AnswersVA-Mathematical AnalysisStep Functions

Step Functions — Cumulative exam Answers

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21
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What are the domain and range of f(x) = |x + 6|?

A
domain: ; range: f(x) 0
Option A
B
domain: x ; range:
Option B
C
domain: x ; range:
Option C
D
domain: ; range: f(x) 0
Option D
22
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Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

A
reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
B
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
C
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
D
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis
23

Which survey is most likely affected by bias?

A
a survey of teenagers about their favorite colors
B
a survey of students about vacation policies in a school district
C
a survey of supermarket shoppers about products they would like to see added
D
a survey of bike riders on whether they wear helmets
24

David is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?

A
the mean of the population
B
the mean of the sample
C
the standard deviation of the population
D
the significance level of the test
25

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

A
x = –2, x = –8
B
x = –2, x = –6
C
x = –2, x = 6
D
x = –2, x = 8
26

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

A
P(pink lemonade | female) = P(pink lemonade) = 0.6.
B
P(female | pink lemonade ) = P(pink lemonade) = 0.3.
C
P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6.
D
P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
27

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

Question illustration
A
0.3
B
0.4
C
0.7
D
0.8
28

For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?

Question illustration
A
Negatively skewed
B
Normal, symmetrical distribution
C
Positively skewed distribution
D
None of the above
29

What is the following product?

Question illustration
A
–2
B
2
C
22 –
Option C
D
98 –
Option D
30

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
45°
B
135°
C
240°
D
540°
31

Which graph shows the solution set of ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
32

Which graph shows the solution set of ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
33

Which expression is equivalent to ? Assume .

Question illustration
A
–50x8y18
B
–2x8y18
C
–2x12y72
D
5x8y18
34

If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5
35

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
36

For what value of x does ?

Question illustration
A
1
B
3
C
12
D
no solution
37

Consider the sets below.U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}Is R ⊂ A?

A
yes, because all the elements of set A are in set R
B
yes, because all the elements of set R are in set A
C
no, because each element in set A is not represented in set R
D
no, because each element in set R is not represented in set A
38

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
2.6 ft
B
7.0 ft
C
10.5 ft
D
31.4 ft
39

Which graph represents the following piecewise defined function?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
40

What is the value of ?

Question illustration
A
–4.00
B
–0.25
C
1.51
D
2.41

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