Thread: finding examples for functions

I wanted to find an example for a function that maintains the following conditions:
1. f(x)=? if all the following conditions are correct.
2. if all the following conditions are correct: f(x) is a function that defined in a split domain. I need to find examples for f(x);x>=0 and for f(x);x<0.

For the first one, one example is with being the delta function defined as



I'm not quite understanding what you're asking for in your second problem. A piecewise function that satisfies the limits provided is



Hopefully that's what you meant.

thanks for the second example! but in the first one I need a function that not defined in a split domain!!!
l

Originally Posted by omert

thanks for the second example! but in the first one I need a function that not defined in a split domain!!!
l

. You can find a million examples, all they need to do is fill three criterion: they are dominated by x as x goes to zero, they are even, and obviously the second criterion you set. Some other examples would be or