AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVExponential Decay Functions

Exponential Functions with Radical Bases Answers

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

Question illustration
A
3
B
3
Option B
C
6
Option C
D
27
2
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Which is equivalent to ?

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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
3

Which is equivalent to ?

Question illustration
A
92x
B
9 Superscript one-eighth x
Option B
C
StartRoot 9 EndRoot Superscript x
Option C
D
RootIndex 5 StartRoot 9 EndRoot Superscript x
Option D
4

Which is equivalent to ?

Question illustration
A
243x
B
1,215 Superscript one-fifth x
Option B
C
1,215 Superscript StartFraction 1 Over 5 x EndFraction
Option C
D
243 Superscript StartFraction 1 Over x EndFraction
Option D
5

What is the simplified value of the exponential expression ?

Question illustration
A
Option
Option A
B
Option
Option B
C
3
D
9
6

Which is equivalent to ?

Question illustration
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
7

Which statements accurately describe the function f(x) = 3? Select three options.The domain is all real numbers. The range is y > 3.The initial value is 3.The initial value is 9.The simplified base is .

Question illustration
A
The domain is all real numbers.
B
The range is y > 3.
C
The initial value is 3.
D
The initial value is 9.
E
The simplified base is .
Option E
8

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

Question illustration
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.
9

Which expression is equivalent to ?

Question illustration
A
2 StartRoot 3 EndRoot
Option A
B
2 RootIndex 3 StartRoot 3 EndRoot
Option B
C
2 StartRoot 6 EndRoot
Option C
D
2 RootIndex 3 StartRoot 6 EndRoot
Option D
10

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

Question illustration
A
2
B
5
C
6
D
8

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