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Geometric Sequences — Unit test Answers

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The function f(x) = 8 is reflected across the y-axis to create g(x). Which table of values could be used to graph g(x)?

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 entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 8, 32, 128.
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 entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 0, 32, 128.
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 entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, negative 8, negative 2, negative one-half.
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 entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, 0, negative 2, negative one-half.
Option D
2
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Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

A
Option
B
Option
C
Option
D
Option
3

Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?

A
(2, 12)
B
(2, 18)
C
(2, 7)
D
(3, 7)
4

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 5
Option C
D
f(x) = 5(5)x
E
f(x) = 5(5)–x
5

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

A
The range contains only natural numbers.
B
The domain contains only natural numbers.
C
Exponential bases must be whole numbers.
D
Initial values must be whole numbers.
6

Tanisha is graphing the function f(x) = 25()x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?

Question illustration
A
(2, 9)
B
(2, –10)
C
(2, 14)
Option C
D
(2, 5)
7

Which is the graph of the sequence defined by the function f(x + 1) = f(x) when the first term in the sequence is 375?

Question illustration
A
Option
B
Option
C
Option
D
Option
8

The graph of f(x) = (2.5)x and its reflection across the x-axis, g(x), are shown.

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
9

Which best describes the range of the function f(x) = 2 after it has been reflected over the y-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
10

Which function represents exponential decay?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
11

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
12

Which is equivalent to ?

Question illustration
A
3
B
6
C
9
D
12
13

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y = 7,746.90(1.02)x
B
y = 7,746.90(0.02)x
C
y = 7,595.96(1.02)x
D
y = 7,595.96(0.02)x
14

Which is a stretch of an exponential growth function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
15

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been added to the exponential expression.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponent.
D
A whole number constant could have been subtracted from the exponent.
16

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
17

Which formula can be used to describe the sequence?

Question illustration
A
f(x) = −3
Option A
B
f(x) = −3
Option B
C
f(x) = (3)x − 1
Option C
D
f(x) = (−3)x − 1
Option D
18

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

A
g(x) = (1.6)x + 5 − 9
B
g(x) = (1.6)x + 5 + 9
C
g(x) = (1.6)x − 9 + 5
D
g(x) = (1.6)x + 9 + 5
19

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

Question illustration
A
Four-fifths
Option A
B
Five-fourths
Option B
C
Three-halves
Option C
D
Seven-fourths
Option D
20

Which is a shrink of an exponential growth function?

A
f(x) = (3)x
Option A
B
f(x) = 3(3)x
C
f(x) =
Option C
D
f(x) =
Option D

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