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# If f is continuous for all x and y and has two relative minima then f must have at least one relative maximum?

Updated: 12/19/2022

Wiki User

14y ago

Yes.

If you find 2 relative minima and the function is continuous, there must be exactly one point between these minima with the highest value in that interval. This point is a relative maxima.

Think of temperature for example (it is continuous).

Wiki User

14y ago

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Q: If f is continuous for all x and y and has two relative minima then f must have at least one relative maximum?
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