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Linear function problem

Name: Anonymous 2006-11-11 13:06

Can anybody give me an example of a function with the properties f(x+1)<f(x) and f(0)=1

Name: Anonymous 2006-11-11 15:38

f(x)=2^((-(x^2))*x)

You can graph it here to see:
http://www.walterzorn.com/grapher/grapher_e.htm

The x is squared to convert any negative x to a positive value.
The negative is applied so that the power will be smaller for increasing x.
The exponent has *x so that if x is zero, the exponent is zero, and the power works out to one.

Name: Anonymous 2006-11-11 15:44

er, I just figured out that my last comment above about *x shouldn't be that *x makes the exponent zero when x is zero, because it would be zero anyway.  What it does do is ensure the value of the function decreases for increasing x, regardless if x is negative or not.

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