1. Write each of the following explicitly. (a) {1} x {1, 2} x {1,2,3} (b) x {1,2} (c) 2{1,2} x {1,2} X 2. Let R {(a, b), (a, c), (c, d), (a, a), (b, a)}. What is Ro R, the composition of R with itself? What is R¹, the inverse of R? Is R, Ro R, or R-¹ a function?
1. Write each of the following explicitly. (a) {1} x {1, 2} x {1,2,3} (b) x {1,2} (c) 2{1,2} x {1,2} X 2. Let R {(a, b), (a, c), (c, d), (a, a), (b, a)}. What is Ro R, the composition of R with itself? What is R¹, the inverse of R? Is R, Ro R, or R-¹ a function?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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