Let f (x) = max{0, 1 − x}. Sketch the function f . Then find interpolating polynomials p of degrees 2, 4, 8, 16, and 32 to f on the interval [−4, 4], using equally spaced nodes. Print out the discrepancy f (x) − p(x) at 128 equally spaced points. Then redo the problem using Chebyshev nodes.
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