\begin{frame} \frametitle{Symmetry} \begin{exampleblock}{} How to remember what is even and odd? \end{exampleblock} \bigskip\pause \begin{minipage}{.49\textwidth} \begin{center} {\small $x^2$}\scalebox{.5}{ \begin{tikzpicture}[default,baseline=1cm] \diagram{-2}{2}{-1}{3}{1} \diagramannotatez \diagramannotatex{-1,1} \diagramannotatey{-1,1} \draw[cred,ultra thick] plot[smooth,domain=-1.75:1.75,samples=20] (\x,{pow(\x,2)}); \end{tikzpicture} } \end{center} \end{minipage} \begin{minipage}{.49\textwidth} \begin{center} {\small $x^4$}\scalebox{.5}{ \begin{tikzpicture}[default,baseline=1cm] \diagram{-2}{2}{-1}{3}{1} \diagramannotatez \diagramannotatex{-1,1} \diagramannotatey{-1,1} \draw[cred,ultra thick] plot[smooth,domain=-1.32:1.32,samples=20] (\x,{pow(\x,4)}); \end{tikzpicture} } \end{center} \end{minipage} \medskip \begin{minipage}{.49\textwidth} \begin{center} {\small $x^3$}\scalebox{.5}{ \begin{tikzpicture}[default,baseline=0ex] \diagram{-2}{2}{-2}{2}{1} \diagramannotatez \diagramannotatex{-1,1} \diagramannotatey{-1,1} \draw[cblue,ultra thick] plot[smooth,domain=-1.27:1.27,samples=20] (\x,{pow(\x,3)}); \end{tikzpicture} } \end{center} \end{minipage} \begin{minipage}{.49\textwidth} \begin{center} {\small $x^5$}\scalebox{.5}{ \begin{tikzpicture}[default,baseline=0ex] \diagram{-2}{2}{-2}{2}{1} \diagramannotatez \diagramannotatex{-1,1} \diagramannotatey{-1,1} \draw[cblue,ultra thick] plot[smooth,domain=-1.15:1.15,samples=20] (\x,{pow(\x,5)}); \end{tikzpicture} } \end{center} \end{minipage} \begin{exampleblock}{} Thick of \emph{power functions $x^n$} with $n$ a natural number: \begin{itemize} \item $x^n$ is even if $n$ is even \item $x^n$ is odd if $n$ is odd \end{itemize} \end{exampleblock} \end{frame}