AnswersCA-Algebra I A – 6002Exponential Functions with Radical Bases

Exponential Functions with Radical Bases Answers

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Which is equivalent to (RootIndex 3 StartRoot 125 EndRoot) Superscript x ?

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Option
B
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D
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2
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39✔ 2781

A
3
B
9
C
✔ 27
D
81
3

The domain is [___].

A
< 0
B
y < 0
C
> 0
D
all real numbers
4

x 0x > 0all real numbers

A
x < 0
B
✔ y > 0
C
x > 0
D
all real numbers
78924

⇒ 4

Answer:

78924

78955

x 0✔ all real numbers

A
x < 0
B
y < 0
C
x > 0
D
✔ all real numbers
78956

Which expression is equivalent to ?

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Option A
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Option
Option B
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Option C
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Option D
78957

Which exponential functions have been simplified correctly? Check all that apply. [image 1] [image 2] [image 3] [image 4] [image 5]

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E
Option
78958

Which functions are equivalent to [image 1] ? Check all that apply. [image 2] [image 3] [image 4] [image 5] [image 6]

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E
Option
78959

How are the functions [image 1] and [image 2] related?

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A
The output values of g(x) are one-half the output values of f(x) for the same value of x.
B
The output values of g(x) are one-quarter the output values of f(x) for the same value of x.
C
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
D
The output values of g(x) are the square of the output values of f(x) for the same value of x.
78960

Determine the domain and range of the function .

Question illustration
A
{x| all real numbers}; {y| y > 0}
B
{x| all real numbers}; {y| y ≥ 0}
C
{x| x > 0}; {y| all real numbers}
D
{x| x ≥ 0}; {y| all real numbers}
78961

Simplify the function . Then determine the key aspects of the function.

Answers:
The initial value is .:1/3
The simplified base is .:27
The domain is .:all real numbers
The range is .:y > 0
78962

Simplify the function . Then determine the key aspects of the function.

Question illustration
Answers:
The initial value is .:1/3
The simplified base is .:27
The domain is .:all real numbers
The range is .:y > 0
78963

Determine which function produces the same graph as f (x) = (8 Superscript two-thirds x Baseline) (16 Superscript one-half x Baseline) .

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A
f(x) = 4x
B
f(x) = 42x
C
f(x) = 83x
D
f(x) = 162x
78964

Which is equivalent to ?

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Option A
B
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Option B
C
Option
Option C
D
Option
Option D
78965

Which expression is equivalent to 81 Superscript one-third ?

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B
Option
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Option
D
Option
78966

Which graph represents the function ?

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Option A
B
Option B
C
Option C
D
Option D
78967

Which exponential functions have been simplified correctly? Check all that apply.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
78968

Which functions are equivalent to ? Check all that apply.

Question illustration
A
f (x) = 162 Superscript StartFraction x Over 4
Option A
B
f (x) = (3 RootIndex 4 StartRoot 2 EndRoot) Superscript x
Option B
C
f (x) = 9 RootIndex 4 StartRoot 2 EndRoot Superscript x
Option C
D
f (x) = 126 Superscript StartFraction 4 Over x
Option D
E
f (x) = left-bracket 3 (2 Superscript one-fourth Baseline) right-bracket Superscript x
Option E
78969

How are the functions and related?

Question illustration
A
The output values of g(x) are one-half the output values of f(x) for the same value of x.
B
The output values of g(x) are one-quarter the output values of f(x) for the same value of x.
C
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
D
The output values of g(x) are the square of the output values of f(x) for the same value of x.

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