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\begin{document}
\noindent \textbf{NAME:}
\begin{center}
{\textbf{\Large Math 010 Fall 22 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 $(3,2)$ and $(7,5)$
\vspace{5cm}


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

\includegraphics[scale=.5]{y24x3.png}
\newpage

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

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

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

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



\item (10 points) Solve for x:
$10-2(1-4x)=6(3x-5)+8$
\vspace{4cm}

\item (5 points) Graph $f(x)=3x-2$ using slope and y-intercept.
\vspace{5cm}

\item (10 points) Find the slope between $(5,3)$ and $(7,7)$.
\vspace{3cm}

\item (10 points) Find the equation of a line in slope-intercept form with slope $-5$ and going through the point $(2,-7)$. 
\vspace{4cm}

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

\item (10 points) Find the equation of the line parallel to $-6x+2y=4$ and containing the point $(0,-1)$.
\vspace{3.5cm}

\item (10 points) Find the equation of the line perpendicular to $y=\frac{1}{3}x+9$ and containing the point $(0,4)$.
\vspace{4cm}


\end{enumerate}

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