Translations of Exponential Functions Answers
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What are the domain, range, and asymptote of h(x) = 2x + 4?
A
domain: {x | x > 0}; range: {y | y is a real number}; asymptote: y = 0B
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = –4C
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0D
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = –42
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Which is the graph of g(x) = 2x – 1 + 3?
A
On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4).
B
On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2)
C
On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7).
D
On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).
3
The graph shows that is translated horizontally and vertically to create the function .
A
−2B
−1C
1D
24
f(x) = 7x g(x) = 7x + 6
A
The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}.B
The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}.C
The asymptote of g(x) is the asymptote of f(x) shifted six units down.D
The asymptote of g(x) is the asymptote of f(x) shifted six units up.5
The graph shows f(x) = and its translation, g(x).
A
translation of four units upB
translation of five units upC
translation of four units to the rightD
translation of five units to the right6
Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?
A
Shift f(x) = 6x five units to the left and seven units up.B
Shift f(x) = 6x five units to the right and seven units down.C
Shift f(x) = 6x seven units to the right and five units up.D
Shift f(x) = 6x seven units to the left and five units down.7
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.
A
g(x) = 5x – 9B
g(x) = 5x – 10C
g(x) = 5x – 9D
g(x) = 5x – 108
What is the range of f(x) = 3x + 9?
A
{y | y < 9}B
{y | y > 9}C
{y | y > 3}D
{y | y < 3}9
The graphs of f(x) = 10x and its translation, g(x), are shown.
A
g(x) = 10x – 3B
g(x) = 10x + 3C
g(x) = 10x – 3D
g(x) = 10x + 310
What are the domain, range, and asymptote of h(x) = (0.5)x – 9?
A
domain: {x | x > 9}; range: {y | y is a real number}; asymptote: y = 9B
domain: {x | x > –9}; range: {y | y is a real number}; asymptote: y = –9C
domain: {x | x is a real number}; range: {y | y > 9}; asymptote: y = 9D
domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9Did you find these answers helpful?
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