1. Rational Functions Characteristics

2. What do you know about the polynomial f(x) = x + 1?

3. What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

4. Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

5. What do you know about the polynomial g(x) = x 2 + 3x – 10?

6. What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

7. Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

8. Now let’s consider the case of the rational function r(x) = where f and g are the polynomial functions as shown before.

9. What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

10. Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

11. What do you know about the rational equation r(x) = f(x)/g(x) if f(x) = 5 and g(x) = x 2 – 6x +8?

12. What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

13. Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?

14. What do you know about the rational equation r(x) = 2x 2 + 7x – 4 ? x 3 – 1

15. What is the Domain? How do you determine the Domain? What is the Range? How do you determine the Range?

16. Where are the Roots or Zeros found? What are some different ways you know to find them? What is the End Behavior? How do you know?