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I'm trying to come up with a function, but I have no idea how.

Here's my idea of f(x):

f(5000) = 0.07

f(1000) = 0.25

f(900) = 0.28

f(700) = 0.3

f(500) = 0.5

f(200) = 0.8

f(100) = 0.9

f(50) = 0.97

f(1) = 0.99

f(0.5) = 0.999

where 0 < f(x) < 1

as f(x) approaches 0/1, the change becomes less and less noticeable, and becomes closer and closer to 0/1 but never become 0/1.

Thanks!

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# Please help me come up with a function

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