Translations of Exponential Functions Answers
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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 – 102
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What is the domain of f(x) = 5x – 7?
A
{x | x > –7}B
{x | x < –7}C
{x | x > 0}D
{x | x is a real number}3
Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4?
A
Shift f(x) = 3x one unit up and four units to the right.B
Shift f(x) = 3x one unit up and four units to the left.C
Shift f(x) = 3x one unit to the right and four units up.D
Shift f(x) = 3x one unit to the left and four units up.4
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 = –95
The graph shows that is translated horizontally and vertically to create the function .
A
−2B
−1C
1D
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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 right7
Which is the graph of g(x) = (0.5)x + 3 – 4?
A
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, negative 4).
B
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, 3).
C
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, 4).
D
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, 12).
8
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.9
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).
10
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.Did you find these answers helpful?
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