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.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
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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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