discusses rational functions and limits. It defines a limit as what a y-value does as x approaches a certain value by looking at graphs. It evaluates limits from the left and right of specific values for a function f and discusses finding limits at infinity, which describe a function's end behavior. Students are assigned a worksheet with problems, including some not yet covered, and directed to an online resource for additional help and practice with limits.

1. Rational Functions
With Limits

2. What is a limit?
 As x approaches a value, a limit will tell
you what the y-value does.
 You will be looking at limits graphically.

3. From the left and from the right…

4.  Evaluate the following:

5.  Evaluate the following:
f(-3)=

6.  Evaluate the following:
f(3)=

7.  Evaluate the following:
 f(1)=

8. End Behavior = Limits at Infinity

9. State the limits at infinity

10. State the limits at infinity

11. Homework
 Worksheet
◦ I know there are problems that I have selected
that we have not talked about. (#8, #9)
◦ I want you to think critically and we will talk
about them tomorrow!
For extra help - go to www.khanacademy.org
and search “limits”. Click on “Introduction to
Limits” and “Limits Examples”