Compare the graphs of the inverse variations.?

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1 Answer
Alan P.
Sep 29, 2017

(see below)

Explanation:

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  1. #yrarr 0# as #xrarr+-oo# for both equations
  2. #yrarr+oo# as #xrarr0^-# and #yrarr-oo# as #xrarr+0# for both equations
  3. #color(red)(y=(-0.2)/x)# is closer to the origin than #color(green)(y=(-0.03)/x)# in the sense that a straight line drawn from the origin will intersect #color(red)(y=(-0.2)/x)# before intersecting #color(green)(y=(-0.3)/x)#
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