1. Graphing Rational Functions Day 3

3. Graph with 2 Vertical Asymptotes Step 1Factor:

4. Graph with 2 Vertical Asymptotes Step 2Find zeros: - set numerator = to 0

5. Graph with 2 Vertical Asymptotes Step 3Find vertical asymptotes: - set denominator equal to zero

6. Graph with 2 Vertical Asymptotes Step 4Find horizontal asymptotes: - The degree is the same on top and bottom - Divide the leading coefficients - Horizontal asymptote at y=2

7. Graph with 2 Vertical Asymptotes Step 3Draw the graph. Use a table to find ordered pairs on the graph. Then connect the points.

8. Graph with 2 Vertical Asymptotes Answer:

9. Graph with 2 Vertical Asymptotes Step 1Factor:

10. Graph with 2 Vertical Asymptotes Step 2Find zeros: - set numerator = to 0

11. Graph with 2 Vertical Asymptotes Step 3Find vertical asymptotes: - set denominator equal to zero

12. Graph with 2 Vertical Asymptotes Step 4Find horizontal asymptotes: - The degree on top is less than the bottom - Horizontal asymptote is y=0

13. Graph with 2 Vertical Asymptotes Step 3Draw the graph. Use a table to find ordered pairs on the graph. Then connect the points.

14. Graph with 2 Vertical Asymptotes Answer:

15. Graph with 2 Vertical Asymptotes Step 1Factor:

16. Graph with 2 Vertical Asymptotes Step 2Find zeros: - set numerator = to 0

17. Graph with 2 Vertical Asymptotes Step 3Find vertical asymptotes: - set denominator equal to zero

18. Graph with 2 Vertical Asymptotes Step 4Find horizontal asymptotes: - The degree on top is 1 more than the bottom - There will be a slant asymptote Slant Asymptote: y = x

19. Graph with 2 Vertical Asymptotes Step 3Draw the graph. Use a table to find ordered pairs on the graph. Then connect the points.

20. Graph with 2 Vertical Asymptotes Answer:

21. Find the equation of a graph with 2 Vertical Asymptotes Problem: The graph is of the form - find the equation of the graph: (1,6) (-2,-3)

22. Find the equation of a graph with 2 Vertical Asymptotes Step 1: Write a system of equations Step 2: Solve for a and b Simplify squares

23. Find the equation of a graph with 2 Vertical Asymptotes Multiply by denominators Distribute Substitute 6+6b for a Combine like terms

24. Find the equation of a graph with 2 Vertical Asymptotes Divide by 9 Substitute b = -2 into previous equation Combine like terms Plug a and b into equation