# QUIZ

## QUIZ

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##### Presentation Transcript

1. QUIZ

2. QUIZ Extrema Inflection Pts. 1st Derivative Test 2nd Derivative Test

3. QUIZ Graph

4. Graph

5. 3.6 A Summary of Curve Sketching • x-intercepts and y-intercepts (P.1) • Symmetry (P.1) • Domain and Range (P.3) • Continuity (1.4) • Vertical Asymptotes (1.5) • Differentiability (2.1) • Relative Extrema (3.1) • Concavity (3.4) • Points of Inflection (3.4) • Horizontal Asymptotes (3.5)

6. 3.6 A Summary of Curve Sketching

7. 3.6 A Summary of Curve Sketching Domain Intercepts Asymptotes Derivatives Symmetry

8. 3.6 A Summary of Curve Sketching Guidelines

9. 3.6 A Summary of Curve Sketching Guidelines

10. 3.6 A Summary of Curve Sketching Guidelines

11. 3.6 A Summary of Curve Sketching Do on Whiteboard Guidelines

12. 3.6 A Summary of Curve Sketching Guidelines

13. 3.6 A Summary of Curve Sketching Guidelines

14. 3.6 A Summary of Curve Sketching Guidelines

15. Graph

16. Summary

17. Determined by CN’s, IP’s, & Vertical Asymptotes. 12 10 11 3 13 4 14 16 15 19 5 17 18 21 20 23 6 22 26 7 25 24 27 8 28 29 30 33 9 31 32 Use the table to finish the graph!

18. Table

19. 3.6 A Summary of Curve Sketching

20. 3.6 A Summary of Curve Sketching

21. 3.6 A Summary of Curve Sketching

22. 3.6 A Summary of Curve Sketching We need 5 groups. Use the procedure demonstrated today to sketch a graph of each function without the use of a calculator. You may use a calculator to check your results. Choose one of your problems and create a poster to present. (25 points) Do your 3 problems tonight; create posters tomorrow; presentations begin next week.

23. Domain Zeros y-int. Asymptotes

24. (-2pi,-pi) [-pi,-pi/6] (-pi/6,5pi/6) (3pi/2,2pi) [5pi/6,3pi/2] Critical #'s

25. (-2pi,-pi) [-pi,-pi/6] (-pi/6,5pi/6) (3pi/2,2pi) [5pi/6,3pi/2] Location of Inflection Pts.

26. F” F F’ Critical Numbers Inflection Points [-pi,-pi/6]

27. F” F F’ Critical Numbers Inflection Points (-pi/6,5pi/6) (-2pi,-pi)

28. F” F F’ Critical Numbers Inflection Points [5pi/6,3pi/2] [-pi,-pi/6]

29. F” F F’ Critical Numbers Inflection Points (3pi/2,2pi) (-pi/6,5pi/6)

30. F” F F’ Critical Numbers Inflection Points [5pi/6,3pi/2]

31. (-2pi,-pi) [-pi,-pi/6] (-pi/6,5pi/6) (3pi/2,2pi) [5pi/6,3pi/2]

32. (-2pi,-pi) [-pi,-pi/6] (-pi/6,5pi/6) (3pi/2,2pi) [5pi/6,3pi/2]

33. (-2pi,-pi) [-pi,-pi/6] (-pi/6,5pi/6) (3pi/2,2pi) [5pi/6,3pi/2]

34. Graph Table

35. Graph Information

36. Table Information