AnswersPBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023Introduction to Statistics

Unit 1 Part 2 TEST: Applications of Functions Answers

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Which of the following best describes how the y values are changing over each interval?xy12024038041605320

A
They are increasing by 20 each time.
B
They are increasing by 40 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
62
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The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

A
g(x) = 3x – 6
B
g(x) = 3x + 6
C
g(x) = 3x – 6
D
g(x) = 3x + 6
63

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4).

Question illustration
A
0
B
1
C
2
D
4
64

Which of the following is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
65

What is the range of f(x) = – 4?

Question illustration
A
{y | y > –4}
B
Left-brace y vertical line y greater-than three-fourths right-brace
Option B
C
{y | y < –4}
D
Left-brace y vertical line y less-than three-fourths right-brace
Option D
66

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

A
y = 32,000(1.08)x
B
y = 32,000(0.08)x
C
y = 34,560(1.08)x
D
y = 34,560(0.08)x
67

Which table represents exponential growth?

A
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 8.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16.
Option B
C
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 7, 11.
Option C
D
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 10.
Option D
68

Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.Plan A: Raise the price by $0.05 each week until the price reaches $8.00.Plan B: Raise the price by 10 percent each week until the price reaches $8.00.Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.Plan D: Raise the price by $0.25 each week until the price reaches $8.00.Which plan will result in the price of the bagels reaching $8.00 fastest?

A
plan A
B
plan B
C
plan C
D
plan D
69

The population, p, of a town after t years is represented using the equation . Which of the following is an equivalent expression?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
70

A collector’s item is purchased for $150 and its value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double?

A
Option
B
Option
C
Option
D
Option
71

On a coordinate plane, an exponential function approached y = 0 in quadrant 2 and increases into quadrant 1. It crosses the x-axis at (0, 2).

Question illustration
A
0
B
1
C
2
D
4
72

Which is the graph of f(x) = 5(2)x?

A
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 20).
Option A
B
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 50).
Option B
C
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 10).
Option C
D
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 10).
Option D
73

Consider the expression . Which of the following is an equivalent expression?

Question illustration
A
mc003-2.jpg
Option A
B
mc003-3.jpg
Option B
C
mc003-4.jpg
Option C
D
mc003-5.jpg
Option D
74

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.25), (0, 0.5), (1, 1).

Question illustration
A
f(x) = 2
Option A
B
f(x) = (2)x
Option B
C
f(x) =
Option C
D
f(x) = 2(2)x
75

Which table shows exponential decay?

A
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4.
Option B
C
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7.
Option C
D
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.
Option D
76

The table represents an exponential function.

Question illustration
A
One-third
Option A
B
Two-thirds
Option B
C
2
D
9
77

Which of the following describes the growth rate of the exponential function in the graph below?

Question illustration
A
For each x increase of 1, the y increases by a common difference of 3.
B
For each x increase of 1, the y increases by a common factor of 3.
C
For each x increase of 1, the y increases by 4 more than the previous increase.
D
For each x increase of 1, the y increases by doubling and then adding 1.
78

Which graph shows exponential growth?

A
On a coordinate plane, a parabola opens up with vertex at (0, 0).
Option A
B
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.
Option B
C
On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).
Option C
D
On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).
Option D
79

The function f(x) is defined as f(x) = (6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis?

Question illustration
A
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries 12, 2, one-third, one-eighteenth, StartFraction 1 Over 108 EndFraction.
Option A
B
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries 12, 2, 0, one-eighteenth, StartFraction 1 Over 108 EndFraction.
Option B
C
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12.
Option C
D
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12.
Option D
80

On a coordinate plane, 2 curves are shown. The first curve f (x) opens up and to the right in quadrant 1. It goes through (4, 2), (1, 4), and crosses the y-axis at (0, 5). The second curve g (x) opens down and to the right and goes through (4, negative 2), (1, negative 4), and crosses the y-axis at (0, negative 5).

Question illustration
A
g(x) = 5(0.8)–x
B
g(x) = –5(0.8)x
C
g(x) = (0.8)x
Option C
D
g(x) = 5(–0.8)x

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