Explaining y=abs(x) as an Elementary Function

AI Thread Summary
The discussion centers on whether the function y=abs(x) qualifies as an elementary function. Participants express confusion over the definition of elementary functions, with some believing that y=|x| is not elementary. A suggestion is made to express the absolute value function in terms of squares and square roots, specifically noting that |a| can be represented as SQRT(a^2). The conversation references Wikipedia for further clarification on the absolute value function. Ultimately, the consensus leans toward y=abs(x) being classified as an elementary function.
trelek2
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I have looked up what an elementary function is but I'm still stuck with showing that
y=abs(x) is one.

Can anyone explain how to show this?
 
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What are you given for the definition of elementary function? Under the one I am familiar with, y=|x| is not.
 
Well, can't see how it is either. Its just that the problems says I have to show that it is.
I looked the definition up on wikipedia.


Maybe I'm supposed to write that it isn't?
 
I believe that f(x) = |x| is an elementary function. Hint: Express it in terms of squares and square roots.
 
cheers!
 
It is an elementary function. Think of it as |a| = SQRT(a^2)

Wiki gives a great little explanation on it, http://en.wikipedia.org/wiki/Absolute_value"
 
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