Absolute Value and Continuity of Functions
Date: 09/15/2004 at 01:12:06 From: Myrtle Subject: (no subject) I know that the absolute value of a continuous function is also continuous. Is the opposite true? That is, if the absolute value of a function is continuous, is the function continuous? If not always true, can you give me a counter-example?
Date: 09/15/2004 at 02:03:44 From: Doctor Luis Subject: Re: continuous absolute value of discontinuous function Hi Myrtle, Here's an example: http://mathforum.org/dr.math/gifs/myrtle9.14.04.jpg The answer should be clear now :-) Let us know if you have any more questions. - Doctor Luis, The Math Forum http://mathforum.org/dr.math/
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