- #1
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The extreme value theorem says that if a function is continuous on a closed interval then there are an absolute max and min on that interval. This means that the function can only be defined on this interval because if it existed outside this interval then the absolute extrema on the interval would just be relative extrema. Am I right here or a little confused?
Second Question:
Relative extrema are found on open intervals made from part of a bigger function right? This means that the function must exist outside the interval because the extrema are relative. Again, am I right hear or just confused.
Tanks alot
Second Question:
Relative extrema are found on open intervals made from part of a bigger function right? This means that the function must exist outside the interval because the extrema are relative. Again, am I right hear or just confused.
Tanks alot