AnswersFL-1200310-Algebra 1Reflections 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?

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

What is the domain of f(x) = 5x – 7?

{
{x | x > –7}
{
{x | x < –7}
{
{x | x > 0}
{
{x | x is a real number}
5

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
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

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