\begin{frame}
  \frametitle{Curve Sketching}

  \begin{block}{}
  For sketching a curve of $f(x)$:
  \begin{itemize}
  \pause
    \item determine the \emph{domain}
  \pause
    \item find the \emph{$y$-intercept} $f(0)$ and the \emph{$x$-intercepts} $f(x) = 0$
  \pause
    \item find \emph{vertical asymptotes $x = a$}, that is:\vspace{-1ex}
      \begin{talign}
        \lim_{x\to a^-} = \pm\infty &&\text{ or }&& \lim_{x\to a^+} = \pm\infty
      \end{talign} \vspace{-2ex}
  \pause
    \item find \emph{horizontal asymptotes $y = L$}, that is:\vspace{-1ex}
      \begin{talign}
        \lim_{x\to \infty} = L &&\text{ or }&& \lim_{x\to -\infty} = L
      \end{talign} \vspace{-2ex}
  \pause
    \item find intervals of \emph{increase} $f'(x) > 0$ and \emph{decrease} $f'(x) < 0$
  \pause
    \item find \emph{local maxima and minima}
  \pause
    \item determine \emph{concavity} on intervals and \emph{points of inflection}
      \begin{itemize}
        \item $f''(x) > 0$ concave upward
        \item $f''(x) < 0$ concave downward
        \item inflections points where $f''(x)$ changes the sign
      \end{itemize}
  \end{itemize}
  \end{block}
\end{frame}