1. Graph Rational Functions
Chapter 8-2, Dr. Guram
Algebra II

2. Focus Questions
How will we graph rational functions with higher degree polynomials?
How do we utilize rational functions in the real world?

3. Curriculum standards
TN (Associated Tennessee Learning Expectations) Also: , , ,
Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent.
Sources:
Spring Board Algebra 2 Textbook

4. Real World Examples Utilizing Rational Functions
What are examples of ways people utilize rational functions in real world situations?
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5. Real World Example of Rational Functions
Finding average monthly costs
Solve problems about altitude

6. Asymptote: A line that a graph approaches more and more closely.
Academic Language
Rational function: A function of the form f(x) = p(x) / q(x), where p(x) and q(x) are polynomials and q(x) not equal 0.
Asymptote: A line that a graph approaches more and more closely.

7. Academic Language
End behavior: The behavior of the graph of a function as x approaches positive infinity, or negative infinity.

8. Parent Function for Simple Rational Functions

9. Example 1

10. Example 1

11. Graphing Translations of Simple Rational Functions

12. Example 2

13. Example 2

14. Guided Practice

15. Other Rational Functions

16. Example 3

17. Example 3

18. Guided Practice

19. Graphing Calculator

20. Graph of Rational Functions

21. Example 4

22. Example 4

23. Example 5

24. Example 5

25. Example 6

26. Example 6

27. Guided Practice

28. Review
How will we graph rational functions with higher degree polynomials?
How do we utilize rational functions in the real world?

29. Explain the mathematical terms:
Review of terms
Explain the mathematical terms:
Rational Function
Asymptote
End behavior

30. Class and HW Problems
Worksheet