(03.01 LC) Which set represents the range of the function shown? (5 points)

{(8, 2), (6, 5), (4, 7), (11, −2)}

Group of answer choices

{−2, 2, 5, 7}

{4, 6, 8, 11}

{(2, 8), (5, 6), (7, 4), (−2, 11)}

{−2, 2, 4, 5, 6, 7, 8, 11}

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Question 25 pts
(03.01 LC)

Given that h(x) = 3x − 19, find the value of x that makes h(x) = 71. (5 points)

Group of answer choices

30

43

52

194

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Question 35 pts
(03.02 MC)

Given the function g(x) = 4x − 5, compare and contrast g(2) and g(−4). Choose the statement that is true concerning these two values. (5 points)

Group of answer choices

The value of g(2) is larger than the value of g(−4).

The value of g(2) is smaller than the value of g(−4).

The value of g(2) is the same as the value of g(−4).

The values of g(2) and g(−4) cannot be compared.

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Question 45 pts
(03.03 LC)

The graph below shows a line segment PQ:

Graph of line segment PQ with endpoints at negative 2 comma 1 and 4 comma 4

What is the slope of the line segment PQ? (5 points)

Group of answer choices

−2

− 1 over 2

1 over 2

2

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Question 55 pts
(03.03 MC)

The graph below shows a line segment MN:

graph of line MN going through ordered pairs negative 2, 3 and 1, negative 3

Which of the following equations best represents the line segment MN? (5 points)

Group of answer choices

y = −3x + 2

y = −2x + 1

y = −3x − 2

y = −2x − 1

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Question 65 pts
(03.03 MC)

Choose the graph below that correctly represents the equation 2x + 4y = 24. (5 points)

Group of answer choices

line through the points 0 comma 6 and 12 comma 0

line through the points 0 comma negative 6 and 12 comma 0

line through the points 0 comma negative 12 and 6 comma 0

line through the points 0 comma 12 and 6 comma 0

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Question 75 pts
(03.05 MC)

The graph below shows the air temperature of a location (y), in degrees Celsius, after different time intervals (x), in hours:

Graph of first line going through ordered pairs 0, 40 and 2, 10. Graph of second line going through ordered pairs 2, 10 and 4, 10. Graph of third line going through ordered pairs 4, 10 and 7, 50.

Which of the following statements best describes the temperature of the location? (5 points)

Group of answer choices

It is decreasing in the time interval 10 < x < 50 hours.

It is decreasing in the time interval 0 < x < 2 hours.

It is increasing in the time interval 10 < x < 50 hours.

It is increasing in the time interval 0 < x < 2 hours.

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Question 85 pts
(03.05 MC)

The table below represents the atmospheric temperature at a location as a function of the altitude:

Altitude
(in thousand feet)
x
Temperature
(in °C)
f (x)
15
4
20
−6
25
−16
30
−26
The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet. (5 points)

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Question 95 pts
(03.05 LC)

The functions f(x) and g(x) are described below:

f(x) = 32x + 8
g(x) = 32x − 9

The graph of g(x) is obtained by shifting down the graph of f(x) by units. (5 points)

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Question 105 pts
(03.05 LC)

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? (5 points)

Group of answer choices

The graph of y = f(x) will shift up 11 units.

The graph of y = f(x) will shift right 11 units.

The graph of y = f(x) will shift left 11 units.

The graph of y = f(x) will shift down 11 units.

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Question 115 pts
(03.06 LC)

Choose the equation below that represents the line that passes through the point (7, −2) and has a slope of −3. (5 points)

Group of answer choices

y − 2 = −3(x + 7)

y + 7 = −3(x − 2)

y + 2 = −3(x − 7)

y − 7 = −3(x + 2)

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Question 125 pts
(03.06 MC)

Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation. (5 points)

Group of answer choices

f(x) = 4x − 6

f(x) = x + 4

y = x + 4

y = 4x − 6

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Question 135 pts
(03.07 LC)

Choose the equation of the horizontal line that passes through the point (2, 4). (5 points)

Group of answer choices

y = 2

x = 2

y = 4

x = 4

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Question 145 pts
(03.07 LC)

Choose the graph below that has slope of zero. (5 points)

Group of answer choices

line through the points 0 comma 0 and 1 comma 1

horizontal line through the point 0 comma 5

line through the points negative 1 comma 1 and 0 comma 0

vertical line through the point 5 comma 0