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Sketch a Continuous Curve Having the Following Properties \infty ,0) and F '(X) < 0 for (0,

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Sketch a continuous curve having the following properties.
f(0) = 1, f(-1) = f(1) = 0; f '(x) > 0 for (- \infty ,0) and f '(x) < 0 for (0, + \infty ), f'(x) < 0 for (- \infty , + \infty ).  Sketch a continuous curve having the following properties. f(0) = 1, f(-1) = f(1) = 0; f '(x) > 0 for (- \infty ,0) and f '(x) < 0 for (0, + \infty ), f'(x) < 0 for (- \infty , + \infty ).


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