Translations of Exponential Functions Answers
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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 = –92
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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
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).
4
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}5
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.6
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
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 = –48
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}9
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 = –510
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 – 10Did you find these answers helpful?
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