Consider evaluation of a function y = f(x). Suppose that f(x + e) = y + sigma, with e/x < 1, d/y < 1, and (8/y)/(e/x)| 1, for all values of interest. Suppose also that when f is evaluated using a numerical algorithm alg, alg(x) = f(r+A) with A/r>1. (a) Is this a well or ill-condition problem? (b) Is the algorithm stable or unstable? (c) What is the approximate condition number for this problem? Give reasons for your answers.