Exponential Functions Writing

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

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

• y = 1(4)^x

• y = 1(1/4)^x

• y = 4(4)^x

• y = 1/4(1)^x

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

• y = -2(1/2)^x

• y = 2(1/2)^x

• y = 2(2)^x

• y = 1/2(2)^x

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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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

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

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

• 800

• 0.95

• 2000

• decay

• growth

• 5%

• 95%

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?