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* They tend to grow (or decrease) very fast* The derivative of the basic exponential function is equal to the function value itself

* They are used to describe many common situations, such as the growth of a population under certain conditions, radioactive decay, etc.

* An exponential function with a positive exponent will eventually grow faster than any polynomial function

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The gradient at any point is directly proportional to the value of the function at that point.

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Q: What are the characteristics of exponential functions?
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