AnswersCA-Mathematics IGeometric Sequences

Geometric Sequences — Unit test Answers

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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
22
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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
23

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
24

The table represents an exponential function.

Question illustration
A
0.2
B
0.25
C
0.5
D
0.75
25

Lena is asked to write an explicit formula for the graphed geometric sequence.

Question illustration
A
1.0
B
1.5
C
2.5
D
2.0
26

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
27

Which is equivalent to ?

Question illustration
A
3
B
6
C
36
D
72
28

The points shown on the graph represent the numbers in a geometric sequence.

Question illustration
A
1
B
2
C
3
D
8
29

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
30

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
31

Which is a stretch of an exponential decay function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
32

What is the simplified value of the exponential expression ?

Question illustration
A
Option
Option A
B
Option
Option B
C
2
D
4
33

On a coordinate plane, 3 points are plotted. The points are (1, 80), (2, 20), (3, 5).

Question illustration
A
f(x) = 80
Option A
B
f(x) = 320
Option B
C
f(x) = 80(4)x – 1
D
f(x) = 320(4)x – 1
34

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 1).

Question illustration
A
g(x) = 2(3)x
B
g(x) = −(3)x
Option B
C
g(x) = (3)−x
Option C
D
g(x) = 2(3)−x
35

Which is equivalent to ?

Question illustration
A
4
B
12
C
64
D
192
36

Which formula can be used to describe the sequence?, −4, −24, −144,...

Question illustration
A
f(x) = 6
Option A
B
f(x) = −6
Option B
C
f(x) = (6)x − 1
Option C
D
f(x) = (−6)x − 1
Option D
37

Isaak is writing an explicit formula to represent the sequence.64, 112, 196, 343, ...What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

A
0.75
B
1.75
C
58
D
279
38

Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-thirds, ellipsis

Question illustration
A
f(x + 1) = –2f(x)
B
f(x + 1) = f(x)
Option B
C
f(x + 1) = f(x)
Option C
D
f(x + 1) = 2f(x)
39

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
40

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

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