Graphing Exponential Functions

The video tutorial explains how to graph a basic exponential function by modeling the process of cutting a string. It covers the concept of exponential functions, focusing on exponential decay, and demonstrates how to organize data in a table and graph the results. The tutorial highlights the characteristics of exponential functions, such as the y-intercept and horizontal asymptote, and provides examples of exponential growth and decay. The lesson concludes with a summary of key points and a visual representation of the concepts discussed.

What is the general form of an exponential function?

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Explain the difference between exponential growth and exponential decay.

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How does cutting a string in half relate to exponential decay?

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What happens to the length of the string as the number of cuts increases?

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Describe the behavior of the graph of an exponential decay function as x approaches infinity.

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What is the significance of the y-intercept in an exponential function?

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How does the concept of a horizontal asymptote apply to exponential functions?

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