____________________________________________________________________________
Calculus I                                                               Test #1                                      March  8, 2004

Name____________________                      R.  Hammack                                      Score ______
____________________________________________________________________________

(1)
(a)

(b)

(c) Find the domain of the function    .

(2)
(a) Sketch the graph of the equation    .

(b) Find the equation of the line that is parallel to the graph of    (from Part a, above) and passes through the point .  Put your final answer in slope-intercept form, and simplify as much as possible.

(3)   Suppose   and

(a)

(b)

(4) Sketch the graph of a function satisfying the following properties.
,   ,    ,   ,   ,    .  and   .

(5)  The graph of a function is sketched. Use this information to find the following limits.

(a)

(b)

(6)   Evaluate the following limits.

(a)

(b)

(c)

(d)

(e)

(f)

(7)  This problem concerns the function

(a)

(b)

(c)  At which x values (if any) is the function   discontinuous? Explain  your answer.

(d)
Find the horizontal asymptotes (if any) of  .  Be sure to explain your work.