What Is the Condition Number of This Piecewise Function?

[chuy52506]

Say i have the following function:
f(x)= {-45 , x<0.5
45 , x≥0.5}
where x\in R is a real variable in [0,1]. What would the condition number k(x) be for all values of x?

 

[HallsofIvy]

First, do not post the same question more than once. I have deleted your post in "general mathematics".

Second, a function, by itself, does NOT have a "condition number". The condition number depends on the function and on what you are trying to do with it. What are you trying to do with this function?

 

[chuy52506]

sorry about that
Im trying to find the condition number k(x) for all values of x. I know the problem depends on the fact that x\in \Re is a real variable opposed to an integer variable but I have no idea how to do it

 

[chuy52506]

is it possible for the condition number to be 0? I have a formula defining k as being:
||J||/(||f(x)||/||x||) where J is the jacobian of f.
So in this case the jacobian would be 0 and thus k=0?