Translations of Exponential Functions

What are the domain, range, and asymptote of h(x) = 6x - 4?

domain: {x | x is a real number}; range: {y | y > -4}; asymptote: y = -4

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

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

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

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

What is the range of f(x) = (3/4)x - 4?

{y | y > -4}

The graph shows that f(x) = (1/3)x is translated horizontally and vertically to get the function g(x) = (1/3)x-h + k. What is the value of k?

-3

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

Image A first one

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

Image A first one

f(x) = 7x g(x) = 7x + 6 Which statement about f(x) and its translation, g(x), is true?

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

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

g(x) = 5x - 10

The graph shows that f(x) = 3x is translated horizontally and vertically to create the function g(x) = 3x - h + k. What is the value of h?

h=2

The graph shows f(x) = (1/2)x and its translation, g(x). Which describes the translation of f(x) to g(x)?

translation of four units up

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

{y | y > 9}