Circles and Hyperbolas, SMB-009 Sketch the graph of `y=4/(x-3)`. (3 marks) --- 0 WORK AREA LINES (style=lined) --- Show Answers Only Show Worked Solution `text{Vertical asymptote at}\ \ x=3` `text{As}\ \ x->oo, \ y->0` `text{Horizontal asymptote at}\ \ y=0` \begin{array} {|l|c|c|c|c|c|c|} \hline \rule{0pt}{2.5ex}\ \ x\ \ \rule[-1ex]{0pt}{0pt} & -1 & \ \ 0\ \ & \ \ 2\ \ & \ \ 4\ \ & \ \ 5\ \ \\ \hline \rule{0pt}{2.5ex}\ \ \ y\ \ \rule[-1ex]{0pt}{0pt} & -1 & -\frac{4}{3} & -4 & 4 & 2\\ \hline \end{array}