Question: x+2 Consider the problem of evaluating the function f(x) = x+3 , in particular, the propagated data error, i.e., the error in the function value

 x+2 Consider the problem of evaluating the function f(x) = x+3

x+2 Consider the problem of evaluating the function f(x) = x+3 , in particular, the propagated data error, i.e., the error in the function value due to a perturbation h in argument x. Show your calculations for the following questions for particular values of x and h of your choice. a) Estimate the absolute error in evaluating f(x). b) Estimate the relative error in evaluating f(x). I c) What is the condition number of f(x) as a function of x? d) Give a value of x for which the function f(x) is well-conditioned. e) For what values of argument x is this problem highly sensitive

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