Effect of y² and 1/y on oblique asymptotes

  • #1
Hi everyone. If I have a y= graph and I do a transformation of either 1/y or y², the oblique asymptotes will disappear as they are no longer 'oblique'. Is that correct.

A simple yes or no would suffice.

Enjoy your day.
Thanks.
 

Answers and Replies

  • #2
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I don't unterstand the question. I suppose what you mean with an 'y=' graph is a graph of of y = f(x). What is a transformation of 1/y ?
 
  • #3
Effect of a oblique asymptote on the y=f(x) graph tranformed into 1/f(x) graph and y² graph. I assume the oblique asymptotes will be gone. Will someone confirm?
 
  • #4
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291
to get an oblique asymptote on the right, you must have [tex] \lim_{x->+\infty} \frac {f(x)} {x} = C [/tex] for some constant C>0.

Is this still possible if you replace f(x) with 1/f(x) or [itex] \sqrt{f(x)} [/itex] ?
 

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