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Original Message (ID '75984') By jf:
Plot samples points in the domain and tries to make a curve out of it. For tens of sample points, Plot[(Sin[t]), {t, -30, 10000}] is going to oscillate so many times that the sampled points have nearly random y values. If you sample at more points, Plot[(Sin[t]), {t, -30, 10000}, PlotPoints->1000] then a finite-width curve will make a blue rectangle. Do you want to view the curve at high x values? Plot[(Sin[t]), {t, 10000-30, 10000} ]