1. At a clothing store, daily sales of shirts (in dollars) after x days of newspapers ads are give by


    MATH

    1. determine which of the following graphs will represent the graph of $y=S(x).$
      MATH

      MATH

    2. Solve for $S(x)>0$ algebraically.

    3. Assuming that the ads keep running, will sales tend to level off?

    4. What is the minimum amount of sales to be expected? What feature of the graph gives this information?

    5. If newspaper ads cost $\$700$ per day, at what point should they be discontinued? Why?

  2. Find the vertical and horizontal aysmptotes for the following functions:

    1. MATH

    2. MATH

    3. MATH

  3. Find a rational function $f$ which satisfies all the following conditions:

    1. $f$ has vertical asymptotes at $x=-1$ and $x=-3;$

    2. $f$ has a horizontal asymptote at $y=3,$

    3. $f(0)=3$

    4. the function MATH ( $f$ approaches to positive infinity) as MATH(when $x$ approaches to $-1 $ from the right)

  4. Let MATH

    1. Find the vertical and the horizontal asymptotes for $f.$

    2. Find the intervals where $f(x)>0$ and the intervals where $f(x)<0.$

    3. Graph $f.$

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