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Calculus I                                                                           Test #1                                              October  6, 2003

Name____________________                                   R.  Hammack                                              Score ______
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(1) (12 points)

(a)

(b)

(c) Find all solutions of  the equation    .

(2) (8 points)

(a) Sketch the graph of the equation    .

(b) Find the equation of the line that is perpendicular to the graph of    (from Part a, above) and which has an x-intercept of 1.  Put your final answer in slope-intercept form, and simplify as much as possible.

(3) (40 points)  The problems on this page concern the functions and

(a)

(b)

(c) State the domain of

(d)  List the values of x at which f is not continuous

(e)

(f)

(g)

(h)

(i) List the vertical asymptote(s) of f  (if any).  (Feel free to use any relevant information from parts a-d above)

(j) List the horizontal asymptote(s) of f  (if any).   (Feel free to use any relevant information from parts a-d above)

(4)  (16 points)  Evaluate the following limits.

(a)

(b)

(c)

(d)

(5) (20 points)  This problem concerns the function
(a)

(b)

(c)

(d) Sketch a graph of the function f.

(e)
Is the function f continuous at x = 1?

(6) (4 points)