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Your email address will not be published. M.S. The figure on the left shows exponential growth while the figure on the right shows exponential decay. The base b could be 1, but remember that 1 to any power is just 1, so it's a particularly boring exponential function! Higher the degree of any polynomial function, then higher is its growth. This special exponential function is very important and arises naturally in many areas. Take a closer look at \(x^2\). This article was most recently revised and updated by, https://www.britannica.com/science/exponential-function, Whitman College - Mathematics and Computer Science Department - The exponential function. Let us now focus on the derivative of exponential functions. A. Probability Density Function of an Exponential Distribution. 1988-Present: Mathematics tutoring--One on one tutoring for SES students through YP institute and Academic advantage. Therefore, b cannot be equal to 1. Your email address will not be published. The graph of log function never cuts x-axis or y-axis, though it seems to tend towards them. Examples of exponential … In fact, it's just a polynomial, and not an exponential function at all. But, mostly the base of the exponential function is encountered by the transcendental number “e”, which is approximately equal to 2.71828. by Stuart Raffeld What is an Exponential Function? To learn more Maths-related concepts, please visit www.byjus.com and download BYJU’S – The Learning App today! This function is known as logarithmic function. As noted above, this function arises so often that many people will think of this function if you talk about exponential functions. 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