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HELP!! Trouble creating a shape

Hi. I need help to figure out if it is possible to create a 3D shape that looks like the part of the equation y =-2^1/x  located in quadrant II on a graph rotated 360 degrees around the y axis.It looks like an upside down funnel. I am not good writing script to create this shape and was wondering if there is any possible way to create it and if there is any insight on writing script for that shape. Thanks! 

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