Translations of Exponential Functions Answers

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1
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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).
Option A
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).
Option B
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).
Option C
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).
Option D
2
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The graph shows f(x) = and its translation, g(x).

Question illustration
A
translation of four units up
B
translation of five units up
C
translation of four units to the right
D
translation of five units to the right
3

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}
4

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 = 0
B
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = –4
C
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0
D
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = –4

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