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  • 22-02-2018
  • Mathematics
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What are the asymptotes of the graph of f(x) ?

What are the asymptotes of the graph of fx class=

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sqdancefan
sqdancefan sqdancefan
  • 22-02-2018
When in doubt, graph it.

The 3rd and 4th choices are appropriate.

_____
This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.
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