1. Warm UpOct. 10

2. Direct & Inverse Variation October 10, 2014

3. Direct Variation

4. Example set 1

5. Example set 2

7. You Try!

8. Inverse Variation What DOES NOT work in the denominator?

9. Example 1

10. Write the inverse variation…

11. Example Suppose y = - 8 varies inversely with x = -32 Write the equation for inverse variationSuppose y = - 8 varies inversely with x = -32 Write the equation for inverse variation What is x when y = - 4?What is x when y = - 4?

12. Partner Race-Direct Variation The first set of partners to finish the puzzles on FRONT ONLY gets a prize!The first set of partners to finish the puzzles on FRONT ONLY gets a prize! (Why did Grok jump…)

13. Partner Race-Inverse Variation The first set of partners to finish the puzzles on BACK ONLY gets a prize!The first set of partners to finish the puzzles on BACK ONLY gets a prize! (Miss Muffet) Inverse VariationInverse Variation Both Direct & Inverse ProblemsBoth Direct & Inverse Problems

14. Homework WorksheetWorksheet

15. Warm Up 2) Suppose y = - 4 varies inversely with x = -108 Write the equation for inverse variation. What is x when y = 16?

16. Graphing Rational Functions October 14, 2014

17. Direct vs. Inverse

18. Graphs

19. Graph: Example 1 What is the DOMAIN & RANGE for this graph? Do you remember how to write it in interval notation? DOMAIN: RANGE:

20. Graph: Example 2 XY Domain: Range:

21. Graph: Example 3 XY Domain: Range:

22. General Form of Rational

23. Some tips on graphing…

24. Transformations

25. Graph: Example 1

26. Summary Vertical Asymptotes are of the form x = # and can be found in the denominator (bottom of the fraction)Vertical Asymptotes are of the form x = # and can be found in the denominator (bottom of the fraction) Horizontal Asymptotes are of the form y = # and can be found added or subtracted next to the function.Horizontal Asymptotes are of the form y = # and can be found added or subtracted next to the function.

27. Graph: Example 2

28. What does “a” do to the graph?

29. Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

30. Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

31. Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

32. Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

33. Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

34. Partner Race! Complete the standardized test prep questions correctly FIRST and you will win a prize!Complete the standardized test prep questions correctly FIRST and you will win a prize!

35. ANSWERS A I D Equation: s = (720/t) - pEquation: s = (720/t) - p Answer = 144 minutes Answer = 144 minutes

36. A Function Fable-TICKET OUT Complete the three graphs for the “A Function Fable”Complete the three graphs for the “A Function Fable”

37. Homework Worksheet!Worksheet!