document.write( "Question 1117791: Hi there, how would you find the range of y=absx/x ?\r
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Algebra.Com's Answer #732931 by ikleyn(53763) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Concretely for  f(x) = ,  this function takes only TWO values:\r\n" );
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document.write( "    if  x > 0,  then |x| = x, and therefore  f(x) =  = 1.\r\n" );
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document.write( "    if  x = 0,  then the function f(x) is NOT DEFINED.\r\n" );
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document.write( "    if  x < 0,  then |x| = -x,  hence  f(x) =  = -1.\r\n" );
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document.write( "So, the range of this function is the set of the two values  {-1,1},  while its domain is the set of all real numbers except of {0}.\r\n" );
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