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Circles and Hyperbolas, SMB-009

Sketch the graph of  `y=4/(x-3)`.  (3 marks)

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`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}

 

Filed Under: Circles and Hyperbola Tagged With: num-title-ct-pathc, smc-4445-30-Hyperbola

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