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1. • CommentRowNumber1.
   • CommentAuthorTobyBartels
   • CommentTimeNov 25th 2009
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   Author: TobyBartels
   Format: MarkdownI mentioned the [[intermediate value theorem]] at [[pentagon decagon hexagon identity]] and then began an article on it.

   I mentioned the intermediate value theorem at pentagon decagon hexagon identity and then began an article on it.

2. • CommentRowNumber2.
   • CommentAuthorColin Tan
   • CommentTimeDec 26th 2013
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   Author: Colin Tan
   Format: TextI notice that Theorem 2 already implies that there some c of the unit interval such that f(c) is strictly between -1 and 1. Although we may not be able to construct all values between -1 and 1 to lie in the image of f, at least we can construct one value.

   I notice that Theorem 2 already implies that there some c of the unit interval such that f(c) is strictly between -1 and 1. Although we may not be able to construct all values between -1 and 1 to lie in the image of f, at least we can construct one value.
3. • CommentRowNumber3.
   • CommentAuthorTobyBartels
   • CommentTimeDec 28th 2013
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   Author: TobyBartels
   Format: MarkdownItexRight, and more specifically we can construct a $c$ whose value is as close as we like (within $\epsilon$) of our desired value.

   Right, and more specifically we can construct a $c$ whose value is as close as we like (within $\epsilon$) of our desired value.