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Unformatted text preview: MATH 114 , Name:
03. 14. 2007 EXANI II
Please circle the name of your TA:
Nathan Panike I Keya Zhu Show all your work in order to receive credit. A correct answer without any work
will receive 0 credit. Partial credit will be given ONLY for results that are correct
and relevant to the problem. Please write your answers neatly. Good luck! _ 1. (10 points) Let f(X) = X4 +2X3 +X2 +8X — 12. Given that a: = 22' is a zero
of f (X ) ﬁnd all the zeros of f. ' —3:c2+993+30
xg—a:6 2. Let f(:c) = . Determine the following (if none write “none”). Domain of f vertical asymptotes horizontal asymptotes xintercept y—intercept Sketch the graph of f Label all asymptotes and intercepts. 3. (10 points) Solve for :c i) 10g2(a: —— 1) +10g2(3x + '2) = _1 + 210g2 a: my For each of the following questions circle only one answer. If you circle more
than one answer you are not getting any credit, even if the right oneWas among
your choices. There are 5 questions and each is worth 4 points. Turn page to
answer the last question. ' Find a polynomial function with zeros —3, 1,0. A. f(X) = Xéor * 1)(X + 3) B. for) = X(X — 3)3(X + 1)2
c. f(X) = X(X — 3)(X — 1) D. f(X) = X(X + 1)(X + 3) E. none of these Find the vertical asymptote to the graph of f = log5(33 + 2) — 3. A.m=2 B. cc=—2 C. y=—3 D. 33:0 E. noneofthese T is directly proportional to the square root of L and inversely proportional to the square root of g. If T = g when L = 2 and g = 32 ﬁnd the constant of proportionality. 7T 2 E. none of these A.k=7r B. 1.2:; o. k=27r D. k: Evaluate Without using a calculator ln(ln(e_5)) A.O B. does not exist C. e D. '—5 E. noneofthese V There is a question on the next page! 5 8. Express in terms of logarithms of $, 3; and z the foilowing 1 1
§10g7cc+ élog7y—210g7z 310g7 513.210g7 y ‘ /log7 z A. x3+y2—\/§ B. 1 .
C. 310g7$+ 210g7y+ 510g72 D. E. none of these 6 ...
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 Fall '07
 NANCIU
 Algebra, Trigonometry, Exponential Function, Mathematical constant

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