\begin{frame}
  \frametitle{Exponential Functions vs. Power Functions}

  \begin{exampleblock}{}
    Which functions grows quicker when $x$ is large:
    \begin{talign}
      f(x) &= x^2 & g(x) = 2^x
    \end{talign}
  \end{exampleblock}
  \bigskip\pause
  
  \begin{minipage}{.49\textwidth}
  \scalebox{.6}{
  \begin{tikzpicture}[default,baseline=0cm,xscale=1,yscale=.15,nodes={scale=.9}]
    {\def\diaborderx{1cm}
     \def\diabordery{3cm}
     \diagram[5]{-0.5}{6}{-.5}{40}{1}
    }
    \diagramannotatez
    \diagramannotatex{5}
    \diagramannotatey{10,20,30}
    \begin{scope}[ultra thick]
    \draw[cblue] plot[smooth,domain=-0.5:5.31,samples=100] (\x,{2^\x}) node[above] {$2^x$};
    \draw[cgreen] plot[smooth,domain=-0.5:6,samples=100] (\x,{\x^2}) node[above] {$x^2$};
    \end{scope}
  \end{tikzpicture}
  }
  \end{minipage}\pause
  \begin{minipage}{.49\textwidth}
  \scalebox{.6}{
  \begin{tikzpicture}[default,baseline=0cm,xscale=.7,yscale=.015,nodes={scale=.9}]
    {\def\diaborderx{1.2cm}
     \def\diabordery{35cm}
     \diagram[50]{-0.5}{10}{-.5}{400}{1}
    }
    \diagramannotatez
    \diagramannotatex{2,4,6,8}
    \diagramannotatey{100,200,300}
    \begin{scope}[ultra thick]
    \draw[cblue] plot[smooth,domain=-0:8.65,samples=100] (\x,{2^\x}) node[above] {$2^x$};
    \draw[cgreen] plot[smooth,domain=-0:10,samples=100] (\x,{\x^2}) node[above] {$x^2$};
    \end{scope}
  \end{tikzpicture}
  }
  \end{minipage}
  \pause\bigskip
  
  For large $x$, the function $2^x$ grows much much faster than $x^2$.
\end{frame}