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# Stationary Points Question watch

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1. (Original post by AntiMagicMan)
I believe I gave an example, earlier y = x^2, where the global minimum is 0 at (0, 0)

There are functions that exhibit global maxima and minima such as sine and cosine.
Yeah, f(x) = x² has a global minimum at the origin, f(x) = -x² has a global maximum there...sine and cosine don't have unique global maxima and minima, unless you define them within a specific range.
2. Does a global maxima have to be unique? I thought it would be fine to say that it has many global maxima, ah well, I guess it depends on how it is defined.

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