Exponential Functions

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What is an exponential function?

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

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What is the initial value in an exponential function?

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How do you identify exponential growth from an equation?

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How do you identify exponential decay from an equation?

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What is the graph of an exponential growth function like?

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The graph of an exponential growth function rises steeply as 'x' increases, starting from the initial value.

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What is the graph of an exponential decay function like?

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The graph of an exponential decay function falls steeply as 'x' increases, approaching the x-axis but never touching it.

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What is the formula for exponential growth?

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What is the formula for exponential decay?

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What does the term 'rate of change' refer to in exponential functions?

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The rate of change in exponential functions refers to how quickly the function's value increases or decreases, determined by the base 'b'.