SOLUTION: what is the range of f(x)=x/|x|

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Question 1003970: what is the range of f(x)=x/|x|
Found 3 solutions by rothauserc, Edwin McCravy, AnlytcPhil:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we assume that f is a function from the real numbers to the real numbers, then
the range of f is + or - 1, which is [-1, 1]
here is the graph of f
+graph%28+300%2C+200%2C+-12%2C+12%2C+-1%2C+1%2C+x+%2F+abs%28x%29%29+

Answer by Edwin McCravy(20060) About Me  (Show Source):
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
The above answer "[-1,1]" is wrong because that means the
closed interval from -1 to 1. The correct answer is 

{-1,1}

Put braces, { }, around it, not brackets, to indicate that 
the range contains only and exactly two elements.  

The equation:

f%28x%29=x%2Fabs%28x%29

has this graph



domain = 

range = {-1,1}

Edwin