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Minimum value on an open continuous function
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[QUOTE="Office_Shredder, post: 4521825, member: 53426"] A good way to think about these problems is that you have a couple different regions: if x is close to a, or close to b, then you know f(x) is really big. If f is not close to either of those, all you really know is that f is continuous. So you need to use something (probably a theorem) involving the continuity of f to make a statement about f in this region that I have vaguely described as "not close to a or b". You of course should make that description mathematically more precise first! [/QUOTE]
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Minimum value on an open continuous function
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