Exponential Function Review

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What is an exponential function?

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What does the base of an exponential function indicate?

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The base of an exponential function indicates the growth or decay rate. If the base is greater than 1, the function represents exponential growth. If the base is between 0 and 1, it represents exponential decay.

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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 do you determine if an exponential function represents growth or decay?

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To determine if an exponential function represents growth or decay, check the base 'b': if b > 1, it represents growth; if 0 < b < 1, it represents decay.

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What is the y-intercept of an exponential function?

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How do you calculate the value of an exponential function at a specific point?

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To calculate the value of an exponential function at a specific point, substitute the value of 'x' into the function and solve for 'y'.

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What is the formula for compound interest, which is an application of exponential functions?

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What is the exponential growth formula in population studies?

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What is the half-life in the context of exponential decay?

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The half-life is the time required for a quantity to reduce to half its initial value in exponential decay processes.