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What is the range of the function$$G(x) = |x+1|-|x-1|~?$$Express your answer in interval notation.s

 

Help would be much appreciated.

 Aug 4, 2023
edited by IMVERYBADATMATHHELP  Aug 4, 2023
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Note that when x  is any negative.....the expression will evaliuate to all values on  [ -2, 0)

 

When x = 0   the function evaluates to  0

 

When x is any positive.....the function evaluates to all values on  (0, 2]

 

This graph is continuous for all x

 

So  the range is  [ -2, 2 ]

 

Here's a graph :

 

cool cool cool

 Aug 4, 2023

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