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

Translations of Exponential Functions Answers

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1
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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 are the domain, range, and asymptote of h(x) = (1.4)x + 5?

d
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
d
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
d
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
3

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

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

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}
6

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
7

What is the domain of f(x) = 5x – 7?

{
{x | x > –7}
{
{x | x < –7}
{
{x | x > 0}
{
{x | x is a real number}
8

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
9

What is the range of f(x) = 3x + 9?

{
{y | y < 9}
{
{y | y > 9}
{
{y | y > 3}
{
{y | y < 3}
10

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.

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