How do you find the end behavior of #y= -1/(x^3+2)#?
A pragmatic answer is to try substituting large positive and negative values for
For example, if we substitute
... a small positive number.
If we substitute
... a small negative number.
We can reasonably deduce that
Notice how the
If you have a polynomial factor you can usually ignore the lower order terms when evaluating end behaviour. The exceptions are when you have multiple terms that cause the high order terms to cancel out, leaving the lower order ones to dominate.