Exponential Functions with Radical Bases Answers
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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}2
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The graph of g(x) is the result of translating the graph of f(x) = three units to the left. What is the equation of g(x)?
A
g(x) =
B
g(x) =
C
g(x) =
D
g(x) =
3
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 – 104
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.5
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 = –96
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}7
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).
8
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.9
What is the domain of f(x) = 3x – 2?
A
{x | x > 0}B
{x | x < 0}C
{x | x = 0}D
{x | x is a real number}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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