Key Features Exponential Graphs

What type of function is f(x) = 2(1/7)^x?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Above

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?

Given the following graph, find the AROC from [-6, -3].

• 2

• -2

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.

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

• Stays the same

• Decreases

• Increases

• None of these

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

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1

• Vertical Translation down 2 and Horizontal Translation left 1

• Horizontal Translation left 2 and Vertical Translation up 1

• Horizontal Translation right 2 and Vertical Translation down 1