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Finding an image under a given transformation

  1. Nov 14, 2012 #1
    My question is in the paint document.
    And I think I know the answer to my question. I asked why cant I let v = 1 then my first first region transformation would

    the line y = b between -a≤x≤a.

    The reason I think I can't do this is because the end point v = 1 is a point and not a line segment...
     

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  3. Nov 14, 2012 #2

    LCKurtz

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    The graph is bounded by the rectangle ##|u|,|v|\le 1## but it isn't that rectangle. It is just contained in it. And the other graph is contained in the image of that rectangle, which is ##|x|\le a,|y|\le b##.
     
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