Writing Exponential Equations from Graphs: Two-Point Method

This lesson teaches how to write exponential equations by analyzing graphs. It covers identifying exponential growth and decay, understanding the general equation y = aB^X, and addresses common misconceptions. Two scenarios are explored: one with a known Y-intercept and another with an unknown Y-intercept, demonstrating how to derive equations using data points from graphs.

What is the general form of an exponential equation?

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Explain the difference between exponential growth and exponential decay.

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What common misunderstanding might occur when analyzing a graph for exponential relationships?

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How can you determine the initial value 'a' in the exponential equation?

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Describe the steps to find the explicit equation when the Y intercept is unknown.

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What values do you need to substitute into the general equation to find 'B'?

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Summarize the process of writing an exponential equation from a graph.

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