\begin{frame} \frametitle{Functions: Examples} \begin{center} \scalebox{.7}{ \begin{tikzpicture}[default] \diagram{-.5}{5.5}{-.5}{5.5}{1} \diagramannotatez \diagramannotatexx{1,2,3,4} \diagramannotateyy{1,2,3,4} \draw[cblue,ultra thick] plot[smooth,domain=1:4,samples=20] (\x,{2 + 2*\x - 1*(\x-1)^2}); \end{tikzpicture} } \end{center} \vspace{-1ex} \begin{exampleblock}{} What is $f(3)$? \begin{itemize} \item $f(3) = \pause 4$ \end{itemize} \pause What is the domain and range of this function? \begin{itemize} \item domain $= \pause \{x \mid 1 \le x \le 4\} = [1,4]$ \item range $= \pause \{y \mid 1 \le x \le 5\} = [1,5]$ \end{itemize} \end{exampleblock} \end{frame}