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Well if you do come back I will give you an example to think about:
Say we want to graph this:
so for every x less than -1 (not including) we will have the output is 5
I will draw that one little piece right now:|dw:1437756859605:dw|
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now we draw the piece between -1 and 4
which is a parabola
at x=-1 we have (-1)^2=1
at x=4 we have (4)^2=16
except we will draw open circles at these numbers to show we aren't really going to include them
not the best looking parabola but I think you get the idea
now for x>4
we have a line y=-x+1
well at x=4 we have y=-4+1=-3
again we will draw an open circle since we do not have 4 is included
we know 4 isn't include because of the lack of equal sign in x>4
so anyways at x=5 we have y=-5+1=-4
so plotting these two points and connecting the dots extending the line in the direction to the right forever and ever since we do have y=-x+1 for x>4 |dw:1437757132030:dw|
the final graph should look like this