Problem

Problem

Let f(x)=ln⁡(2x−x2)+sin⁡πx2f(x) = \ln(2x - x^2) + \sin \frac{\pi x}{2} . Then, a. graph of ff is symmetrical about the line x=1x = 1 b. graph of ff is symmetrical about the line x=2x = 2 c. maximum value of ff is 1 d. minimum value of ff does not exist

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