Introduction to Modeling with 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 are the domain, range, and asymptote of h(x) = (1.4)x + 5?
A
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5B
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5C
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5D
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5
4
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).
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 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) =
8
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.9
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 = –910
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}Did you find these answers helpful?
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