Study Guide for Exponential Functions

Write the exponential equation from the table.

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CCSS.HSF.LE.A.2

The table contains some points of on the graph of an exponential function. Based on the table, which function represents the same relationship?

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CCSS.HSF.LE.A.2

What is the exponential function for this table?

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CCSS.HSF.LE.A.2

Write the exponential equation

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CCSS.HSF.LE.A.2

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

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CCSS.HSF.LE.A.2

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

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CCSS.HSF.LE.A.2

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

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CCSS.HSF.LE.A.2

A sample of a substance with an initial mass of 500 grams is decaying at a rate of 32% per hour. 

 

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

 

Enter your answer in the space provided.

Mathematical Equivalence

ON

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CCSS.HSF.LE.A.2

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

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CCSS.HSF.LE.A.2

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Record your answer in the space provided.

Mathematical Equivalence

ON

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A1.5.9.C