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An exponential growth function represents a quantity that increases at a rate proportional to its current value. The constant doubling time refers to the time it takes for the quantity to double in size. In the context of exponential growth, a constant doubling time implies that the growth rate remains steady over time, leading to a continuous doubling of the quantity at regular intervals.
positive
The only non-exponential function that has this property would be a function that has the constant value of zero.
an exponential function flipped over the line y=x
An exponential function is any function of the form AeBx, where A and B can be any constant, and "e" is approximately 2.718. Such a function can also be written in the form ACx, where "C" is some other constant, used as the base instead of the number "e".
A __________ function takes the exponential function's output and returns the exponential function's input.