SOLUTION: How do i know how to graph this equation: f(x)= { 2x-1 -2 </= x </= 1 3-x 1 </= x </= 4

Question 739552: How do i know how to graph this equation:
f(x)= { 2x-1 -2 3-x 1
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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