SOLUTION: Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case

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Question 48861: Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, exponential decay and exponential growth exists.
Exponential Decay
f%28x%29+=+a%28b%5Ex%29 where 0+%3C+b+%3C+1
ex.) f%28x%29+=+2%281%2F2%29%5Ex
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C2%281%2F2%29%5Ex%29
Exponential Growth
f%28x%29+=+a%28b%5Ex%29 where b+%3E+1
ex.) f%28x%29+=+2%282%29%5Ex
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C2%282%29%5Ex%29