AnswersVT-GA-EOC-Algebra IReflections of Exponential Functions

Translations of Exponential Functions Answers

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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 = 5
B
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
C
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
D
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5
22
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The graph shows that is translated horizontally and vertically to create the function .

Question illustration
A
−2
B
−1
C
1
D
2
23

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
24

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
25

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).
Option A
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)
Option B
C
On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7).
Option C
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).
Option D

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