Quiz 7


Date: MATH 1090-4 - Fall 2003

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

  1. Match each of the following descriptions with the corresponding graph shown in Figure 1. No justification required!
    i.
    A rational function with vertical asymptotes.
    ii.
    A piecewise defined function.
    iii.
    A polynomial of degree $ 3$.

    Figure 1: Graphs for exercise 1
    []\includegraphics[scale=.3,angle=0, clip= true]{q7-f2.eps} []\includegraphics[scale=.3,angle=0, clip= true]{q7-f0.eps} []\includegraphics[scale=.3,angle=0, clip= true]{q7-f1.eps}

  2. Identify any vertical asymptotes of $ f(x)=\frac{2x+4}{x+1}$.

  3. Let

    $\displaystyle A=\left[ \begin{array}{ccc} 1 & -1 & 2\\ 4 & 0 & 1 \end{array} \r... ...d{array} \right] \quad D=\left[ \begin{array}{c} 2\\ -7\\ 6 \end{array} \right]$    

    1. Write the size of each of the four matrices.
    2. Perform each of the following operations whenever possible. If it is not possible, say so.
      1. $ A^t$.
      2. $ A+B$.
      3. $ B-C$.
      4. $ D+D$.


Javier Fernandez 2003-10-15