AnswersCA-Mathematics IGeometric Sequences

Geometric Sequences — Unit test Answers

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f(x) = g(x) = – 3

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A
The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
B
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
C
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
D
The asymptote of g(x) is the asymptote of f(x) shifted three units up.
2
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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?

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A
(2, 9)
B
(2, –10)
C
(2, 14)
Option C
D
(2, 5)
3

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
4

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

A
The two functions have the same initial value.
B
The two functions will cross each other on the axis.
C
The two functions have reciprocal output values of each other for any given input value.
D
The two functions have opposite output values of each other for any given input value.
5

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
6

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
7

Which is the initial value that shrinks an exponential growth function by 50%?

A
One-fifth
Option A
B
One-fourth
Option B
C
One-third
Option C
D
One-half
Option D
8

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

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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
9

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
10

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
11

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
12

Which is equivalent to ?

Question illustration
A
3
B
6
C
9
D
12
13

Which is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 16 EndRoot Superscript 3 x
Option A
B
RootIndex 4 x StartRoot 16 EndRoot cubed
Option B
C
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
Option C
D
RootIndex 3 x StartRoot 16 EndRoot Superscript 4
Option D
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

What are the domain and range of f(x) = + 2?

Question illustration
A
domain: ; range: {y | y > 0}
Option A
B
domain: ; range: {y | y > 2}
Option B
C
domain: {x | x is a real number}; range: {y | y > 2}
D
domain: {x | x is a real number}; range: {y | y > –2}
16

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)
17

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.
18

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
19

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
20

What is the rate of increase for the function f(x) = ?

Question illustration
A
One-third
Option A
B
2
Option B
C
4
D
4
Option D

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