\begin{frame}
  \frametitle{Slant Asymptotes}

  \begin{exampleblock}{}
    Sketch the graph of $f(x) = \frac{x^3}{2x^2+1}$.
    \vspace{-1ex}
    
    \begin{overlayarea}{\textwidth}{2cm}
    \begin{itemize}
      \only<1-3> { 
      \item $x$- and $y$-intercept: \quad $(0,0)$ 
      }
      \only<2-3> { 
      \item inflection points: $(-\sqrt{\frac{3}{2}},-\frac{3}{8}\sqrt{\frac{3}{2}})$, $(0,0)$ and $(\sqrt{\frac{3}{2}},\frac{3}{8}\sqrt{\frac{3}{2}})$
      }
      \only<3-3> { 
      \item slant asymptote: \quad $y = \frac{1}{2}x$
      }
      \only<4-> { 
      \item increasing on $(-\infty,\infty)$ and $f'(0) = 0$
      \item concave up on $(-\infty,-\sqrt{3/2})$ and $(0,\sqrt{3/2})$
      \item concave down on $(-\sqrt{3/2},0)$ and $(\sqrt{3/2},\infty)$
      }
    \end{itemize}
    \end{overlayarea}\vspace{-1ex}

    \begin{center}
    \scalebox{.7}{
    \begin{tikzpicture}[default,baseline=1cm,yscale=1.75]
      {\def\diabordery{.25cm}
      \diagram{-4}{4}{-2}{2}{1}}
      \diagramannotatez
      \diagramannotatex{-2,-1,1,2}
      \diagramannotatey{-1,1}
      
      \node[include=cred,minimum size=3mm] at (0,0) {};
      \pause
      \node[include=cgreen] at ({-pow(3/2,.5)},{-3/8*pow(3/2,.5)}) {};
      \node[include=cgreen] at (0,0) {};
      \node[include=cgreen] at ({pow(3/2,.5)},{3/8*pow(3/2,.5)}) {};
      \pause
      \draw[red,dashed] (-4,-2) -- (4,2);
      \pause\pause
      \begin{scope}[ultra thick]
        \draw[cgreen,ultra thick] plot[smooth,domain=-4:0,samples=200] function{x**3/(2*x**2+1)};
        \pause
        \draw[cgreen,ultra thick] plot[smooth,domain=0:4,samples=200] function{x**3/(2*x**2+1)};
      \end{scope}
    \end{tikzpicture}
    }
    \end{center}
  \end{exampleblock}
  \vspace{10cm}  
\end{frame}