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Material Type: Exam; Professor: Ketchersid; Class: Calculus I; Subject: Mathematics; University: Boise State University; Term: Fall 2008;
Typology: Exams
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Name:
Oct 1, 2008 R. Ketchersid
Instructions. Show all work for any partial credit. Where appropriate indicate your final answer by putting a box around the answer. Do not leave two answers and expect me to pick the correct one for you. Feel free to use your calculator to check answers, but I want exact solutions to all problems. If anything is unclear ask me about it.
f (x) = x^2 − 9 x^2 + x − 6
You don’t need to show work on each part, you will either get it correct or not.
a) [2pts] Where is f (x) continuous? (Use interval notation.)
b) [2pts] Where is f (x) > 0? Use a sign diagram for f (x).
c) [2pts] Are there any vertical asymptotes? If so what are they?
d) [2pts] Are there any horizontal asymptotes? If so what are they?
e) [2pts] Sketch the vertical and horizontal asymptotes and roots of f (x). Using this information and your sign diagram sketch a rough guess at what the function looks like.