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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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See Examples For:

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

Recall that an exponential function is any equation written in the form such that and are positive numbers and Any positive number can be written as for some value of .

From Textbooks ● Sep. 23, 2020

This is the shape we expect from an exponential function where a > 1.

From Textbooks ● May 6, 2020

As we studied the exponential function, we saw that it is one-to-one as its graphs pass the horizontal line test.

From Textbooks ● May 6, 2020

The supreme factor is the use of the mind—the exponential function of time—the time-binding energy of man.

From Manhood of Humanity. by Alfred Korzybski

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