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\begin{document}
\noindent \textbf{NAME:}
\begin{center}
{\textbf{\Large Math 010 Fall 22 Mock Test 2}}
\end{center}
\begin{singlespacing}
\noindent \textbf{Directions:} Do all problems. Partial credit will be awarded. No notes/books/friends allowed. No question requires a calculator but you are welcome to use one. Do not use any decimals in your answers. Graphing calculators above the level of a TI - 84 Plus are not allowed (in particular, calculators with a built in CAS or QWERTY keyboard are not allowed).You have 50 minutes to complete this exam.\\
\textbf{REMEMBER TO SHOW ALL WORK}
\begin{enumerate}
\item (5 points)
Compute the mid point and the distance of these two points $(2,1)$ and $(6,4)$
\vspace{5cm}


\item (10 points) Determine if the relation is a function $(1,2),(2,5),(2,3),(4,9)$
\vspace{3cm}
\item (10 points) Determine if the picture below is a function.

\includegraphics[scale=.5]{x3.png}
\newpage

\item (5 points) Graph using a table and describe the shift from the parent function:

$f(x)=\sqrt{x-3}+2$
\vspace{5cm}

\item (5 points) Determine the domain and range of this function.

$f(x)=\sqrt{x-3}+2$
\vspace{4cm}



\item (10 points) Solve for x:
$6+3(5-3x)=-9(2x+1)+3$
\vspace{4cm}

\item (5 points) Graph $f(x)=2x-4$ using slope and y-intercept.
\vspace{5cm}

\item (10 points) Find the slope between $(3,4)$ and $(4,6)$.
\vspace{3cm}

\item (10 points) Find the equation of a line in slope-intercept form with slope $-8$ and going through the point $(-1,3)$. 
\vspace{4cm}

\item (10 points) Find the equation of a line in slope-intercept form with slope $\frac{1}{3}$ and going through the point $(2,5)$. 
\vspace{4cm}

\item (10 points) Find the equation of the line parallel to $y=5x+1$ and containing the point $(0,-3)$.
\vspace{4cm}

\item (10 points) Find the equation of the line perpendicular to $6x-3y=9$ and containing the point $(0,5)$.
\vspace{4cm}


\end{enumerate}

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