Modeling Exponential Growth and Decay Graphs

Which graph represents the given function?

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Which of the following best represents the graph?

• y=2^x

• x=2^y

• y=x²

• y=2^-x

Is this an example of exponential growth or exponential decay.

• Growth

• Decay

• Neither

What is the name of this parent function?

• Quadratic Function

• Square Root Function

• Linear Function

• Exponential Function 

Select the color of the line that represents the asymptote of the graph shown.

• Purple

• Blue

• Green

• Red

What is the intercept of the exponential function?

Which of the following graphs is exponential decay?

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Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000(0.3)^x

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Which of the following functions shows an initial amount of $75 and a decrease of 12% each year?

• y = 75(12)^x

• y = 75(1 + 0.12)^x

• y = 75(0.88)^x

• y = 75(88)^x