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IF.1 [1816682]StudentClassDate

1. Which statement is true about the quadratic function

A. The range is less than or equal to 4.

B. The range is less than or equal to 8.

C. The domain is greater than or equal to 0.

D. The domain is greater than or equal to –1.

2. In which equation is y a function of x?

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3. Which mapping is a function?

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4. What is the range for a function of distance traveled, d, for time, t? (d = rt)

5. Which equation does not represent a function?

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6. What is the range of the function in the graph below?

D. all real numbers

7. Based on the piecewise graph, which is the domain?

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8. In which choice is ynot a function of x?

x y –3 3–2 6–1 93 12 5 15

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x y–5 –9–2 –30 14 96 13

C. x = y2 – 2

D. y = 2x2 – 5x + 3

9. Which of the following describes the range of f(x) = 3(2)x?

A. all real numbers

B. all positive real numbers

C. all real numbers greater than or equal to 2

D. all real numbers greater than or equal to 3

10. Which statement describes the domain and range of the exponential function f(x) = –4x?

A. The domain and range are both the set of all real

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numbers.

B. The domain is the set of all real numbers and the range is the set of all negative real numbers.

C. The domain is the set of all real numbers and the range is the set of all real numbers less than or equal to –4.

D. The domain is the set of all real numbers greater than 0 and the range is the set of all real numbers less than 0.

11. What is the range of the function over the domain

12. Which graph represents a function?

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13. The table shows values of x and y.

Which statement best describes the relationship between the x-values and y-values in the table?

A. The relationship is a function because all of the y-values are integers.

B. The relationship is a function because no two x-values are the

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C. The relationship is not a function because all of the x-values are opposites.

D. The relationship is not a function because two of the y-values are the same.

14. In which table is y a function of x?

A. x y–2 –2–1 –10 01 12 2

B. x y–2 –2–1 –1–2 0–1 1–2 2

C. x y2 –2–1 –10 01 12 2

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D. x y1 –90 80 –7–1 62 –5

15. The following graph shows all the possible test scores when there are only 10 equally weighed problems and no partial credit is given.

Which of the following represents the domain, D, and the range, R, of this graph?

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C. D = all real numbers; R = all real numbers

16. The height of an object dropped from a tower 64 feet above the ground (after t seconds) can be modeled with the function . Which description is true about the possible domain values of this real world function?

A. The domain is 2 and –2.

B. The domain is between 0 and 2.

C. The domain is between –2 and 0.

D. The domain is the set of all real numbers.

17. What is the range of

D. all real numbers

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18. Which of these relations represents a function?

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19. In which graph is ynot a function of x?

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20. What is the domain of the quadratic function

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21. The graph below models the price of items after 120% markup at a small shop.

Based only on the given graph, what is the function’s domain?

A. numbers between and including 0 and 30

B. numbers between and including 0 and 36

C. numbers between and including 5 and 30

D. numbers between and including 6 and 36

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22. In which equation is ynot a function of x?

A. x = 2y – 4

B. x = y2 + 1

C. x2 = y – 5

D. x2 = 2y + 6

23. What is the range of the quadratic function

D. all real numbers

24. Which number is a value in the range of the equation for the domain of

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25.The function t (h) gives the time, t, in seconds, that it takes for an object to fall from a given height, h, in feet. What is the range of this function?

26. What is the domain of

A. all whole numbers

B. all real numbers

C. all integers

D. 3 and 5

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27. Which set of ordered pairs represents a function?

A. {(3, 2), (4, 4), (6, 3), (4, 5)}

B. {(4, –3), (4, –1), (4, 3), (4, 6)}

C. {(–4, 4), (–2, 4), (1, 4), (5, 4)}

D. {(–3, –3), (–2, –4), (–2, –1), (–1, –5)}

28. If Paul is driving at a constant rate of 65 miles per hour, the distance he travels (d) is a function of the time he drives (t). If Paul can drive at the most for 4 hours which of the following describes the domain and range of this function?

A. D: all real numbersR: all real numbers

29. What is the range of the function for the domain

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30. The following graph shows the functional relationship between the distance a car travels and the amount of gas it consumes. The car is able to travel 22 miles per gallon of gas.

If the maximum amount the gas tank can hold is 19 gallons, what is the range of this function with a full tank of gas?

A. The range is less than 19.

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B. The range is less than 418.

C. The range is between 0 and 19 inclusive.

D. The range is between 0 and 418 inclusive.

31. A line segment is drawn in the coordinate plane. What is its domain and range?

A. and

B. and

C. and

D. and

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32. Which inequality represents the domain of so that it is a function?

x y–3 4–1 71 10

–3 13

x y–2 30 42 34 6

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–4 –8–1 –10–6 –12–4 –14

x y2 –52 –32 22 6

34. For the function what is the range of for the domain

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35. Which set includes only elements found in the range of the quadratic function

A. {8, 9, 10, ...}

B. {..., 8, 10, 12, 16}

C. {..., 0, 2, 4, 6, 8}

D. {..., 6, 7, 8, 9, 10, ...}

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38. The graph below shows the temperature of water as a function of time as it is heated to its boiling point (212°F).

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What is the range of this function?

A. all real numbers less than or equal to 212

B. all real numbers greater than or equal to 50

C. all real numbers between and including 0 and 8

D. all real numbers between and including 50 and 212

39. In which choice is ynot a function of x?

A. y = 8x + 6

B. y =

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C. y = 6

D. x = –5

40. What is the domain of the graph shown below?

A. {0, 1, 2, 3, 4...}

B. {2, 2.5, 3, 3.5, 4...}

C. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

D. {2, 2.5, 3, 3.5, 4, 4.5, 5.5, 6, 6.5, 7}

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A. x y–1 52 60 3

–1 –2

B. x y

0 31 5–1 21 5

C. x y3 –1–2 43 02 4

D. x y2 62 –11 20 0

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42. A quadratic function is shown on the graph below.

Which statement best describes its domain and range?

A. The domain is all real numbers and the range is all real numbers.

B. The domain is all real numbers and the range is all real numbers greater than or equal to 2.

C. The domain is all real numbers greater than or equal to 3 and the range is all real numbers.

D. The domain is all real numbers greater than or equal to 3 and the range is all real numbers greater than or equal to 2.

43. The function models the area of a rectangle with a width of w and a

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length of w + 8. What is an appropriate domain for this function?

D. all real numbers

44. The number of chirps that a cricket produces varies directly with the temperature. The equation approximates that situation, where x represents the temperature in degrees Celsius and y represents the number of chirps produced in one minute. Which expression is an appropriate range for the number of chirps, y, if −30 ≤ x ≤ 44?

45. In which graph is y a function of x?

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47. Which set best describes the domain and range of the following graph?

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49. Which relationship is NOTa function?

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50. Which inequality can be used to describe the range of?

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52. What is the range of the quadratic function graphed below?

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53. In which choice is y a function of x?

2 02 12 22 3

B. y = 4x2

C. x = 4y2

3 101 40 01 5

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54. Which of the following describes the domain of the function f(x)

A. all real numbers

B. all positive real numbers

C.all positive real numbers greater than or equal to

D.all positive real numbers between 0 and inclusive

55. What is the range of the function for the domain ?

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57. Which number is not an element in the range of the equation for the domain of

58. What is the domain of the relation?

A. {−3, −1, 0, 2}

B. {−4, 2, 3, 7}

C. {−3 ≤ x ≤ 2}

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D. {−4 ≤ x ≤ 7}

59. The equation for the circumference of a circle is a linear function. Which statement best describes its domain?

A. The domain is 1, 2, 3, 4, ...

B. The domain is all real numbers.

C. The domain is all real numbers greater than 0.

D. The domain is all real numbers greater than π.

60.The function describes the time, t, it takes for an object to fall from a given height, h. What is the range of this function?

C. all real numbers

D. all integers divisible by 12

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D. all real numbers

62. Which statement about the following graph is not true?

A. The range values are less than or equal to 3.

B. The domain values are less than or equal to 5.

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C. Both the domain and range values are infinite.

D. The domain and range values include all real numbers.

63. Which set of ordered pairs has a range of

A. (0, 0), (0, 1), (4, 1)

B. (0, 2), (1, 2), (4, 2)

C. (0, 0), (0, 1), (0, 2), (0, 4)

64. What is the domain of the function shown in the graph?

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A. all real numbers

B. all real numbers less than 0

C. all real numbers greater than 0

D. all real numbers between and including 2 and 6

65. What is the range of the function y = 4x + 3 for the domain 7 ≤ x ≤ 10?

66. The tax rate in Terri’s county is given by the equation y = 0.06x, where y represents the amount of tax in dollars and x represents the purchase price in dollars. Based on this equation, which statement is true?

A. Both the domain and range are all real numbers.

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B. The domain is 0.06, and the range is all real numbers.

C. Both the domain and range are greater than or equal to zero.

D. The domain is greater than or equal to zero, and the range is all real numbers.

67. Which relation is not a function?

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69.Hooke’s Law, is used to find the needed force, F, to stretch a string x inches from its natural length. If the domain is what is the range?

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D. all real numbers

71. For the function what is the range of for the domain

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72. Sam throws a ball up into the air and watches it come down. The equation for the height, h, in relation to time, t, is What is the range for the height of the ball?

A. 0 ≤ h ≤ 5

B. 0 ≤ h ≤ 25

C. 0 ≤ h ≤ 31.25

74. The following equation is used to predict the cost, c, in dollars, to produce g units of some item.

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Which is a reasonable range for the cost to produce less than 100 items?

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77. An ordered pair is missing from the table below.

x f(x)0 51 42 3? ?Which ordered pair would prevent the relation in the table from being a function?

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78. Which of the following options describes the domain and range for

79. The horizontal line shown is a constant function.

What is the function’s domain?

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B. all real numbers

80. The following equation is used to calculate the profit (or loss), p, in dollars, when a company sells x number of T-shirts.

What is the domain?

A. integers

B. whole numbers

C. positive integers

D. positive real numbers

81. The prices for different lengths of ribbon sold at a fabric store are shown in the table.

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Which statement best justifies whether or not the relationship between the length and price represents a function?

A. This relationship does not represent a function because it relates inches and dollars.

B. This relationship represents a function because no length of ribbon has more than one price.

C. This relationship represents a function because the price per inch decreases as the length of ribbon increases.

D. This relationship does not represent a function because the prices of different lengths of ribbon are all different.

82.Which of the following describes the domain of f(x) ?

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83. In which choice is y a function of x?

A. (2, –1), (3, –1), (6, –2)

B. (3, –5), (5, –1), (5, –2)

C. (2, 2), (2, 4), (4, 2)

D. (1, 1), (2, 1), (1, 2)

84. Which inequality describes the range of

A. y ≥ − 4

B. y ≥ − 3

C. y ≤ 3

D. y ≤ 4

85. John calculated some ordered pairs for a given relation as shown in the list below.

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The relation for which John calculated the ordered pairs in the list represents a function. Which set of ordered pairs shows one in which John definitely calculated incorrectly?

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86. Which statement represents the domain of the function

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87. What is the range of the relation shown below?

88. This equation is used to convert Celsius temperatures into Fahrenheit temperatures.

If what is the range in Fahrenheit?

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89. A pail of water containing 150 ounces has a slow leak. The graph shows the amount of water in the pail after each hour.

Which option correctly describes both the domain and range?

A. Domain:Range:

B. Domain:Range:

C. Domain:Range:

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D. Domain:Range:

90. Which of the following best describes both the domain and range of the distance function d = 55t?

A. all real numbers

B. all real numbers between 0 and 55

91.What is the domain of

A. All real numbers between and 2

B. All real numbers except and 2

C. All real numbers between 1 and 3

D. All real numbers except 1 and 3

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The piecewise functionis shown in the coordinate plane.

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Which of the following describes the domain and range?

94. Which statement is true about the domain of y = 3(2–x)?

A. The domain is all real numbers.

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B. The domain is all real numbers less than 0.

C. The domain is all real numbers greater than 0.

D. The domain is all real numbers greater than or equal to 2.

A. 3x2 + y = –4

B. 2x + y2 = 16

C. 4x2 + 4y2 = 36

D. 5x2 – y2 = 28

96. In which graph is ynot a function of x?

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97. If the domain of the function is , what is the range of?

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98. Which function would have “all real numbers” as its range?

A.f(x)

B. f(x)

C. f(x)

D. f(x)

99. If f is a function and x is an element of its domain, then which of these is correct?

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A. denotes the output corresponding to the input x, and the graph of

the function is

B. denotes the output corresponding to the input x, and the graph of

the function is

C. denotes the input corresponding to the output x, and the graph of

the function is

D. denotes the input corresponding to the output x, and the graph of

the function is

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Tony’s Corner Market sells bulk candy for $1.80 a pound. If the largest container holds at most 2.5 pounds and a customer purchases only 1 container, which statement best describes the possible domain and range values for this situation?

A. The domain and range both consist of all values greater than and including 0.

B. The domain and range both consist of all values greater than and including 1.80.

C. The domain is all values less than and including 2.5, and the range is all values less than and including 4.50.

D. The domain is all values between and including 0 and 2.5, and the range is all values between and including 0 and 4.50.

The relationship between x and y can be described as “y is 1 more than twice x.” Which domain and range descriptions are true?

A. Domain: all real numbersRange: all real numbers

B. Domain: all real numbers greater than or equal to 0Range: all real numbers greater than or equal to 0

C. Domain: all real numbers greater than or equal to 2Range: all real numbers less than or equal to 1

D. Domain: all real numbersRange: all real numbers greater than or equal to 1

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A cable company charges $150 per month plus $4 for each movie watched. If Tracie’s budget for cable is at most $175, what values represent this function’s domain?

A. D = {...4, 5, 6}

B. D = {0, 1, 2, 3, 4, 5, 6}

C. D = {0, 4, 8, 12, 16, 20, 24}

D. D = {150, 154, 158, 162, 166, 170, 174}

Which set represents the range of the function

A. {all real numbers}

B. {all real numbers less than 1}

C. {all real numbers greater than or equal to 0}

D. {all real numbers greater than or equal to 1}

Examine the three graphs shown below.

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Which graphs have same domain?

A. Graphs 1 and 2

B. Graphs 1 and 3

C. Graphs 2 and 3

D. Graphs 1, 2, and 3

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Which of the following is the range of the function given the domain

No matter what values are used for a and c in the quadratic , the domain will be

A. all real numbers.

B. all real numbers less than c.

C. all real numbers greater than c.

D. all real numbers greater than 0.

108. What is the range of the function given the domain

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109. Which of the following describes the domain and range of the function in the graph?

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A. x y

1 1 1 2 1 3 1 4

B. x y

1 3 2 4 1 5 5 6

C. x y

–5 7 –2 6 –2 5 0 0

D. x y 5 –1 4 –2 3 –3 2 –4

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111. For which mapped relation is the domain ?

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Each set of ordered pairs represents a function. Which set of ordered pairs would represent a function if the values of the x-coordinates and the values of the y-coordinates were reversed?

A salesperson’s weekly pay can be modeled with the function W = 400 + 0.10s where s represents the amount of sales. Which sentence describes this function’s range?

A. The range values are all greater than or equal to 400.

B. The range values are all greater than or equal to 0.

C. The range values are between 0 and 400.

D. The range values are less than 400.

What is the range of , given a domain of {–2, –1, 0, 1, 2}?

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115. What is the range of the quadratic function

D. all real numbers

116. What is the domain of the relationship shown in the table?

–6 –4 0 –3 2 7 6 9

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117. What is the range of the function given the domain ?

What is the domain of this function?

(0, 2), (1, 3), (2, 4), (3, 5), (4, 6)

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Which equation is a function?

120. In which equation is ynot a function of x?

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121. Which equation does not represent a function?

122. Which inequality represents the domain of

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123. Function for the domain is graphed on a coordinate

grid. What do x and y represent on the graph?

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A. The variable, y, is represented by over the interval in which

B. The variable, y, is represented by over the interval in which

C. The variable, x, is represented by over the interval in which

D. The variable, x, is represented by over the interval in which

Which number is an element of the range of the equation for the domain of

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125. What is the range of the function where

126. Which inequality represents the range of the exponential function

A quadratic function is shown in the graph below.

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Which of the following best describes the range of the function?

A. all real numbers

B. all real numbers less than or equal to 0

C. all real numbers less than or equal to 4

128.Which pair of inequalities represents the domain and range of

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The cost to rent tools from Art’s Tool Supply is a flat fee of $50 plus $30 per hour for a minimum 1 hour and a maximum of 10 hours. Based on this linear relationship and the number of hours, what is the range in interval notation?

A. (–∞, 350)

B. (–∞, 800]

C. [80, 350]

D. [80, 530]

What is the range of

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If the domain of an exponential function is the set of all real numbers, which option represents this?

D. and

What is the range of f(x)

A. f(x) > 0

B.f(x)

C.0 <>f(x)

D. all real numbers

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133. Which inequality represents the range of the relation graphed below?

Which statement best describes whether the relation below is a function and correctly explains why or why not?

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A. No, because one of the ordered pairs is the origin.

B. Yes, because one of the ordered pairs is the origin.

C. No, because each x-value is paired with exactly one y-value.

D. Yes, because each x-value is paired with exactly one y-value.

Which relation graphed below is a function?

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136. What is the domain and range for the function shown on the graph?

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A. The domain is 4 and the range is 4.

B. The domain is 4 and the range is all real numbers.

C. The domain is all real numbers and the range is 4.

D. The domain is all real numbers and the range is all real numbers.

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What are the domain and range of the function shown on this graph?

A. Domain is and range is

B. Domain is and range is

C. Domain is and range is

D. Domain is all real numbers, and range is all real numbers.

What is the range of the quadratic function ?

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The table below shows the amount of time four people spent doing different activities on a Saturday.

Housework

Yard Work Sleeping Televisio

Tamina 2 hours 1.5 hours 8 hours 2.5 hours

Richard 1.5 hours 3 hours 9 hours 2 hours

Maria 1 hour 4 hours 7.5 hours 4 hours

Salvador 2 hours 3 hours 8.5 hours 2.5 hours

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Based on the data, which statement is true?

A. Time spent sleeping is a function of time spent on yard work.

B. Time spent watching television is a function of time spent on

housework.

C. Time spent on yard work is a function of time spent on

housework.

D. Time spent sleeping is a function of time spent watching

television.

142. In which set of ordered pairs is y a function of x?

A. {(1.25, 6), (3, 6), (5.75, 6), (11, 6)}

B. {(2, –15), (3, –12), (4, –10), (4, –8)}

C. {(6, 1), (3, 8), (3, 9), (6, 12)}

D. {(6.5, 10), (6.5, 0), (6.5, 9), (6.5, 12)}

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Chad is paying for his groceries with a $100 bill. The amount of change he receives depends upon the cost of his groceries. What is the range of the function described by this situation?

Which graph displays a function with a range of

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146. What is the domain for

A. all real numbers

B. all real numbers greater than or equal to –

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Which relation is a function?

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C. both A and B

D. neither A nor B

In which choice is ynot a function of x?

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A. (2, –3), (–2, 3), (3, –2), (–3, 2)

B. (–2, 3), (–3, 4), (–4, 5), (–5, 6)

C. (3, –2), (–3, 2), (3, –3), (2, –2)

D. (1, –1), (–1, 2), (2, –3), (–3, 4)

Which of the following is the range of the function given the domain

150. Which option describes the domain of the given function?

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A. The domain is –1, 0 and 1.

B. The domain is all real numbers.

C. The domain is all real numbers less than or equal to 1.

D. The domain is all real numbers between and including –1 and 1.

Which quadratic function would not have the set {–3, –1, 0, 3, 6} as part of its domain and range?

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What is the range of

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Which set represents the range of the function

A. {12}

B. {−1, 0, 1, 3}

C. {−3, 1, 5, 9}

D. {−3, −1, 0, 1, 3, 5, 9}

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