How Can I Use plot2d code for presence of singularities?



How about evaluating the expression in interval arithmetic and seeing if 
it is bounded or not.
If it is unbounded, bisect the range.  Etc.

Afterwards you can presumably  display the results as a plot if you wish.

Google for honest plotting.  Here's one link

http://130.203.133.150/viewdoc/summary;jsessionid=3172716CC6898F308446F22D27FA2C13?doi=10.1.1.45.4623