AnswersVT-GA-EOC-Algebra IReflections of Exponential Functions

Exponential Functions with Radical Bases 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 = 9
B
domain: {x | x > –9}; range: {y | y is a real number}; asymptote: y = –9
C
domain: {x | x is a real number}; range: {y | y > 9}; asymptote: y = 9
D
domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9
2
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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}
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

The graph shows that is translated horizontally and vertically to create the function .

Question illustration
A
−2
B
−1
C
1
D
2
5

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
7

The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.

Question illustration
A
g(x) = 5x – 9
B
g(x) = 5x – 10
C
g(x) = 5x – 9
D
g(x) = 5x – 10
10

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
11

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
12

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.
13

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
14

Which is the graph of g(x) = (0.5)x + 3 – 4?

Question illustration
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

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