Exponential Functions Test Review

Which graph matches the equation?

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What is the horizontal asymptote for the graph of 
f(x)=-2(3)^x+4-8 ?

• y=8

• y=-8

• x=-8

• x=-4

What is the decay rate in the following model?

• 1200

• .15

• .85

• 6

Derrick has $1,000 in a savings account that ears 15% interest, compounded monthly. To the nearest cent, how much will he have in 2 years?

• $5,350.25

• $1,322.50

• $1,025.16

• $1,347.35

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

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?

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

The function shown is a(n)​ (a)   function.

This function shows ​ (b)   because the graph is decreasing.

The horizontal asymptote is at ​ (c)  

• exponential

• decay

• y=-1

• linear

• x=-1

• growth

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?

The number of farms in Indiana (in thousands) can be modeled by F = 115,000(.987)^t, where t is the number of years since 1980.  According to the equation, when will the number of farms in Indiana be about 50,000?

• 54 years

• 64 years

• 76 years

• 67 years