Reflections of Exponential Functions — Unit test

Question 1

Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4?

Revolt · Accepted Answer

Shift f(x) = 3x one unit to the left and four units up.

Question 2

What are the domain, range, and asymptote of h(x) = 2x + 4?

Revolt · Accepted Answer

domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0

Question 3

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

Revolt · Accepted Answer

2

Question 4

The graphs of f(x) = 10x and its translation, g(x), are shown.

Revolt · Accepted Answer

g(x) = 10x – 3

Question 5

The graph shows f(x) = and its translation, g(x).

Revolt · Accepted Answer

translation of four units up

Question 6

What are the domain, range, and asymptote of h(x) = (0.5)x – 9?

Revolt · Accepted Answer

domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9

Question 7

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

Revolt · Accepted Answer

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

Question 8

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

Revolt · Accepted Answer

{y | y > 9}

Question 9

Which is the graph of g(x) = 2x – 1 + 3?

Revolt · Accepted Answer

On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4).

Question 10

f(x) = 7x g(x) = 7x + 6

Revolt · Accepted Answer

The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Reflections of Exponential Functions — Unit test Answers