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| Question 739552:  How do i know how to graph this equation:
 f(x)= { 2x-1  -2 = x = 1
 3-x    1 = x = 4
 Answer by KMST(5328)
      (Show Source): 
You can put this solution on YOUR website! There is a typo somewhere in your piecewise function. 
  for  means 
  and 
  The other piece of the function, defined as
 
  for  would mean 
  and 
  The problem is that as written, we would have
 
  for one piece and  for the other piece, and that cannot be. A function cannot be defined in such a way that two different
  values correspond to the same  value. Unless the typo is somewhere else, one of the pieces of the function has to let go of
  
 The graph of
 
  is  The points (-2,-5), (1,1), and (4,-1) are part of the function and are shown as solid points in the graph. The point (1,2) is not part of the function and is drawn as an unfilled circle to show that is not part of the graph.
 The line segment connecting (-2,-5) and (1,1) and both of its ends are the graph of
  for  The line segment connecting (1,2) and (4,-1), along with point (4,-1) are the graph of
  for  
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