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Electrical Engineering 20N - Fall 2002 - Lee - Midterm 1

# Electrical Engineering 20N - Fall 2002 - Lee - Midterm 1 -...

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EECS 20. Midterm No. 1 October 4, 2002. Solution 1. 50 points. Please indicate whether the following statements are true or false. There will be no partial credit. They are either true or false. So please be sure of your answer. (a) t Reals , ( t, t +1) Reals 2 true (b) x Integers , { ( x, x +1) }⊂{ 1 , 2 , 3 } 2 true (c) If A = { 1 , 2 } and B = { 1 , 2 , 3 } , then x A such that y B , x< = y . true (d) P ( A B )= P ( A ) P ( B ) , where P denotes the power set. false (e) For any two functions f : A A and g : A A , where A is a set, f g = g f . false (f) Let f : Reals Reals be a function where x Reals , f ( x )= x sin( x ) . Then f is onto. true (g) For the same function f in the previous part, f is one-to-one. false (h) Let A =[ 1 , 1] . Consider a function f where x A , f ( x )= x sin(2 πx ) . Then f [ A A ] . true (i) [ { 1 , 2 , 3 }→{ 1 , 2 } ] [ { 1 , 2 , 3 }→ Naturals

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Electrical Engineering 20N - Fall 2002 - Lee - Midterm 1 -...

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