A Level

MATHEMATICS · Multi correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let f(x)=ln⁡(2x−x2)+sin⁡(πx2)f(x)=\ln(2x-x^2)+\sin\left(\frac{\pi x}{2}\right). Then, (1) The graph of ff is symmetrical about the line x=1x=1. (2) The graph of ff is symmetrical about the line x=2x=2. (3) The maximum value of ff is 11. (4) The minimum value of ff does not exist.

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