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\centerline{MATH 133 -- Calculus with Fundamentals 1}
\centerline{Quiz 4 -- October 6, 2017}
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Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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{\it Directions}
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Do all work on this sheet.  There are 30 possible points.
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\begin{enumerate}
\item[1)]  If the Limit Laws apply, use them to evaluate these limits.  
Show all steps and explain which laws you are using.  If the Laws do not apply, explain why.
\begin{enumerate}
\item[(a)] (7.5) $\displaystyle \lim_{x\to 3} 4x^2 + 3x + 1$
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\item[(b)] (7.5)  $\displaystyle \lim_{x\to 1} \frac{x^2 + 3x - 4}{2x^2 -7x + 5}$
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\caption{The Graph $y = f(x)$ for question 2.}
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\item[2)] By examining the graph answer these questions.
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\item[(a)] (5) Is $f(x)$ continuous at $x = -1$? $\underline{\qquad\qquad}$ (Y/N) Why or why not?
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\item[(b)] (5) Is $f(x)$ continuous at $x = 2$? $\underline{\qquad\qquad}$ (Y/N) Why or why not?
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\end{enumerate}
\item[3)] (5) Is the function 
$\displaystyle g(x) = \begin{cases} x^2 + 3x & {\rm if}\ x < 3\\
                       21 - x & {\rm if}\ x \ge 3
         \end{cases}$
continuous at $x = 3$?  $\underline{\qquad\qquad\qquad}$ (Y/N)  Explain:
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