2e^(2x) is an exponential function that represents the growth or decay of a quantity at a rate of 2 times the base of natural logarithm, e, raised to the power of 2x.
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Exponential Function: A mathematical function where the variable appears in the exponent. It grows or decays rapidly depending on the value of its base.
Natural Logarithm (ln): The inverse function of exponential functions with base e. It gives us the exponent needed to obtain a certain value using e as the base.
Growth Rate: The rate at which a quantity increases over time. In this case, it is represented by 2 in front of e^(2x), indicating rapid growth.