SOLUTION: Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and
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Question 618084: Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and give an example of each type of function.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
1. Always positive
2. Asymptotic to the x-axis
3. Gets big very fast
4. \ =\ ab^{\frac{t}{\tau}})
has an )
intercept at )
Exponential growth:
and 
. Starts very small at a large magnitude negative number, passes through , and then quickly increases without bound.
Exponential decay:
and 
. Starts very large on the left of the 
-axis, decreases until it passes through , and then then decreases until asymptotic to the positive 
-axis.
John
My calculator said it, I believe it, that settles it
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