Exponential Functions in Context

Write the equation that represents the table below:

• y=½(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(½)^x

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
How much money will you have after 14 days?

• $ 819.20

• $ 8,192.00

• $ 1.40

• $ 819.02

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.
How many employees will there be after 3 years?

• 14,000 employees

• 12,386 employees

• 40,360 employees

• 15,748 employees

Which table represents the following equation?

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Which equation is representative of the graph?

• y=4(1/2)^x

• y=1/2(4)^x

• y=4(2)^x

• y=8(1/2)^x

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Evaluate the exponential function

f(x) = 3^x ; x = - 2

• -81

• -9

• 1/9

• -1/81

Consider this function for cell duplication. The cells duplicate every minute. f(x) = 75(2)^x

• The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

• The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

• The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute

• The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

Which scatter plot BEST represents a model of exponential growth?

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Which statement is true about the graphs of exponential functions?

• The graphs of exponential functions never exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions always exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear functions but not quadratic functions.