\begin{frame}
  \frametitle{Functions: Examples}
  
  \begin{exampleblock}{}
    What is the domain and range of $f(x) = \sqrt{x+2}$?
    \begin{itemize}
      \item domain $=\pause \{x \mid x \ge -2\} = [-2,\infty)$
      \item range $=\pause \{y \mid y \ge 0\} = [0,\infty)$
    \end{itemize}
  \end{exampleblock}
  \pause\bigskip
  
  \begin{exampleblock}{}
    What is the domain of $g(x) = \frac{1}{x^2- x}$?
    \pause
    \begin{align*}
      g(x) = \frac{1}{x^2- x} = \onslide<6->{\frac{1}{x(x- 1)}}
    \end{align*}
    \pause\pause
    Thus $g(x)$ is \emph{not} defined if \pause $x= 0$ or $x=1$. \pause
    The domain is \pause
    \begin{align*}
      \{x \mid x\ne 0,\; x\ne 1\}
    \end{align*}
    \pause
    which can also be written as
    \begin{align*}
      (-\infty,0) \cup (0,1) \cup (1,\infty)
    \end{align*}
  \end{exampleblock}
\end{frame}