- #1
mikael27
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Homework Statement
Let f : [a; b] ! R be an arbitrary continuous function. Let S = {f(x)| a<= x<=b}. Show
that if S contains more than one element, then S is an interval of the form [c, d].
Hint: First apply the Extreme Value theorem, then the Intermediate Value theorem.
Homework Equations
The Attempt at a Solution
dont have any clue