Calculus I, BTrack 
Test #1

September 30, 2002

Name____________________ 
R. Hammack

Score ______

(1) (10 points)
(a)
(b) Find all the x values that are not in the domain
of the function .
(2) (10 points)
(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 which passes through the point .
Put your final answer in slopeintercept form, and simplify as much as possible.
(3) (10 points) Consider the functions and
(a)
(b)
(4) (20 points) Evaluate the following limits.
(a)
(b)
(c)
(d)
(5) (35 points) This problem concerns the function .
(a) State the domain of f.
(b)
(c)
(d)
(e)
(f) List the vertical asymptote(s) of f (if any). (Feel
free to use any relevant information from parts ad above)
(g) List the horizontal asymptote(s) of f (if any). (Feel
free to use any relevant information from parts ad above)
(6) (10 points) This problem concerns the function
(a)
(b)
(c)
(d)
(e) Is f continuous at x = 0? (Explain, using above information.)
(f)
(g)
(h)
(i)
(j) Is f continuous at x = 1? (Explain, using above information.)
(7) (5 points) Sketch the graph of a function f satisfying the following properties: , , , , and , There are many correct answers.