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MATH 1300.03F D Quiz 7 Friday, November, 5 1999

NAME:

Student Number:tex2html_wrap_inline72 No.tex2html_wrap_inline74Marks tex2html_wrap_inline76


(20 Marks) Find all the asymptotes for tex2html_wrap_inline78.

Solution: tex2html_wrap_inline80 and


eqnarray37

Hence, y=ax+b=x+1 is an asymptote.

(By long division, we have tex2html_wrap_inline84 and tex2html_wrap_inline86. Hence, y=x+1 is an asymptote).

Let tex2html_wrap_inline90. Then x=4 and x=-3. Moreover, we have
displaymath96

displaymath98

Hence, x=-3 and x=4 are vertical asymptotes.




Kunquan Lan
Fri Nov 5 11:43:44 EST 1999