Presentation is loading. Please wait.

Presentation is loading. Please wait.

E. Exponential Growth or Decay? Growth Decay Growth.

Similar presentations


Presentation on theme: "E. Exponential Growth or Decay? Growth Decay Growth."— Presentation transcript:

1 e

2 Exponential Growth or Decay? Growth Decay Growth

3 Exponential Growth or Decay? We need to know what e is…. e is number discovered by Euler. e = …. 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: Well, since e is just a number /base all of these rules apply for e

5 =8e 2

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

7 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

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)


Download ppt "E. Exponential Growth or Decay? Growth Decay Growth."

Similar presentations


Ads by Google