\begin{frame}
  \frametitle{1st Midterm Exam - Review}

  \begin{exampleblock}{}
    Express the domain of the function 
    \begin{talign}
      f(x) = \frac{x + \log (x+1) + \sqrt{5-x}}{x-2}
    \end{talign}
    as a union of intervals.
    \pause\medskip
    
    We analyze the parts:
    \begin{itemize}
    \pause
      \item $\log (x+1)$ is defined for \pause $x > -1$, thus $(-1,\infty)$
    \pause
      \item $\sqrt{5-x}$ is defined on $x \le 5$, thus $(-\infty,5]$
    \pause
      \item the fraction $\frac{\ldots}{x-2}$ is defined for \pause$x\ne 2$, thus $(-\infty,2) \cup (2,\infty)$ 
    \end{itemize}
    \pause\medskip
    
    \alert{The domain of $f$ is not: 
    \begin{talign}
      (-1,\infty) \cup (-\infty,5] \cup (-\infty,2) \cup (2,\infty) \mpause[1]{\quad=\quad (-\infty,\infty)}
    \end{talign}}
    \pause\pause
    The domain of $f$ is:
    \begin{talign}
      (-1,2) \cup (2,5]
    \end{talign}    
  \end{exampleblock}
\end{frame}