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Let V={1,2,3,4} and W={a,b,c}. Function f:V → W is defined as follows: f(1) = c,f (2) = a, ƒ (3) = c, f (4) = b. %3D %3D Funoti JW ia defned 29 fell

Let V={1,2,3,4} and W={a,b,c}. Function f:V → W is defined as follows: f(1) = c,f (2) = a, ƒ (3) = c, f (4) = b. %3D %3D Funoti JW ia defned 29 fell

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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(ii) Examine all possible properties of R2. It is reflexive, symmetric or transitive? Justify your answer. Let V={1,2,3,4} and W={a,b,c}. Function f:V → W is defined as follows: (c) f(1) = c, f (2) = a, f (3) = c, ƒ (4) = b. %3D %3D Function h: V → W is defined as follows: h(1) = c,h(2) = b,h(3) = b,h(4) = c. Analyze which of these functions is onto? Justify your answer. Given the function f (x) = 2x + 3, g(x) = -x² + 1 and h(x) = 1/x ,x + 0. Formulate the composition of h • (g o f). (e) %3D
Transcribed Image Text:(ii) Examine all possible properties of R2. It is reflexive, symmetric or transitive? Justify your answer. Let V={1,2,3,4} and W={a,b,c}. Function f:V → W is defined as follows: (c) f(1) = c, f (2) = a, f (3) = c, ƒ (4) = b. %3D %3D Function h: V → W is defined as follows: h(1) = c,h(2) = b,h(3) = b,h(4) = c. Analyze which of these functions is onto? Justify your answer. Given the function f (x) = 2x + 3, g(x) = -x² + 1 and h(x) = 1/x ,x + 0. Formulate the composition of h • (g o f). (e) %3D
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