1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Once those boys get that syrup in ‘em, they get all antsy in their pantsy The snozzberries taste like snozzberries! That little guy? I wouldn’t worry about that little guy. Your never going to win with those thin little bird lips! Am I jumpin’ around all nimbly bimbly from tree to tree?

2. FUNCTIONS $100 (Question) Is the graph a function? Give a reason for your answer. (white dots are open circles)

3. FUNCTIONS $100 (Answer) Yes, it is a function because it passes the Vertical Line Test.

4. FUNCTIONS $200 (Question) The table shows the population in Africa (in millions) over a twenty-six year period. The line of best fit is Y = 11.3x – 403.24 Find the population in 1982 to the nearest million and determine if it is interpolation or extrapolation. Year (after1900) Population (in millions) 60293 65330 70375 75427 80491 85566 86583

5. FUNCTIONS $200 (Answer) 523 million people Interpolation

6. FUNCTIONS $300 (Question) Let f(x) = x 3 + 2x. Calculate f(-4).

7. FUNCTIONS $300 (Answer) -72

8. FUNCTIONS $400 (Question) Find the range of f(x) = 2x 2 - 3x - 10

9. FUNCTIONS $400 (Answer) All real numbers greater than or equal to -11.125

10. FUNCTIONS $500 (Question) Find the domain and range of H(x) = |3x + 2| + 6

11. FUNCTIONS $500 (Answer) Domain: all real numbers Range: all real numbers > 6

12. QUADRATIC MODELS $100 (Question) How many points do you need to determine a quadratic function? Why?

13. QUADRATIC MODELS $100 (Answer) Three points, because if you only have two points, it is unclear if the parabola points up or down.

14. QUADRATIC MODELS $200 (Question) The following points are on a parabola. Find the quadratic model that fits the data. (0, -5), (2, 9), (4, 47), (6, 109)

15. QUADRATIC MODELS $200 (Answer) Y = 3x 2 + x - 5

16. QUADRATIC MODELS $300 (Question) Find both x-intercepts for the quadratic function: f(x) = -3x 2 + 42x – 50 Round to the nearest hundredth.

17. QUADRATIC MODELS 300 (Answer) 1.31 and 12.69

18. QUADRATIC MODELS $400 (Question) Determine if a quadratic or linear model represents the data better x-2012 y-27-1131

19. QUADRATIC MODELS $400 (Answer) Y = 7x – 7; r 2 = 0.7955 f(x) = -3x 2 + 7x – 1; r 2 = 1 Quadratic Model

20. QUADRATIC MODELS $500 Question Write a system of equations to represent a parabola which goes through the following points: (4, 9), (10, 16), (16, 38)

21. QUADRATIC MODELS $500 Answer 9 = 16a + 4b + c 16 = 100a + 10b + c 38 = 256a + 16b + c

22. STEP FUNCTIONS, ERRORS & CONTINUITY $100 Question Evaluate h(x) = ┌ 2x ┐ + 4 for h( -3 / 4 )

23. STEP FUNCTIONS, ERRORS & CONTINUITY $100 Answer 3

24. STEP FUNCTIONS, ERRORS & CONTINUITY $200 Question Al’s Able Airways has a frequent flier program in which passengers earn a free trip for every 15,000 miles traveled. Write a formula for the number of free trips (T) you get if you fly m miles.

25. STEP FUNCTIONS, ERRORS & CONTINUITY $200 Answer T = └ m/15000 ┘

26. STEP FUNCTIONS, ERRORS & CONTINUITY $300 Question Graph the following split domain function. f(x) = 3x + 2, x > 0 -x, x < 0

27. STEP FUNCTIONS, ERRORS & CONTINUITY $300 Answer

28. STEP FUNCTIONS, ERRORS & CONTINUITY $400 Question The table shows years (after 1900) and the percentage of women who were working that year. The line of best fit is w =.804y – 14.1 What is the error in the predicted value for 1975? Year (after 1900) 60657075808588 % of Women 34.836.742.646.051.154.555.9

29. STEP FUNCTIONS, ERRORS & CONTINUITY $400 Answer Actual – Predicted = Error -0.2%

30. STEP FUNCTIONS, ERRORS & CONTINUITY $500 Question Write the rules that define the split domain function graphed below.

31. STEP FUNCTIONS, ERRORS & CONTINUITY $500 Answer

32. HEIGHT & BEST FIT LINES $100 Question How high is a baseball following the model h(t) = -16 t 2 + 75 t + 3 after four seconds in the air?

33. HEIGHT & BEST FIT LINES $100 Answer 47 feet

34. HEIGHT & BEST FIT LINES $200 Question Find the line of best fit for the following points: (0, 0.33), (1, 0.6), (5, 1.68), (11, 3.3) Write all decimals given for your slope and y-intercept.

35. HEIGHT & BEST FIT LINES $200 Answer Y = 0.27x + 0.33

36. HEIGHT & BEST FIT LINES $300 Question Calculate the center of gravity for the following data (round to the nearest hundredth) Year (after 1900) 60657075808588 % of Women 34.836.742.646.051.154.555.9

37. HEIGHT & BEST FIT LINES $300 Answer (74.71, 45.94%)

38. HEIGHT & BEST FIT LINES $400 Question A bottle rocket is launched from the ground at an initial velocity of 150 ft/sec. Write a formula to represent height h(t) in feet after t seconds of flight.

39. HEIGHT & BEST FIT LINES $400 Answer h(t) = -16 t 2 + 150 t + 0

40. HEIGHT & BEST FIT LINES $500 Question Calculate the maximum height of a baseball modeled by the formula: h(t) = -16 t 2 + 75 t + 3 Round to the nearest hundredth of a foot.

41. HEIGHT & BEST FIT LINES $500 Answer 90.89 feet

42. CORRELATION & LINEAR FUNCTIONS $100 Question U.S. coal production (in tens of millions) from 1973 to 1982 is represented by P = 2.9y – 152.9 where y is years after 1900. What does it predict the production to be in the year 2000?

43. CORRELATION & LINEAR FUNCTIONS $100 Answer 137.1 ten millions OR 1,371,000,000

44. CORRELATION & LINEAR FUNCTIONS $200 Question A linear model y = -15x + 2.6 has r 2 = 0.4 Find the correlation coefficient to the nearest hundredth and explain if it is strong or weak, positive or negative. Sample: 0.33 Weak positive correlation

45. CORRELATION & LINEAR FUNCTIONS $200 Answer -0.63 Relatively strong negative correlation

46. CORRELATION & LINEAR FUNCTIONS $300 Question Write a slope-intercept equation of the line that contains the points (7, 8) and (11, 20).

47. CORRELATION & LINEAR FUNCTIONS $300 Answer y = 3x - 13

48. CORRELATION & LINEAR FUNCTIONS $400 Question Find the correlation coefficient for the line of best fit through the points (round to the nearest ten thousandth): (1, 4), (4, 15), (8, 3)

49. CORRELATION & LINEAR FUNCTIONS $400 Answer -0.1568

50. CORRELATION & LINEAR FUNCTIONS $500 Question Explain which correlation coefficient is the weakest and why. -0.120.830.30-0.94

51. CORRELATION & LINEAR FUNCTIONS $500 Answer -0.12 because it is the closest to 0. Zero represents no correlation at all. The closer you get to 1 or -1, the stronger the linear relation.

52. FINAL JEOPARDY Write the rules for the following split domain function. Cost C is a function of driving m miles. Hertz rent-a-car charges $20 to rent a compact car if you drive 100 miles or less. For each mile (or part of a mile) over 100, you get charged 5 cents.

53. FINAL JEOPARDY ANSWER OR