Originally Posted by

**jnava** Hi, I am working on the following problem and need some assistance:

For what range of values of x will the computed value of f(x) given below have large relative error? Assume 0 $\displaystyle \le$ x $\displaystyle \le$ 100

f(x) = 10 - $\displaystyle \sqrt{(100-x)}$

I know that catastrophic error can occur when subtracting two numbers of similar magnitude, so in our case would we present the most relative error when x is equal to 0 and 100? Or do I need a wider range of numbers?

Thanks