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Published byDenzel Hanthorn Modified over 2 years ago

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Exponential Growth or Decay? Growth Decay Growth

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Exponential Growth or Decay? We need to know what e is…. e is number discovered by Euler. e = 2.71828…. Like π it is irrational. So because e is greater than 1 this function would be an exponential growth.

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Performing Mathematics with e Recall: Well, since e is just a number /base all of these rules apply for e

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=8e 2

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Graphing e e follows all the rules of exponential growth and decay. GrowthDecay f(x)= 2e x f(x)= 2e -x x

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Growth Decay f(x)= 2e x f(x)= 2e -x x : none y : (0,2) D: (- ∞,∞) R: (0, ∞) Asy: y = 0 x : none y : (0,2) D: (- ∞,∞) R: (0, -∞) Asy: y = 0 x : none y : (0,2) D: (- ∞,∞) R: (0, ∞) Asy: y = 0 x : none y : (0,2) D: (- ∞,∞) R: (0, -∞) Asy: y = 0 x

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Compounding Continuously A more accurate depiction of what happens in nature (and mutual funds!) A = final amount P = beginning amount r = interest rate NOT in % form t = time (years)

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8.8 Exponential Growth and Decay Exponential Growth –Modeled with the function: y = a b x for a > 0 and b > 1. y = a b x a = the starting amount (when.

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