Chapter 6 Exponential Functions

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CCSS.8.EE.A.1

What is the equation that represents the exponential function in the image below?

• y=3(½)^x

• y=3(2)^x

• y=(2)^x

• y=2(3)^x

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CCSS.HSF.LE.A.2

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons. Which function models the amount of cola in gallons after h hours?

• f(h) = 75(-5)^h

• f(h) = -5(75)^h

• f(h) = .95(75)^h

• f(h) = 75(.95)^h

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CCSS.HSF.LE.A.2

Write the equation of the exponential function for the given table.

• y = 2(1/3)^x

• y = -2(1/3)^x

• y = 1/3(2)^x

• y = 2(-1/3)^x

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CCSS.HSF.LE.A.2

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CCSS.HSF-IF.C.7E

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

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; (0, 1⁄3)

• y = 1⁄3 (3)^x ; (0, 3)

• y = 3 (1/3)^x ; (0, 1⁄3)

• y = 3 (1/3)^x ; (0,3)

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CCSS.HSF.LE.A.2

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

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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