\begin{frame} \frametitle{Curve Sketching} \begin{exampleblock}{} Sketch the curve of $f(x) = \frac{2x^2}{x^2-1}$.\vspace{-1ex} \begin{center} \scalebox{.8}{ \begin{tikzpicture}[default,baseline=1cm] \diagram{-5}{5}{-3}{5}{1} \diagramannotatey{-3,-2,-1,1,2,3} \diagramannotatex{-3,-2,-1,1,2,3} \diagramannotatez \pause \node[include=cgreen] at (0,0) {}; \pause \draw[dashed,gray] (-1,-3) -- (-1,5); \draw[dashed,gray] (1,-3) -- (1,5); \pause \draw[dashed,gray] (-5,2) -- (5,2); \begin{scope}[ultra thick] \pause \draw[cgreen,ultra thick] plot[smooth,domain=-5:-1.3,samples=200] function{2*x**2/(x**2 - 1)}; \pause \draw[cgreen,ultra thick] plot[smooth,domain=-0.77:0,samples=200] function{2*x**2/(x**2 - 1)}; \pause \draw[cgreen,ultra thick] plot[smooth,domain=0:0.77,samples=200] function{2*x**2/(x**2 - 1)}; \pause \draw[cgreen,ultra thick] plot[smooth,domain=1.3:5,samples=200] function{2*x**2/(x**2 - 1)}; \end{scope} \end{tikzpicture} } \end{center} \end{exampleblock} \end{frame}