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Exponential Growth or Decay?

e. Exponential Growth or Decay?. Growth. Decay. Growth. Growth. 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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Exponential Growth or Decay?

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  1. e

  2. Exponential Growth or Decay? Growth Decay Growth Growth

  3. 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.

  4. Performing Mathematics with e Recall: ) ) ) ) ) ) )4 )4 ) ) Well, since e is just a number /base all of these rules apply for e

  5. =8e2

  6. Graphing e e follows all the rules of exponential growth and decay. Growth Decay f(x)= 2ex f(x)= 2e-x f(x)= 2 x f(x)= 2

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

  8. 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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