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\begin{frame}
\frametitle{Polynomials of Degree 1: Linear Functions}

\begin{block}{}
A polynomial of degree $1$ is a \emph{linear function}:\vspace{-.5ex}
\begin{talign}
f(x) = mx + b
\end{talign}\vspace{-3ex}
\end{block}

\begin{center}
\scalebox{.6}{
\begin{tikzpicture}[default]
\diagram{-2}{4}{-2}{4}{1}
\diagramannotatez
\diagramannotatex{-1,1,2,3}
\diagramannotatey{-1,1,2,3}
\draw[cblue,ultra thick] plot[smooth,domain=-2:4,samples=20] (\x,{.5*\x - 1}) node[right] {$f$};
\draw[cgreen,ultra thick] plot[smooth,domain=-1.5:1.5,samples=20] (\x,{2*\x +1}) node[right] {$g$};
\draw[cred,ultra thick] plot[smooth,domain=-2:4,samples=20] (\x,{-.25*\x +3}) node[right] {$h$};
\end{tikzpicture}
}
\end{center}\vspace{-1ex}\pause
\begin{exampleblock}{}
Find equations for the functions $f$, $g$ and $h$:
\begin{itemize}
\pause
\item for $f$: \pause $f(x) = \frac{1}{2}x-1$
\item for $g$: \pause $f(x) = 2x+1$
\item for $h$: \pause $f(x) = -\frac{1}{4}x+3$
\end{itemize}
\end{exampleblock}
\end{frame}