Question: Consider the function f(x)1-in z (a) (2 points) Is f(x) well-conditioned or ill-conditioned for values of x close to ? IS f (x) well-conditioned or

 Consider the function f(x)1-in z (a) (2 points) Is f(x) well-conditioned

Consider the function f(x)1-in z (a) (2 points) Is f(x) well-conditioned or ill-conditioned for values of x close to ? IS f (x) well-conditioned or ill-conditioned for values of x close to 0.5? To answer this, do the following. Consider the condition number x f'(a)/f(), and evaluate this for 1.56 and x 0.51 (b) (2 points) What is the relative error in these two cases? Briefly explain how you interpret the condition number to arrive at your conclusions

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