a. Let A= {0,1,2,3} and define a relation R on A as follows: R= {(0, 2), (0, 3), (2, 0), (2, 1)}. i. Draw a directed graph of R. ii. Is R reflexive? Explain. iii. Is R symmetric? Explain. iv. Is R transitive? Explain.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 24E
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a. Let A= {0,1,2,3} and define a relation R on A as follows: R= {(0, 2), (0, 3), (2, 0), (2, 1)}. i. Draw a directed graph of R. ii. Is R reflexive? Explain. iii. Is R symmetric? Explain. iv. Is R transitive? Explain. b. Given the functions f and r with plots shown below. Determine whether f and r are injective, surjective, and bijective. Justify your answer.
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