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QUIZ PowerPoint Presentation

QUIZ

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QUIZ

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  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