Writing Exponential Functions from Tables & Graphs

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What is an exponential function?

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What does the base of an exponential function represent?

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How do you identify an exponential function from a table of values?

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To identify an exponential function from a table, check if the ratio of consecutive outputs remains constant when the inputs are increased by the same amount.

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What is the general form of an exponential function?

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How do you find the equation of an exponential function from a graph?

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What is the significance of the initial value in an exponential function?

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How can you determine if a function is exponential by looking at its graph?

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An exponential function's graph will show a rapid increase or decrease, forming a curve that is either rising or falling, and will never touch the x-axis.

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What is the difference between exponential growth and exponential decay?

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How do you write an exponential function given a specific point and growth factor?

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What is the formula for exponential decay?

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