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Geometric Sequences — Unit test Answers

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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
26

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
27

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
28

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
29

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
30

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.

A
0.05
B
0.5
C
1.05
D
5.0
31

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

Question illustration
A
Option
B
Option
C
Option
D
Option
32

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
33

Which best describes the range of the function f(x) = (6)x after it has been reflected over the x-axis?

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
34

1.2, 3, 7.5, 18.75, ...

A
f(x) = 1.2(2.5)x – 1
B
f(x) = 2.5(1.2)x – 1
C
f(x) = 1.2(2.5)x
D
f(x) = 2.5(1.2)x
35

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
36

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
37

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
38

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
39

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
40

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.

Question illustration
A
One-eighth
Option A
B
One-fourth
Option B
C
One-half
Option C
D
1

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