Old-quiz2 - CS 173 Discrete Structures Fall 2009 Quiz 2(Wednesday 21 September NAME NETID This quiz has 2 pages containing 4 questions totalling 20

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CS 173: Discrete Structures, Fall 2009 Quiz 2 (Wednesday 21 September) NAME: NETID: This quiz has 2 pages containing 4 questions, totalling 20 points. You have 20 minutes to fnish. Showing your work may increase partial credit in case oF mistakes. 1. (3 points) Mark the Following claims as “true” or “False”: (a) IF a Function f : R R is increasing, then f is one-to-one. (b) ±or any real numbers a and b , with a > 1 and b > 1, log a ( x ) is O (log b ( x )). (c) ±or any set A , {∅} ∈ P ( A ). 2. (8 points) Check all the boxes which correctly characterize each Function, leaving the other boxes blank. f : N N such that f ( n ) = 3 n 3 - 7 n 2 + 37 O ( n 3 ): Ω(7 n 3 ): O (2 n ): Ω( n !): g : N N such that g ( n ) = n ! One-to-one : Onto : h : Z Z such that h ( n ) = | n | One-to-one : Onto : 1
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3. (4 points) Suppose that f and g are functions whose inputs and outputs are positive
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This note was uploaded on 11/09/2011 for the course CS 173 taught by Professor Erickson during the Spring '08 term at University of Illinois, Urbana Champaign.

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Old-quiz2 - CS 173 Discrete Structures Fall 2009 Quiz 2(Wednesday 21 September NAME NETID This quiz has 2 pages containing 4 questions totalling 20

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