Math Is Fun Forum

gsyne

Member

Registered: 2009-07-04

Posts: 1

Help with formula closer you get to 0 higher the number reaches 30

Hello I need to get a formula where when x gets closer to 0 y becomes closer to 30. This might be somewhat of an exponential growth? I need y to be far away from 30 until x gets really close to 0, then y begins to rise a lot more.
The highest x will ever be is around 4600 if that helps.

Thanks in advance.

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: Help with formula closer you get to 0 higher the number reaches 30

If you just need a palse at x=0, there is a quasi-function called delta function which might be a good candidate but you need to multiply it by 30. If you think it doesn't look like a function, erf (error function) might be of help. You just need to set the sigma really small and it behaves like a palse.

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X'(y-Xβ)=0

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: Help with formula closer you get to 0 higher the number reaches 30

The function:

Will have the required behavior as well.  Check it out:

Plot of Sin(x)^100/x^100

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."