exercise:Dde9f58eb5: Difference between revisions

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Consider the continuous real-valued function </math>f(x) = x<math> with domain
Consider the continuous real-valued function <math>f(x) = x</math> with domain
</math>0  <  x  <  1<math>.  Does this function have an absolute maximum point
<math>0  <  x  <  1</math>.  Does this function have an absolute maximum point
or an absolute minimum point?
or an absolute minimum point? Why is this function not a counterexample to [[guide:4fa8e5a0a7#thm 2.2.4 |Theorem]]?
Why is this function not a counterexample to [[guide:4fa8e5a0a7#thm 2.2.4 |Theorem]]?

Latest revision as of 23:48, 22 November 2024

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Consider the continuous real-valued function [math]f(x) = x[/math] with domain [math]0 \lt x \lt 1[/math]. Does this function have an absolute maximum point or an absolute minimum point? Why is this function not a counterexample to Theorem?