1. The Great Calculus Journey by Jesse Governale, Tom Sawtelle, and Jacob Donald

2. JEOPARDY BOARD Limits Graphing Limits (algebraic) DerivativesChapter 1 Calc Potpourri $100 $200 $300 $400 $500 FINAL JEOPARDY

3. Sketch the graph given the criteria: Limits- $100 Question Click to see answer

4. Note: Your answer is correct based on the placement of the given criteria, not the shape. You could use straight lines instead of the parabolic curves shown in the example solution above. Limits - $100 Answer - $100 Answer Click to return to Jeopardy Board

5. Show there is a zero of the function y=3x^2+2x-1 using the Intermediate Value Theorem Limits - $200 Question - $200 Question Click to see answer

6. 1.Function is a Polynomial, therefore it is continuous everywhere 1.F(0)= -1 F(1)=4 1.Therefore, by IVT there exists a value C such that F(C)=0 Limits - $200 Answer - $200 Answer Click to return to Jeopardy Board

7. Using the precise Definition of a limit, prove =3 Limits- $300 Question- $300 Question Click to see answer

8. Restriction: 3<x<5 0<d<3( Ɛ -3) Limits - $300 Answer - $300 Answer Click to return to Jeopardy Board

9. On what interval is the given equation continuous? Limits - $400 Question - $400 Question Click to see answer

10. Polynomial, therefore it is continuous from (-∞,∞) Limits - $400 Answer - $400 Answer Click to return to Jeopardy Board

11. Find the slope of the tangent line to the curve described below. Hint: use Limits - $500 Question - $500 Question Click to see answer

12. = 6 Limits - $500 Answer - $500 Answer Click to return to Jeopardy Board

13. The table shows (lifetime) peptic ulcer rates (per 100 population) for various family incomes as reported by the National Health Interview Survey. Make a scatter plot of these data and decide whether a linear model is appropriate. Graphing - $100 Question - $100 Question Click to see answer

14. A linear model is appropriate. Graphing - $100 Answer - $100 Answer Click to return to Jeopardy Board

15. Determine lim 1 / (x^3 - 1) x-->1 from the left and lim 1 / (x^3 - 1) x-->1 from the right from a graph of f Graphing - $200 Question - $200 Question Click to see answer

16. lim 1 / (x^3 - 1) = - infinity x-->1 from the left lim 1 / (x^3 - 1) = infinity x-->1 from the left Graphing - $200 Answer - $200 Answer Click to return to Jeopardy Board

17. Explain why the function is discontinuous at the given number a. Sketch the graph of the function. f(x) = ln I x - 2 I a = 2 Graphing - $300 Question - $300 Question Click to see answer

18. The function is discontinuous at a because ln(0) is undefined. Graphing - $300 Answer - $300 Answer Click to return to Jeopardy Board

19. Use a graph of f(x)= (1 - 2/x)^x to estimate the value of lim x → infinity f(x) to two decimal places Graphing - $400 Question - $400 Question Click to see answer

20. y =.10 Graphing - $400 Answer - $400 Answer Click to return to Jeopardy Board

21. Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent lines on the same screen. y = 3x^2 - x^3 (1,2) Graphing - $500 Question - $500 Question Click to see answer

22. (y - 2) = 3(x - 1) Graphing - $500 Answer - $500 Answer Click to return to Jeopardy Board

23. Solve the limit using Algebra Hint: Common Denominator Limits (alg) - $100 Question - $100 Question Click to see answer

24. Limits (alg) - $100 Answer - $100 Answer Click to return to Jeopardy Board

25. Solve the Limit using Algebra Limits (alg) - $200 Question - $200 Question Click to see answer

26. Limits (alg) - $200 Answer - $200 Answer Click to return to Jeopardy Board

27. Solve the Limit using Algebra Hint: Conjugate Limits (alg) - $300 Question - $300 Question Click to see answer

28. Limits (alg) - $300 Answer - $300 Answer Click to return to Jeopardy Board

29. Solve the Limit using Algebra Limits (alg) - $400 Question - $400 Question Click to see answer

30. Limits (alg) - $400 Answer - $400 Answer Click to return to Jeopardy Board

31. Solve the Limit using Algebra Limits (alg) - $500 Question - $500 Question Click to see answer

32. Limits (alg)- $500 Answer (alg)- $500 Answer Click to return to Jeopardy Board

33. What is the derivative of x 2 +7x-18 Derivatives - $100 Question- $100 Question Click to see answer

34. 2x+7 Derivatives- $100 Answer- $100 Answer Click to return to Jeopardy Board

35. What is the derivative of 4x 2 +17x+45 Derivatives - $200 Question Click to see answer

36. 8x+17 Derivatives - $200 Answer Click to return to Jeopardy Board

37. solve for f(x)’’ 5x 3 +8x 2 -12x+42 Derivatives- $300 Question- $300 Question Click to see answer

38. 30x+16 Derivatives- $300 Answer Click to return to Jeopardy Board

39. Solve for f(x)’’ f(x)=4x 4 -14x 3 -12x 2 +13x+19 Derivatives- $400 Question Click to see answer

40. 48x 2 -84x-24 Derivatives- $400 Answer Click to return to Jeopardy Board

41. Solve for f(x)’’’ f(x)=4x 5 -6x 4 -3x 3 +4x 2 -7x+34 Derivatives- $500 Question- $500 Question Click to see answer

42. 240x 2 -144x-18 Derivatives- $500 Answer Click to return to Jeopardy Board

43. Where does does the graph move when y=f(x-6)? Chapter 1 - $100 Question - $100 Question Click to see answer

44. 6 units to the right Chapter 1 - $100 Answer - $100 Answer Click to return to Jeopardy Board

45. Find sec(tan -1 12/5) Chapter 1 - $200 Question - $200 Question Click to see answer

46. 13/5 Topic 5 - $200 Answer Click to return to Jeopardy Board

47. What is log.0001 Chapter 1- $300 Question- $300 Question Click to see answer

48. -4 Chapter 1- $300 Answer- $300 Answer Click to return to Jeopardy Board

49. Find the line segment that connect points (-3,4) with (1,-2). Chapter 1- $400 Question- $400 Question Click to see answer

50. y=-3/2x+.5 Chapter 1- $400 Answer- $400 Answer Click to return to Jeopardy Board

51. What is f(g(h(4)))? Chapter 1- $500 Question- $500 Question Click to see answer 1234567 f(x)2315264 g(x)6136454 h(x)3543778

52. f(g(h(4))) = 1 Chapter 1- $500 Answer Click to return to Jeopardy Board

53. Find the derivative of (e)^(e^x) Calc Potpourri - $100 Question - $100 Question Click to see answer

54. f’ = (e)^(e^x) * e^x Calc Potpourri - $100 Answer - $100 Answer Click to return to Jeopardy Board

55. Name the four ways that you can represent a function. Calc Potpourri - $200 Question - $200 Question Click to see answer

56. Verbally, numerically, visually, and algebraicly Calc Potpourri - $200 Answer - $200 Answer Click to return to Jeopardy Board

57. Which one is f(x) and f’(x)? Calc Potpourri - $300 Question - $300 Question Click to see answer

58. Red = f’(x) Green = f(x) Calc Potpourri - $300 Answer - $300 Answer Click to return to Jeopardy Board

59. Use a table of values to estimate the value of the limit. lim [sqrt(x+4) - 2] / x x-->0 Calc Potpourri - $400 Question - $400 Question Click to see answer

60. lim = 0.250 x-->0 Calc Potpourri - $400 Answer - $400 Answer Click to return to Jeopardy Board

61. Find the derivative of y = cos(sqrt(sin(tan(pi*x))) Calc Potpourri - $500 Question - $500 Question Click to see answer

62. f’ = -sin(sqrt(sin(tan(pi*x))) * (½)(sin(tan(pi*x)))^(-½) * cos(tan(pi*x)) * sec^2(x) * pi Calc Potpourri - $500 Answer - $500 Answer Click to return to Jeopardy Board

63. Topic: Type topic here FINAL Click to see Click to see question

64. Final Jeopardy Question Click to see answer Solve for y’

65. Click to return to Jeopardy Board Final Jeopardy Answer See yellow sticky inside envelope for alternate answer.