# Condition number of a function

1. ### chuy52506

77
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?

2. ### HallsofIvy

40,241
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?

3. ### chuy52506

77
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

4. ### chuy52506

77
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?

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