\begin{frame} \frametitle{Maximum and Minimum Values} \extremevalue \medskip\pause \begin{exampleblock}{} \begin{minipage}{.6\textwidth} \begin{center} \scalebox{.6}{ \begin{tikzpicture}[default,baseline=1cm] \diagram{-.5}{8}{-.5}{4}{1} \diagramannotatey{1,2,3} \diagramannotatex{1,2,3,4,5,6,7} \diagramannotatez \begin{scope}[cgreen,ultra thick] %\draw plot[smooth,domain=-1:4,samples=200] function{(3*x**4 - 16*x**3 + 18*x**2)/15}; \draw (1,2) to[out=45,in=180] (3,3) to[out=0,in=135] (6,1); \node[include] at (1,2) {}; \node[include] at (6,1) {}; \end{scope} \end{tikzpicture} } \end{center} \end{minipage} \begin{minipage}{.39\textwidth} \pause Continuous on $[1,6]$. \pause\bigskip Absolute minimum:\\\pause $f(6) = 1$ \pause\bigskip Absolute maximum:\\\pause $f(3) = 3$ \end{minipage} \end{exampleblock} \end{frame}