1. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome to Who Wants to be a Millionaire 50:50

2. © Mark E. Damon - All Rights Reserved Another Presentation © 2000 - All rights Reserved markedamon@hotmail.com

3. © Mark E. Damon - All Rights Reserved

4. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

5. © Mark E. Damon - All Rights Reserved A: y-value C: Output B: Range D: x-value 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 What is the domain?

6. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

7. © Mark E. Damon - All Rights Reserved A: Matters C: Is chaos B: Comes Naturally D: Doesn’t Matter 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 In the permutation formula order…

8. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

9. © Mark E. Damon - All Rights Reserved A: x > 0 C: x < 0 B: x ≥ 0 D: x ≠0 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 The domain for is …

10. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

11. © Mark E. Damon - All Rights Reserved A: Composite Functions C: Inverses B: Domain is restricted D: A Function 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 If g(f(x)) = f(g(x))) = x For all x in the domain of f(x) and the domain of g(x) then…

12. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

13. © Mark E. Damon - All Rights Reserved A: 24 C: 2 B: 0 D: 4 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 If g(x) = 3x - 12 + x then g(4) is…

14. © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $1,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

15. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

16. © Mark E. Damon - All Rights Reserved A: 10x + 1 C: 10x - 4 B: -10x - 4 D: -10x + 1 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 If g(x) = 7x - 2x + 5 and f(x)= 6 - 2x then f(g(x)) is…

17. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

18. © Mark E. Damon - All Rights Reserved A: 28 C: 122 B: 110 D: 238 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 F(x) = 2x 2 - 3. Find 4[f(4)] - 6[f(1)].

19. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

20. © Mark E. Damon - All Rights Reserved A: 3x - 7 C: B: D: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 The inverse of f(x) = 3x + 7 is…

21. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

22. © Mark E. Damon - All Rights Reserved A: Vertical Line Test C: Straight Line Test B: Horizontal Line Test D: Diagonal Line Test 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 This test tells us if a graph is a function…

23. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

24. © Mark E. Damon - All Rights Reserved A: 495 C: 479,001,600 B: 24 D: 11880 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 How many ways can a president, vice president, secretary and treasurer be chosen from a group of 12 people?

25. © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $32,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

26. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

27. © Mark E. Damon - All Rights Reserved A: 604,800 C: 120 B: 3,628,800 D: A whole lot. 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 If I want 10 students to line up, how many different ways can the 10 students be arranged in a line?

28. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

29. © Mark E. Damon - All Rights Reserved A: x < 4 C: x > 4 B: x ≥ 4 D: x ≤ 4 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 For what values will the domain of Be undefined?

30. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

31. © Mark E. Damon - All Rights Reserved A: INVf(x) = x - 1 C: INVf(x) = x + 1 B: INVf(x) = D: INVf(x) = 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 If f(x) = x 2 - 1 and x ≥ 0 then the INVf(x) is….

32. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

33. © Mark E. Damon - All Rights Reserved A: A function C: A parabola facing down B: Not a function D: It’s own inverse 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 If we flip the graph of (x-3) 2 + 4 over the line y = x, the inverse graph is…

34. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

35. © Mark E. Damon - All Rights Reserved A: y = 3x + 4 C: y = 5x + 4 B: y = 4x + 3 D: y = 4x + 5 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Find the closed equation for the following recursive equation: F(0) = 4 F(n + 1) = f(n) = 3

36. © Mark E. Damon - All Rights Reserved YOU WIN $1 MILLION DOLLARS!