find the Range

Geometry Level pending

What is the maximum value of f ( x ) = 4 sin ⁡ 4 x − sin ⁡ 2 2 x f(x) = 4\sin^4 x - \sin^2 2x for all real x x ?


The answer is 4.

Aly Ahmed by Aly Ahmed , 34, Egypt

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1 solution

Siva Bathula
Oct 17, 2016

The correct range is -0.5 to 4.

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Calvin Lin Staff - 4 years, 7 months ago

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@Calvin Lin I have found so many errors and made so many reports off late that, I thought I am gaining some negative reputation, so I let it pass.

Siva Bathula - 4 years, 7 months ago

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There is no negative reputation. Reports are especially helpful in fixing problems that are written up by the community.

Calvin Lin Staff - 4 years, 7 months ago

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@Calvin Lin – Yeah but still there have been too many off-late, maybe I need to go back to solving archives, instead of solving lately posted problems.

Siva Bathula - 4 years, 7 months ago

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@Siva Bathula – Don't worry about it. We understand that recently posted problems are much more likely to have issues with them, which is why we appreciate the effort from the community to help us improve the expereince :)

Calvin Lin Staff - 4 years, 7 months ago

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