1. Begin Game

2. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500

3. Polynomials Main Board Answer $ 100 Find the Quotient and Remainder of

4. For this you must use long division to get: Main Board Question Polynomials$ 100

5. Polynomials Show that x+4 is a factor of Main Board Answer $ 200

6. We can use synthetic division Main Board Question Polynomials$ 200 -41 4 -7 -23 23 12 -4 0 28 -20 -12 1 0 -7 5 3 0 Since 0, is the remainder, we know x+4 is a factor.

7. Polynomials Find a polynomial of degree four, having integer coefficients with zeros 3i and 4, with 4 a double zero. Main Board Answer $ 300

8. Start with : Main Board Question Polynomials$ 300 Multiply out to get:

9. Polynomials Graph Main Board Answer $ 400

10. The graph should look something like this. Important things to mark are, intercepts, and end behavior. Main Board Question Function Basics$ 400

11. Polynomials List all zeros of Main Board Answer $ 500

12. This can be factored into: Main Board Question Polynomials$ 500 So the zeros are -1, 3, -i, and i

13. Rational Functions Main Board Answer $ 100 Find the x and y intercepts of

14. Main Board Question Rational Functions$ 100 The y-int is: The x-int’s are:

15. Rational Functions Main Board Answer $ 200 Find the vertical and horizontal asymptotes of

16. Main Board Question Rational Functions$ 200 This has a vertical asymptote at x = -4 Since the degree of the top is larger than the degree of the bottom, it does not have a horizontal asymptote.

17. Rational Functions Main Board Answer $ 300 Analyze the behavior of Near its vertical asymptotes at x=4, and x=-2

18. Main Board Question Rational Functions$ 300 The answer is: This says the function will approach positive infinity as x approaches 4 from the right, and -2 from the right. The function will approach negative infinity as x approaches 4 from the left, and -2 from the left.

19. Rational Functions Main Board Answer $ 400 Graph the following function

20. Main Board Question Rational Functions$ 400 The answer is:

21. Rational Functions Main Board Answer $ 500 Make a rational function with the following: crosses x-axis at -2, and 4 Has vertical asymptotes at x = -1 and x = 3 Has a horizontal asymptote at y = 2

22. Main Board Question Rational Functions$ 500 One possible answer is to start with: Then multiply everything out to get:

23. Exponential Functions Sketch a graph of the function: Main Board Answer $ 100

24. The answer is: Main Board Question $ 100Exponential Functions

25. Main Board Answer $ 200 Write the following in exponential form Exponential Functions

26. Main Board Question $ 200 The answer is: Exponential Functions

27. Main Board Answer $ 300 What is the domain and range of the function? Exponential Functions

28. Main Board Question $ 300 The domain is all real numbers. The range is (2, infinity) Exponential Functions

29. Main Board Answer $ 400 Find the function Exponential Function Whose graph is given

30. Main Board Question $ 400 The answer is: Exponential Functions

31. Main Board Answer $ 500 Find the inverse of: Exponential Functions

32. Main Board Question $ 500 The answer is: Exponential Functions

33. Sketch a graph of the function Main Board Answer $ 100Log Functions

34. The answer is: Main Board Question $ 100Log Functions

35. Write the following in logarithmic form Main Board Answer $ 200Log Functions

36. The answer is: Main Board Question $ 200Log Functions

37. What is the domain and range of Main Board Answer $ 300Log Functions

38. The domain is (-1,infinity) The range is all real numbers Main Board Question $ 300Log Functions

39. Main Board Answer $ 400 Find the function Whose graph is given Log Functions

40. The answer is: Main Board Question $ 400Log Functions

41. Main Board Answer $ 500 Find the inverse of Log Functions

42. The answer is: Main Board Question Log Functions$ 500

43. Anything Goes Expand the following using the laws of logarithms Main Board Answer $ 100

44. The answer is: Main Board Question Anything Goes$ 100

45. Anything Goes Combine the following using the laws of logarithms Main Board Answer $ 200

46. The answer is: Main Board Question Anything Goes$ 200

47. Anything Goes Express the following in the form a + bi Main Board Answer $ 300

48. The answer is: Main Board Question Anything Goes$ 300

49. Anything Goes If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years: 5 years 10 years 15 years Main Board Answer $ 400

50. The answer is: 5 yrs: $16,288.95 10 yrs: $26,532.98 15 yrs: $43,219.42 Main Board Question Anything Goes$ 400 (Disclaimer: For this problem a calculator was handy for doing computations. Since no calculator will be allowed on the exam, I will be sure to choose a problem with “better” numbers to work with.)

51. Anything Goes The following is an except of Joe’s work. Identify, and correct Joe’s mistakes to see the answer they should have gotten: Main Board Answer $ 500

52. Main Board Question Anything Goes$ 500 The subtraction was done incorrectly. It should have been -2 circled in red. Later on the subtraction was done incorrectly again, see the blue circle. The correct quotient should actually be 6x – 2