Exponential Functions

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What is an exponential function?

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What does the 'b' represent in an exponential function?

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The 'b' in an exponential function represents the base of the exponential, which determines the rate of growth or decay.

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What does the 'a' represent in an exponential function?

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The 'a' represents the initial value or y-intercept of the function.

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What is the general form of an exponential growth function?

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What is the general form of an exponential decay function?

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How can you identify exponential growth from a graph?

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Exponential growth is identified by a curve that rises steeply as x increases, indicating that the function's value increases rapidly.

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How can you identify exponential decay from a graph?

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Exponential decay is identified by a curve that falls steeply as x increases, indicating that the function's value decreases rapidly.

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What is the effect of changing the base 'b' in an exponential function?

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Changing the base 'b' affects the rate of growth or decay; a larger base results in faster growth, while a smaller base (greater than 0 but less than 1) results in faster decay.

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What is the domain of an exponential function?

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