1. Final Jeopardy Question
Exp.
Equations
Log
Equations
INV
Equations
Graphs
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Final Jeopardy Question

2. Category 1
500 pts
No Calculator
Solve
Back

3. Category 1
400 pts
No Calculator
Solve
X=5/6
Back

4. Category 1
300 pts
No Calculator
Solve
e(x-3) = 35
X=ln(35) + 3
Back

5. X=log(2848)/(4log5) No Calculator Solve 5(4x) = 2848 Category 1
200 pts
No Calculator
Solve
5(4x) = 2848
X=log(2848)/(4log5)
Back

6. Category 1
100 pts
No Calculator
Solve
16(3x +1) = 64
X=1/6
Back

7. Find the exact solution
Category 2
500 pts
Find the exact solution
ln(3-x) - ln(2-x) = 1
X=(2e-3)/(e-1)
Back

8. Category 2
400 pts
Solve without calc.
log(8+x) = log(4-x)
X=1
Back

9. Category 2
300 pts
Solve
ln(1-3x) =5
X=(e5 - 1)/-3
Back

10. Category 2
200 pts
Solve
ln6 5x = 3000
X=600/(ln6)
Back

11. log(x + 6)-log(x)=log(x + 2)
Category 2
100 pts
Solve:
log(x + 6)-log(x)=log(x + 2)
X=2
Back

12. Is h(x) one-to-one? Verify algebraically.
Category 3
500 pts
Is h(x) one-to-one? Verify algebraically.
Back

13. Find the inverse of f(x), f(x) = 16(3x +1) +1
Category 3
400 pts
Find the inverse of f(x),
f(x) = 16(3x +1) +1
Back

14. Category 3
300 pts
Find the domain of
Back

15. Category 3
200 pts
Find g-1(x) if
g(x) = log(4-x)
Back

16. Find the inverse of h(x)
Category 3
100 pts
Find the inverse of h(x)
Back

17. Category 4
500 pts
No Calculator
Solve
5(3x +1) = 64(6-x)
Back

18. Category 4
400 pts
No Calculator
Solve
5(x) = 64(6-x)
Back

19. Y=(2^(x-1) - 4)/-3 Find the inverse of j(x) = log2(4 - 3x) + 1
Category 4
300 pts
Find the inverse of
j(x) = log2(4 - 3x) + 1
Y=(2^(x-1) - 4)/-3
Back

20. State the domain, range, any asymptotes, and the transformations of
Category 4
200 pts
State the domain, range, any asymptotes, and the transformations of
j(x) = log2(4 - 3x) compared to k(x) = log2(x)
ANSWER
Back

21. (1,1) and (2,2) Name two points on k(x) = log2(x) + 1 Category 4
100 pts
Name two points on
k(x) = log2(x) + 1
(1,1) and (2,2)
Back

22. g(x) = 4(x + 1) - 2 compared to f(x) = 4x
Category 5
500 pts
State the domain, range, two points, any asymptotes, and the transformations of
g(x) = 4(x + 1) - 2 compared to f(x) = 4x
ANSWER
Back

23. g-1(x) = log4(x+2) - 1 State the inverse function of
Category 5
400 pts
State the inverse function of
g(x) = 4(x + 1) - 2
g-1(x) = log4(x+2) - 1
Back

24. Category 5
300 pts
k(x) = bx, write the function t(x) that is reflected over the x-axis, horizontally shifted left five units and vertically shifted up two units.
Y=-b(x+5) + 2
Back

25. k(x) = bx, name two points on the graph.
Category 5
200 pts
k(x) = bx, name two points on the graph.
(0,1) and (1,b)
Back

26. k(x) = bx, how do you know that it is increasing or decreasing?
Category 5
100 pts
k(x) = bx, how do you know that it is increasing or decreasing?
If b>1, the graph increases
If 0<b<1, then decreases
Back

27. Review: pp. 363-65 # 1,4,65,67,69,71,72,74, 75, & if needed 43-61 odd
Final Jeopardy
Review:
pp # 1,4,65,67,69,71,72,74, 75, & if needed odd
Back

28. Category 1
100 pts
No Calculator
Solve
16(3x +1) = 64
Back

29. Category 1
200 pts
No Calculator
Solve
5(4x) = 2848
Back

30. Category 1
300 pts
No Calculator
Solve
e(x-3) = 35
Back

31. Category 1
400 pts
No Calculator
Solve
Back

32. Category 1
500 pts
No Calculator
Solve
Back

33. log(x + 6)-log(x)=log(x + 2)
Category 2
100 pts
Solve:
log(x + 6)-log(x)=log(x + 2)
Back

34. Category 2
200 pts
Solve
ln6 5x = 3000
Back

35. Category 2
300 pts
Solve
ln(1-3x) =5
Back

36. Category 2
400 pts
Solve without calc.
log(8+x) = log(4-x)
Back

37. Find the exact solution
Category 2
500 pts
Find the exact solution
ln(3-x) - ln(2-x) = 1
Back

38. Category 3
100 pts
If I invest $3000 dollars at 6.8% for 20 years with interest compounded monthly, how much money will I have?
Back

39. Category 3
200 pts
If I invest $3000 dollars for 35 years and end up with $60,000, what was my annual interest rate?
Back

40. Category 3
300 pts
If I invest $3000 dollars for 35 years and end up with $60,000, but received interest quarterly. What was my interest rate?
Back

41. Category 3
400 pts
The half life of carbon-14 is 5750 years. Ivory was found to have lost 35% of its carbon-14. How old was the ivory?
Back

42. Category 3
500 pts
In 1985, the average consumption of beef was 80lbs per person. In 1996 it was 67 lbs. If exponential, when will it be 50lbs?
Back

43. Category 4
100 pts
Name two points on
k(x) = log2(x) + 1
Back

44. State the domain, range, any asymptotes, and the transformations of
Category 4
200 pts
State the domain, range, any asymptotes, and the transformations of
j(x) = log2(4 - 3x) compared to k(x) = log2(x)
Back

45. Category 4
300 pts
Find the inverse of
j(x) = log2(4 - 3x) + 1
Back

46. Category 4
400 pts
Name two points on
j(x) = log2(4 - 3x) + 1
Back

47. Category 4
500 pts
If f(x) = log(x), f(a) = 3n, f(b) = n, then the ratio of a:b is _______.
Back

48. k(x) = bx, how do you know that it is increasing or decreasing?
Category 5
100 pts
k(x) = bx, how do you know that it is increasing or decreasing?
Back

49. k(x) = 7x, name two points on the graph.
Category 5
200 pts
k(x) = 7x, name two points on the graph.
Back

50. j(x) = 7x +4 - 8, how does compare to j(x) = 7x?
Category 5
300 pts
j(x) = 7x , how does compare to j(x) = 7x?
Back

51. Category 5
400 pts
Find the inverse of
j(x) = 7x +4 – 8.
Back

52. Verify j(x) is one to one algebraically.
Category 5
500 pts
Verify j(x) is one to one algebraically.
j(x) = 7x +4 – 8.
Back

53. Optional Review: pp. 337-340 # 1-6,21,33-41 odd, 67-71 odd, 83,
Final Jeopardy
Optional Review: pp
# 1-6,21,33-41 odd, odd, 83,
Back

54. Horizontal Asymptote y = -2 Shifts left one unit and down two units.
Category 5
500 pts
D: (-,) R: (-2, )
Horizontal Asymptote y = -2
Shifts left one unit and down two units.
Back

55. j(x) = log2(4 - 3x) + 1 j(x) = log2[-3(x-4/3)] +1
Category 4
400 pts
Back
j(x) = log2(4 - 3x) + 1
j(x) = log2[-3(x-4/3)] +1
(1,0) and (2,1) are on y=log2x
(-1,0) & (-2,1) due to the “-”
(-1/3,0) & (-2/3,1) due to the “3”
(1,0) & (2/3,1) due to the “4/3”
(1,1) & (2/3,2) due to the “1”

56. j(x) = log2(4 - 3x) + 1 j(x) = log2[-3(x-4/3)] +1
Category 4
200 pts
Back
j(x) = log2(4 - 3x) + 1
j(x) = log2[-3(x-4/3)] +1
the “-” reflects the graph over the y-axis, the “3” compresses the graph horizontally by a factor of 3, shifts right 4/3 and up one unit.

57. Exponential Equations
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58. Logarithmic Equations
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59. Inverses
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60. Equation
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61. graphs
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