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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)