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1 Tests for Symmetry Families of Functions Parts of a Function Steps, Pieces & Rates Inverses and f(g(x)) Models of Variation Round 2 $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 Final Jeopardy $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500

2 $100 Does the function have x-axis symmetry? y 6 x 3

3 $100 No

4 $200 Does the function have y-axis symmetry? y 6 x 3

5 $200 No

6 $300 Does the function have y = x symmetry? y 6 x 3

7 $300 no

8 $400 Does the function have y = -x symmetry? y 6 x 3

9 $400 No

10 $500 Does the function have origin symmetry? y 6 x 3

11 $500 No

12 $100 The parent function of the equation below is? y 5 x 9

13 $100 The Square Root Function y x

14 $200 The function below has been transformed from the parent function by y x 2 9

15 $200 Moving down 9

16 $300 The function below has been transformed from the parent function by y x 7

17 $300 Right 7

18 $400 The function below has been transformed from the parent function by y x 2 1 3

19 $400 Flip over x-axis, left 1 and down 3

20 $500 The function below has been transformed from the parent function by y 1 x 4 6 2

21 $500 Flip over x and y-axis, made wider, right 4 and up 6

22 $100 What is the Domain and Range of 3 2 y x 3x 2

23 $100 Domain and Range are both All Reals

24 $200 What are the zeros of the function? 3 2 y x 3x 2

25 $200 (-.73, 0), (1, 0), (2.73, 0)

26 $300 Where are the maximum and minimum values of the function? 3 2 y x 3x 2

27 $300 (0, 2) and (2, -2)

28 $400 Where is the function increasing and decreasing? 3 2 y x 3x 2

29 $400 Increasing: Decreasing: (,0), 2, 0,2

30 $500 Is the function one to one? Why or why not? 3 2 y x 3x 2

31 $500 No, fails HLT.

32 $100 What is the equation for the graph shown below.

33 $100 y x

34 $200 Evaluate: 3 g( x) 7 x 4 6 for g 2

35 $200-29

36 $300 Evaluate for h(-1) hx ( ) x 2x 1, x 1 2 2, x 1

37 $300-1

38 $400 f( x) Graph: 5x 3, x 1 4x 2, x 1

39 $400

40 $500 Using the model below, find the average rate of change from f(2) to f(12). 4 2 f ( x).004 x.46x 431.6, 2 x 12

41 $

42 $100 Find the inverse of 1 f x x 2 3

43 $100 1 f x 2x 6

44 $200 Is the function one-to-one and has an inverse function? ht () t 2 3

45 $200 Yes, the function has an inverse.

46 $300 Given: 1 f x x 3 and g x 3x 1 3 Find, f g and g f

47 $300 f g x g f x 8 3 8

48 $400 Given: Find: 1 f x x 8 x 3 g x 3 g 1 1 f

49 $ x 3

50 $500 Find two functions, f and g such that f g x h( x) h( x) 3 x 2

51 $500 3 f x x g( x) x 2

52 $100 Assume that y is directly proportional to x. If x = 5 and y = 12, find a linear model that relates y and x.

53 $100 y 12 5 x

54 $200 Use k=2 to complete the table for the inverse variation model y k x 2 X y k x 2

55 $200 X y k x

56 $300 Determine whether the variation model is of the form y kx or y Then find k. X Y k x

57 $300 y 7 10 x

58 $400 Write a sentence using the variation terminology for: Volume of a sphere V 4 r 3 3

59 $400 The volume of a sphere varies directly as the cube of its radius.

60 $500 Find a mathematical model representing the statement and determine the constant of proportionality. y varies inversely as x. (y=3 when x=25)

61 $500 y 75, k 75 x

62 Postal Regulations Final Jeopardy Question

63 A rectangular package to be sent by the US Postal Service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Write the volume, V, of the package as function of x. What is the domain of the function. (must get both parts correct)

64 V 108x 2 4x 3