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Name: \hrulefill & & Math 1441 Quiz 1 \\[0.2cm]
\hspace{8cm} & & 
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\textbf{1.} (16 pts) Determine the domain of the function.
\begin{flalign*}
&(1)\ \frac{1}{3x-2}
&(2)\ \frac{x}{x^2-2x-3}\hspace{5cm}
\end{flalign*}\\[4.5cm]

\begin{flalign*}
&(3)\ \sqrt{x-1}
&(4)\ \sqrt{4-x^2}\hspace{5.7cm}
\end{flalign*}\\[4.5cm]

\textbf{2.} (4 pts) Find an equation for the line that passes through the point $(2,4)$ and has slope 4. \\ Find the $y$-intercept of the line. 

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