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 (y-values) remains constant when the inputs (x-values) are increased by the same amount.

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What is the general form of an exponential function?

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How can you determine the initial value of an exponential function from a graph?

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

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How do you write an exponential function from a graph?

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To write an exponential function from a graph, identify the y-intercept (initial value) and the base (growth/decay factor) by analyzing the rate of change between points.

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What is the difference between exponential growth and exponential decay?

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How do you find the equation of an exponential function given two points?

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What is the role of the constant 'a' in an exponential function?

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