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Sketch a Continuous Curve Having the Following Properties

Question 190

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Sketch a continuous curve having the following properties.
f(-4) = 12, f(0) = 6, f(4) = 0, f '(x) > 0 for |x| > 4,
f'(-4) = f '(4) = 0, f '(x) < 0 for x < 0, f '(x) > 0 for x > 0. Sketch a continuous curve having the following properties. f(-4) = 12, f(0) = 6, f(4) = 0, f '(x) > 0 for |x| > 4, f'(-4) = f '(4) = 0, f '(x) < 0 for x < 0, f '(x) > 0 for x > 0.

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