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Welcome to the Famous Hoosier Jeopardy Game!.

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Presentation on theme: "Welcome to the Famous Hoosier Jeopardy Game!."— Presentation transcript:

1 Welcome to the Famous Hoosier Jeopardy Game!

2 What’s My Line?

3 Max or Min

4 Function Fun

5 Growth or Decay

6 Translate This

7 Forward or Inverse

8 What’s My Line Max or Min Function Fun Grow or Decay Translate This… Forward or Inverse 10 10 10 10 10 10 20 20 20 20 20 20 30 30 30 30 30 30 40 40 40 40 40 40 50 50 50 50 50 50

9 What is the slope of the line?
An equation of a line is 6x-2=y. What is the slope of the line? Q 1 - 1

10 m = 6 A 1 - 1

11 The slope between the points (4, 2) and (-1, 3) is

12 m = -1/5

13 The equation of the line represented by the table is
x y 4 2 5 3 5.5 6.5

14 y = 1/2x + 4

15 find the x and y intercepts.
For the equation 2x - 6y = 18 find the x and y intercepts.

16 X int = (9, 0) Y int = (0, -3)

17 Write an equation for the cost of the tree in terms of its height,
A 9- foot Christmas tree costs $70, and a 6-foot Christmas tree costs $50. Write an equation for the cost of the tree in terms of its height, if the cost of trees is linear

18 y = 20/3x + 10

19 Describe the concavity
and relative width of f(x) = 2x2 - 3x + 7

20 parabola opens upward and is more narrow than y = x2

21 Give the equation of a Parabola that has x-intercepts of (-4, 0) and (7, 0)

22 y = (x + 4)(x - 7) = x2 - 3x -28

23 What is the vertex of f(x) = 3(x - 2)2 + 5?

24 vertex = (2, 5)

25 Find the x-intercepts of
f(x) = 2x2 + 5x - 3

26 (1/2, 0) and (-3, 0)

27 What is the maximum height
A holiday fruitcake is tossed out of a window. Its distance from the ground is given by h(t) = -16t2 + 8t + 30. What is the maximum height the fruitcake reaches?

28 31 feet

29 Does the graph shown represent a function?

30 No, it fails the vertical line test.

31 Evaluate g(-2) if g(x) = 1/2x + 3

32 g(-2) = 2

33 Evaluate f(2) given the graph

34 f(2) = 4

35 Evaluate h(1) given the function

36 h(1) = 2

37 Sketch the graph of the function h(x)

38

39 Is the graph of y = (1/2)x an increasing or decreasing function? Describe how you know.

40 graph is decreasing since base (1/2) is < 1.

41 t days after an earthquake is given by P(t) = 5(2)t/30,
If the number of rats t days after an earthquake is given by P(t) = 5(2)t/30, how many rats were present immediately after the earthquake?

42 Rats = 5

43 t days after an earthquake
If the number of rats t days after an earthquake is given by P(t) = 5(2)t/30, find P(90) and interpret the result.

44 rats = 40

45 Solve for x: 35 = 20e1.3x

46 x = 0.43

47 Daily Double!!

48 The population will triple every 40 days. Write an
There are 4 rats in a lab. The population will triple every 40 days. Write an equation that gives the number of rats after t days.

49 P(t) = 4(3)t/40

50 What is the equation of the basic graph shown?

51

52 Describe the graph of f(x) = (x + 3)2

53 Concave up parabola with minimum vertex point at (-3, 0)

54 Write the equation of the graph shown.

55

56 Describe the graph of the function f(x).

57 rational function that is
rational function that is reflected, stretched and shifted 1 unit to the left

58 Sketch the graph of the function f(x)

59

60 Write the inverse of the function shown in the table

61 swap ordered pairs to (7, 1), (-5, 0), (3, 2), (0, 3)

62 Will the inverse of the function shown in the graph be a function?

63 No, it fails the horizontal line test.

64 Given the function shown,
find F-1(3)

65 F-1(3) = 2

66 Find the inverse of f(x) = 2x3 + 5

67

68 Sketch the inverse of the graph

69 inverse is a line with y-int of (0, 1.5) and x-int of (-3, 0)

70 Double Jeopardy!!

71

72 Higher Orders

73 Be Rational

74 Old Logs

75 World of Exponents

76 Domain & Range

77 What’s This For?

78 Higher Orders Be Rational Old Logs World of Exponents Domain & Range What’s This For? 20 20 20 20 20 20 40 40 40 40 40 40 60 60 60 60 60 60 80 80 80 80 80 80 100 100 100 100 100 100

79 Find the degree of P(x) = (x + 1)4(2x - 1)3

80 the degree is 7

81 Describe the end behavior of
Describe the end behavior of P(x) = (x + 1)4(2x - 1)3

82 left arm down and right arm up

83 Find the x-intercepts and
describe the behavior of the graph at each one. P(x) = (x-2)(x + 3)3(x - 1)2

84 crosses at x=2, wiggles at x=-3, bounces at x=1

85 Sketch the graph of P(x) = -(x + 4)2(x - 1)3

86

87 Write the equation of the graph shown

88 y = -x2(x+2)(x-4)

89 Where does the graph of f(x) have vertical asymptote(s)?

90 x = 1 x = -3

91 Daily Double!!

92 Where does the graph of f(x) have a horizontal asymptote?

93 y = 0

94 Identify the asymptotes
Identify the asymptotes of the graph shown.

95 VA is at x = -1 HA is at y = 3

96 Sketch the graph of the function

97

98 Suppose the rat population (in 100s per acre) is given by
P(x). Find the HA and interpret its meaning in the context of the problem.

99 y = 5, there is a max of 5(hundred per acre) rats

100 Find the log(237)

101 2.3747

102 Daily Double!!

103 Evaluate: log7(49)

104 2

105 Rewrite in logarithmic form
3y = h

106 log3 h = y

107 Solve for x: log3(x - 5) = 4

108 x = 86

109 Solve for x: 2 ln(5x + 2) - 12 = 8

110 x =

111 Rewrite without negative exponents: 3x-4

112 3/x4

113 Rewrite in radical form:
Rewrite in radical form: X3/5

114

115 Simplify:

116

117 Simplify:

118

119 Simplify:

120

121 Identify the domain and
range for the function f(x) = 2x

122 D: all real numbers R: f(x)>0

123 and range for the function
Identify the domain and range for the function f(x) = 1/x

124 all real numbers except zero for both

125 Identify the domain and
range for the function f(x) = log2(x)

126 D is >0 R is all real numbers

127 Identify the range for the function f(x) = -2(x - 5)2 + 1

128 (-, 1]

129 Given [-2, 5] as the domain for
f(x) = x2 – 9 determine the range

130 R = [-9, 16]

131 On the TI-83, "Zoom 6"

132 shows the standard graphing window

133 On the TI-83, "2nd Trace, Option 5, Enter, Enter, Enter"

134 finds the intersection
of two graphs

135 On the TI-83, "2nd Window" and "2nd Graph"

136 table and to view the table
used to set up a table and to view the table

137 xv = -b/2a

138 finds the x-coordinate of the vertex of a parabola

139 y = k/xn

140 inverse variation problem
format for an inverse variation problem

141 Final Jeopardy

142 Types of Functions

143 Give an example of each of the following function types:
Give an example of each of the following function types: Linear Rational Quadratic Logarithmic Exponential Polynomial


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