## condition number of a function

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?

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 Recognitions: Gold Member Science Advisor Staff Emeritus 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?
 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

## condition number of a function

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?