AnswersAlgebra ITranslations of Exponential Functions

Translations of Exponential Functions — Quiz Answers

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1
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What is the domain of f of x is equal to 3 raised to the x minus 2 power ?

A
start set x such that x is less than 0 end set
B
start set x such that x is a real number end set
C
start set x such that x is greater than 0 end set
D
start set x such that x is equal to 0 end set
2
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What is the domain of f of x is equal to 5 to the x th power minus 7 ?

A
start set x such that x is greater than 0 end set
B
start set x such that x is less than negative 7 end set
C
start set x such that x is a real number end set
D
start set x such that x is greater than negative 7 end set
3

What are the domain, range, and asymptote of h of x is equal to 1 point 4 to the x th power plus 5 ?

A
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than negative 5 end set ; asymptote: y is equal to negative 5
B
domain: start set x such that x is greater than 5 end set ; range: start set y such that y is a real number end set ; asymptote: y is equal to 5
C
domain: start set x such that x is greater than negative 5 end set ; range: start set y such that y is a real number end set ; asymptote: y is equal to negative 5
D
domain: start set x such that x i s a real number end set ; range: start set y such that y is greater than 5 end set ; asymptote: y is equal to 5
4

Which statement about f of x and its translation, g of x , is true? f of x is equal to 7 to the x th power g of x is equal to 7 to the x th power plus 6

A
The asymptote of g of x is the asymptote of f of x shifted six units down.
B
The asymptote of g of x is the asymptote of f of x shifted six units up.
C
The domain of g of x is start set x such that x is greater than 6 end set , and the domain of f of x is start set x such that x is greater than 0 end set .
D
The domain of g of x is start set y such that y is greater than 0 end set , and the domain of f of x is start set y such that y is greater than 6 end set .
5

Which is the graph of g of x is equal to 0 point 5 raised to the x plus 3 power minus 4 ?

A
Image with description On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 3. It crosses the y-axis at 0 comma 3.
B
Image with description On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 4. It crosses the y-axis at 0 comma 12.
C
Image with description On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at 0 comma 4.
D
Image with description On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at 0 comma negative 4.
6

What are the domain, range, and asymptote of h of x is equal to 2 raised to the x plus 4 power ?

A
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than 0 end set ; asymptote: y is equal to negative 4
B
domain: start set x such that x is greater than 0 end set ; range: start set y such that y is a real number end set ; asymptote: y is equal to 0
C
domain: start set x such that x is greater than negative 4 end set ; range: start set y such that y is a real number end set ; asymptote: y is equal to negative 4
D
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than 0 end set ; asymptote: y is equal to 0
7

What are the domain, range, and asymptote of h of x is equal to 0 point 5 to the x th power minus 9 ?

A
domain: start set x such that x is greater than negative 9 end set ; range: start set y such that y is a real number end set ; asymptote: y is equal to negative 9
B
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than negative 9 end set ; asymptote: y is equal to negative 9
C
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than 9 end set ; asymptote: y is equal to 9
D
domain: start set x such that x is greater than 9 end set ; range: start set y such that y is a rea l number end set ; asymptote: y is equal to 9
8

Which set of steps will translate f of x is equal to 6 to the x th power to g of x is equal to 6 raised to the x minus 5 power minus 7 ?

A
Shift f of x is equal to 6 to the x th power seven units to the right and five units up.
B
Shift f of x is equal to 6 to the x th power five units to the left and seven units up.
C
Shift f of x is equal to 6 to the x th power seven units to the left and five units down.
D
Shift f of x is equal to 6 to the x th power five units to the right and seven units down.
9

Which is the graph of g of x is equal to 2 raised to the x minus 1 power plus 3 ?

A
Image with description On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0 comma 3 point 5).
B
Image with description On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0 comma negative 2 point 5).
C
Image with description On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0 comma negative 1).
D
Image with description On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0 comma 7).
10

What is the range of f of x is equal to 3 to the x th power plus 9 ?

A
start set y such that y is less than 3 end set
B
start set y such that y is less than 9 end set
C
start set y such that y is greater than 9 end set
D
start set y such that y is greater than 3 end set

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