Exponential Functions Graphs Key Features

Which equation matches the graph?

• y = 4^{x + 3}

• y = 4^{x - 3}

• y = 4^x + 3

• y = 4^x - 3

Which equation matches the graph?

• y = 4^x + 3

• y = 4^x - 3

• y = 4^{x + 3}

• y = 4^{x - 3}

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

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 does the point (2, 360) of Phone A represent in this situation?

• Phone A is worth $2 after 360 years

• Phone A is worth $360 after 2 years

• Phone A has an initial amount of $360

• Phone A will be completely depreciated in value after 2 years.

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.

Complete the phrase:  Each year, as x, increases, the value of f(x) ______________. 

• Stays the same

• Decreases

• Increases

• None of these

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 transformation?

• Vertical Translation up 2

• Vertical Translation down 2

• Horizontal Translation left 2

• Horizontal Translation right 2

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