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

Tags

CCSS.HSF.LE.A.2

Which equation matches the graph?

• y = 4^x + 3

• y = 4^x - 3

• y = 4^{x + 3}

• y = 4^{x - 3}

Tags

CCSS.HSF.LE.A.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

Tags

CCSS.HSF.BF.B.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.

Tags

CCSS.HSF.LE.B.5

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?

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the transformation?

• Vertical Translation up 2

• Vertical Translation down 2

• Horizontal Translation left 2

• Horizontal Translation right 2

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF-IF.C.7E