AnswersCA-Common Core Math I A-CRTranslations of Exponential Functions

Translations of Exponential Functions Answers

10 verified answers2 views
1
Free Preview

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.
2
Free Preview

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.
3

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)?

Question illustration
A
g(x) =
Option A
B
g(x) =
Option B
C
g(x) =
Option C
D
g(x) =
Option D
4

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
5

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
6

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
7

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
8

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.
9

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}
10

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

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Translations of Exponential Functions

Quiz
10 verified answers

Translations of Exponential Functions

Assignment
3 verified answers

Assignment

Translations of Exponential Functions Answers…