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exponential function

American  

noun

Mathematics.
  1. the function y = ex .

  2. any function of the form y = bax , where a and b are positive constants.

  3. any function in which a variable appears as an exponent and may also appear as a base, as y = x 2x .


Etymology

Origin of exponential function

First recorded in 1890–95

Example Sentences

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At wide-open throttle, the raunchiness doesn’t come in wild quanta but in one smoothly linear, incredibly steep exponential function, with no interval for tactility and feedback.

From The Wall Street Journal ● Oct. 30, 2025

The horizontal asymptote of an exponential function tells us the limit of the function’s values as the independent variable gets either extremely large or extremely small.

From Textbooks ● Dec. 21, 2021

The exponential function whose base is e, is called the natural exponential function.

From Textbooks ● Sep. 23, 2020

If you have a savings account, you have experienced the use of an exponential function.

From Textbooks ● Sep. 23, 2020

The quantity, PRT of progress made in the Tth generation contains T as an exponent, and so the quantity, varying as time T passes, is called an exponential function of the time.

From Manhood of Humanity. by Alfred Korzybski

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