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Sketch a Continuous Curve Having the Following Properties

Question 232

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Sketch a continuous curve having the following properties.
f(-5) = 10, f(0) = 5, f(5) = 0, f'(x) > 0 for |x| > 5,
f'(-5) = f'(5) = 0, f'(x) < 0 for x < 0, f'(x) > 0 for x > 0. Sketch a continuous curve having the following properties. f(-5) = 10, f(0) = 5, f(5) = 0, f'(x) > 0 for |x| > 5, f'(-5) = f'(5) = 0, f'(x) < 0 for x < 0, f'(x) > 0 for x > 0.

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