1. Jeopardy - functions Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200
Linear Equations & Inequalities
Identifying Functions
Function
Characteristics
Linear
Functions
Non-Linear Functions
Q $100
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Q $300
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Final Jeopardy

2. $100 Question from Identifying Functions
Which of the following relations is a function?
I. {(0,0), (0,1), (0,2)}
II. {(0,0), (1,1), (2,4)}
III. {(0,0), (1,2), (2,2)}
IV. {(0,0), (1,2), (1,3)}

3. $100 Answer from Identifying Functions
II and III

4. $200 Question from Identifying Functions
A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the number of videos. Identify the independent and dependent variables. Then, write an equation, in function notation, for the situation.

5. $200 Answer from Identifying Functions
Independent: videos rented
Dependent: total cost
f(v) = 2.5v + 25

6. $300 Question from Identifying Functions
The temperature of air in a room is 55˚F.
The thermostat is adjusted so that the temperature
increases by 8˚F per hour. Write a function that
describes the temperature of the air over time.
Create a table of values to show the temperature
change over the first several hours.

7. $300 Answer from Identifying Functions
y = 8x + 55
Time
(Hours)
Temp
(˚F) 1 63 3 79 5 95 7
111 9
127 11
146

8. $400 Question from Identifying Functions
The line graph represents the price of a type of personal computer over a five-year period. Why the graph is misleading? What might someone believe because of the graph?

9. $400 Answer from Identifying Functions
The graph is misleading because the intervals on
the vertical axis are not equal.
Someone might believe that the price declined
quickly from 2002 to 2004, then more slowly.
In fact, the price declined $200 each year.

10. $500 Question from Identifying Functions
Graph -2x + 4y = 4 for the domain D: {-8, -4, 0, 4, 8}
$500 Question from Identifying Functions
Graph -2x + 4y = 4

11. $500 Answer from Identifying Functions

12. $100 Question from Function Characteristics
What is the domain of the function graphed at the right?

13. $100 Answer from Function Characteristics
0 < x ≤ 5

14. $200 - Function Characteristics
The relationship between the weight of an object on the Moon and on Earth is given by the function y = 6x where x is the weight of the object on the Moon and y is the weight of an object on Earth. Determine the domain and range of this function.
A. D: {x ≥ 0}; R: {y ≥ 6}
B. D: {x ≥ 0}; R: {y ≥ 0}
C. D: {x ≥ 6}; R: {y ≥ 0}
D. D: {x ≤ 0}; R: {y ≤ 6}

15. $200 - Function Characteristics
B. D: {x ≥ 0}; R: {y ≥ 0}

16. $300 - Function Characteristics
The scatterplot below shows the relationship between the volume of water sealed in a boiler and the temperature of the steam generated. Select the statements that are supported by this data.
As the volume of water is decreased, the temperature inside the boiler increases
Temperature and volume have a positive correlation
Temperature and volume have a negative correlation
As the volume of water is increased, the temperature inside the boiler decreases

17. $300 - Function Characteristics
I, III, and IV

18. $400 - Function Characteristics
What is the value of the function
when the input is 2?

19. $400 Answer from Function Characteristics

20. $500 -Function Characteristics
The table below shows the value of a term in a given position in a number sequence. If the sequence follows a pattern, which expression best represents the value of the nth term?
Position
Value of term 1 2 6 3 4 24 5 n ?

21. $500 - Function Characteristics

22. $100 - Linear Functions
The line segment on the graph below shows the altitude of a landing plane from the time its wheels are lowered to the time its wheels touch the ground. Which of the following best describes the slope of the line segment?
A. The plane descends 1 foot per 8 seconds
B. The plane descends about 8 feet per second
C. The plane descends 1 foot per 2 seconds
D. The plane descends about 2 feet per second.

23. $100 - Linear Functions
The plane descends about
8 feet per second

24. $200 - Linear Functions
The equation of a line is given by 6x + 3y = 6. What must happen to the slope and y-intercept if the equation of the line is transformed to 3y – 4x = -6? (Hint! Change to slope-intercept form to compare.)
The slope is unchanged and the y-intercept is divided by 3.
The slope is multiplied by - 2/3, and the y-intercept is unchanged.
The slope is unchanged and the y-intercept is shifted down 4 units.
The slope is multiplied by - 2/3, and the y-intercept is shifted down 4 units.

25. $200 Answer from Linear FunctionsD

26. $300 - Linear Functions
Write then graph a linear equation that includes the points (2, -1) and (-1, -4).

27. $300 - Linear Functions
y = x – 3

28. $400 - Linear Functions
Determine the input when the output of the linear function below is zero. x
f(x) -2 10 1 4

29. $400 - Linear Functions
f(3) = 0.

30. $500 - Linear Functions
To build the perfect scale model of the SR-71 Blackbird Jet, it is best to use the ratio of 3:4 to compare inches of the model to feet of the plane. Which equation shows this ratio, if p is the length of the plane in feet and m is inches of the model.
A. 12p = m
B. 12m = p

31. $500 - Linear Functions C

32. $100 - Linear Equations and Inequalities
Which ordered pair is not a solution to the linear inequality -3x + 2y > -6?
A. (0, -2)
B. (0, 2)
C. (2, 0)
D. (0, 0)

33. $100 Answer from Linear Equations and InequalitiesC

34. $200 - Linear Equations and Inequalities
Which inequality best corresponds to the graph?
A. x + y ≥ 3.5
B. x - y ≥ -3.5
C. x + y ≤ 3.5
D. x - y ≤ 3.5

35. $200 Answer - Linear Equations and Inequalities
B. x - y ≥ -3.5

36. $300 - Linear Equations and Inequalities
You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pull the plug, there are 10 gallons left. Assume that the number of gallons varies linearly with the time since the plug was pulled.
Find the y-intercept (gallon-intercept). What does this number represent in the real world?
Find the x-intercept (time- intercept). What does this number represent in the real world?

37. $300 - Linear Equations and Inequalities
The equation to represent this problem is
The y-intercept is (0,19). This represents how much water
started out in the tub.
The x-intercept is (126.66…, 0). This represents how many
seconds it takes to drain the entire tub.

38. $400 - Linear Equations and Inequalities
The velocity of an object fired directly upward is given by V = 80 – 32t, where t is in seconds. When will the velocity be between 32 and 64 feet per second?

39. $400 - Linear Equations and Inequalities

40. $500 - Linear Equations and Inequalities
Compare the graph and function below. Which has a greater maximum? How do you know?

41. $500 - Linear Equations and Inequalities
Has a vertex at (-2, 19) therefore has
a higher maximum.
The graph has a vertex of about (2.5, 3)
therefore has a lower maximum

42. $100 - Non-Linear Functions
Which of the following tables represents a quadratic function? A. B. C. D. x y 3 9 1 18 .5 54 x y 2 4 8 10 x y
-12 24 1 -2 8
-16 -4 x y 8 4 6 2 -2

43. $100 - Non-Linear FunctionsD. x y 8 4 6 2 -2

44. $200 - Non-Linear Functionsx
f(x) =
Which of these is a reasonable equation for the graph?
A. f(x) = 0.5x
B. f(x) = 0.5x2
C. f(x) = 2x2 + 2
D. f(x) = 2x + 5

45. $200 - Non-Linear Functions
B. f(x) = 0.5x2

46. $300 - Non-Linear Functions
Which of the following tables represents exponential data? A. B. C. D. x y -2 5 -1 4 3 1 2 x y 2
0.5 4
0.7
1.5 8 5 x y -2 8 -1 4 2 1 x y -2 12 -1 15 16 1

47. $300 - Non-Linear Functionsx y -2 8 -1 4 2 1

48. $400 -Non-Linear Functions
Listed below are several statements about the solutions of this equation:
x2 + 4x – 12 = 0.
Which of the following statements is not true?
A. The solutions to the equation are -6 or 2.
B. The y-intercept is the solution to the equation.
C. The graph of y = x2 + 4x – 12 has two x-intercepts.
D. The graph of y = x2 + 4x – 12 has one y-intercepts.

49. $400 – Non-Linear Functions
B. The y-intercept is the solution to the equation.

50. $500 - Non-Linear Functions
State how you know the difference between a linear, exponential or quadratic function when given a set of points.

51. $500 - Non-Linear Functions
Linear – constant change
Exponential – common ratio
Quadratic – common second difference

52. Final Jeopardy
What are the domain and range for the function f(x) = -x2 -1?

53. Final Jeopardy Answer
D: all real numbers
R: y ≤ -1