Quiz3Sol - 2) Let R be a relation such that R Z + x Z + ....

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
COT 3100 Quiz #3 Solutions Spring 2001 3/1/01 Name: __________________ 1) Let R and S be relations that are both subsets of A x A, with A = {1,2,3,4,5}. R={(1,3),(2,4),(3,5),(4,3),(5,2)} and S={(2,4), (1,3), (3,5), (2,1), (4,2)} What is R ° S? What is S ° R? Are either of these functions? R ° S = {(1,5), (2,2), (4,5), (5,1), (5,4)} – not a function; 3 isn’t related to anything S ° R = {(1,5), (2,3), (3,2), (4,4)} – not a function; 5 isn’t related to anything
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2) Let R be a relation such that R Z + x Z + . Define R as follows: R = {(a,b) | a b = 3b a } List 5 elements of R. Virtually anything works here. ..(2,1), (4,2), (6,3), (8,4), (10,5) 3) Let f(x) = 3x 2 4x + 5, g(x) = 3 x. What is f(g(1))? g(1) = 2 f(2) = 3*4 4(2) + 5 = 12 8 + 5 = 9...
View Full Document

This document was uploaded on 07/14/2011.

Ask a homework question - tutors are online