AnswersOC27 MATH COLL LIB ARTS-1207350-S1-Maguire-DAquinoReflections of Exponential Functions

Reflections of Exponential Functions — Unit test Answers

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21
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Which exponential function has an initial value of 2?

A
f(x) = 2(3x)
B
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (2, 2).
Option B
C
f(x) = 3(2x)
D
A 2-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 one-eighth, one-fourth, one-half, 1, 2.
Option D
22
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What is the domain of f(x) = 5x – 7?

A
{x | x > –7}
B
{x | x < –7}
C
{x | x > 0}
D
{x | x is a real number}
23

Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4?

A
Shift f(x) = 3x one unit up and four units to the right.
B
Shift f(x) = 3x one unit up and four units to the left.
C
Shift f(x) = 3x one unit to the right and four units up.
D
Shift f(x) = 3x one unit to the left and four units up.
24

What kind of growth model (pattern) is shown in the table? xy152253125462553,125

A
square root
B
linear
C
exponential
D
quadratic
25

The table below represents a function. x12345y116642561,024 Which statement would best describe the graph of the function?

A
The graph is a straight line that has a slope of 8.
B
The graph is a horizontal line at y = 16.
C
The graph starts flat but curves steeply upward.
D
The graph is a parabola that opens upward.
26

The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?

A
0.5
B
2
C
2.5
D
5
27

The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

A
2
B
5
C
10
D
32
28

Which equation represents an exponential function with an initial value of 500?

A
f(x) = 100(5)x
B
f(x) = 100(x)5
C
f(x) = 500(2)x
D
f(x) = 500(x)2
29

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
30

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.Plan A: Raise the price by $0.10 each week until the price reaches $12.00.Plan B: Raise the price by 10 percent each week until the price reaches $12.00.Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.Plan D: Raise the price by $0.25 each week until the price reaches $12.00.Which plan will result in the price of the feed reaching $12.00 fastest?

A
plan A
B
plan B
C
plan C
D
plan D
31

Which table represents a linear function?

A
mc020-1.jpg
Option A
B
mc020-2.jpg
Option B
C
mc020-3.jpg
Option C
D
mc020-4.jpg
Option D
32

Which is the graph of f(x) = (4)x?

Question illustration
A
Option
B
Option
C
Option
D
Option
33

The table represents an exponential function.

Question illustration
A
Two-thirds
Option A
B
Three-fourths
Option B
C
Four-thirds
Option C
D
Three-halves
Option D
34

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
35

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
36

Which pair of numbers is relatively prime?

A
7 and 21
B
4 and 15
C
6 and 9
D
9 and 27
37

What kind of growth model (pattern) is shown in the table? xy152253125462553,125

A
square root
B
linear
C
exponential
D
quadratic
38

Which expression is equivalent to ?

Question illustration
A
p q Superscript 9
Option A
B
9pq
C
(p q) Superscript 9
Option C
D
(p q) Superscript 10
Option D
39

Which is the graph of f(x) = 100(0.7)x?

A
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Option A
B
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100).
Option B
C
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100).
Option C
D
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100).
Option D
40

What is the greatest common factor of 9 and 12?

A
3
B
9
C
36
D
108

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