Graphs of Exponential Function Key Features

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

The following graph shows the parent function shifted RIGHT one unit and DOWN three units. Which is most likely the transformed equation?

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

Consider the graph m(t).

True or False? The function is always increasing.

• True

• False

What is the asymptote of the function?

• y = -1

• y = 0

• y = -2

Over what interval is f(x) positive?

• Never

The value of some cell phones changes exponentially after initial release. Here are graphs showing the depreciation of two phones 1, 2, and 3 years after they were released.

What is an appropriate domain for both functions?

The value of some cell phones changes exponentially after initial release. Here are graphs showing the depreciation of two phones 1, 2, and 3 years after they were released.

Which phone is more expensive to buy when it is first released? How do you know?

• Phone A because its initial cost is $1,000

• Phone B because its initial cost is $840

• They both cost the same in the beginning, $0

• Not enough information on the graph to know.

What is the domain of this function?

• (0, 100)