AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVExponential Functions with Radical Bases

Exponential Functions with Radical Bases Answers

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1
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How are the graphs of the functions f(x) = and g(x) =related?

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A
The functions f(x) and g(x) are equivalent.
B
The function g(x) increases at a faster rate.
C
The function g(x) has a greater initial value.
D
The function g(x) decreases at a faster rate.
2
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Which is equivalent to ?

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A
RootIndex x StartRoot 8 EndRoot Superscript x
Option A
B
8 Superscript StartFraction 3 Over x EndFraction
Option B
C
8 Superscript StartFraction x Over 3 EndFraction
Option C
D
8 Superscript 3 x
Option D
3

What is the simplified value of the exponential expression ?

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A
Option
Option A
B
Option
Option B
C
3
D
9
4

Which is equivalent to ?

Question illustration
A
2 RootIndex 4 StartRoot 4 EndRoot
Option A
B
4
C
16
D
16 RootIndex 4 StartRoot 4 EndRoot
Option D
5

What is the simplified base for the function f(x) = 2?

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A
2
B
3
C
9
D
18
6

When is written in its simplest radical form, which value remains under the radical?

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A
2
B
5
C
6
D
8
7

Which is equivalent to ?

Question illustration
A
8 Superscript three-fourths x
Option A
B
RootIndex 7 StartRoot 8 EndRoot Superscript x
Option B
C
RootIndex 12 StartRoot 8 EndRoot Superscript x
Option C
D
8 Superscript StartFraction 3 Over 4 x EndFraction
Option D
8

Which statements accurately describe the function f(x) = 3? Select three options.

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A
The initial value is 3.
B
The domain is x > 0.
C
The range is y >0.
D
The simplified base is 12.
E
The simplified base is 8.
9

Which is equivalent to ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which is equivalent to ?

Question illustration
A
(StartFraction 80 Over 4 EndFraction) Superscript x
Option A
B
RootIndex 4 StartRoot 80 EndRoot Superscript x
Option B
C
RootIndex x StartRoot 80 EndRoot Superscript 4
Option C
D
(StartFraction 80 Over x EndFraction) Superscript 4
Option D

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