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\centerline{MATH 133 -- Calculus with Fundamentals 1}
\centerline{Quiz 2 -- September 17, 2015}
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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 in the spaces provided below and on the back.  There are 30 total points possible.  You may use a calculator (but not any graphing features).  
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{\it Questions}
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\begin{enumerate}
\item[1)] (10)  Complete the square in $q(x) = -2x^2 + 4x + 6$ and use your results to find the maximum value of $q(x)$. 
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\item[2)] (10)  Express $h(x) = \frac{\cos(2x)}{\cos^2(2x) + 1}$ as a composition $h = f\circ g$.  (Several different pairs
$f,g$ are possible.  Any correct one with $g(x)$ something different from $g(x) = x$ is OK.)
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\item[3)] (10)  Starting from location $x = 0$ along a straight-line road, you drive in the positive $x$-direction
for one hour at 50 miles per hour.  At that point you stop for a road-side picnic which lasts one hour, then you continue
in the same direction for an additional hour at 45 miles per hour.  Let $x(t)$ be
your position as a function of time.  Sketch a graph of $x(t)$ and give a formula for $x(t)$ as a piece-wise defined
function.    
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