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1. R= {(1, 1), (2, 2), (3, 4), (5,9)} C ZX Z 2. R= {(n, m) ENXZ: n² = m} CNXZ 3. R = {(n, m) EZXZ:m-n is even} C ZX Z 4. R = {(e, y): y ER} CRX R 15. R = {(x, y) €ERXR: P(x, y) is true} C R x R, where P(x, y) is the predicate

1. R= {(1, 1), (2, 2), (3, 4), (5,9)} C ZX Z 2. R= {(n, m) ENXZ: n² = m} CNXZ 3. R = {(n, m) EZXZ:m-n is even} C ZX Z 4. R = {(e, y): y ER} CRX R 15. R = {(x, y) €ERXR: P(x, y) is true} C R x R, where P(x, y) is the predicate

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q3 Exercise 3: Functions For each relation R from Exercise 2, decide if R is a function or not (according to the definition given in the lecture). Prove your answer or provide a counterexample.
Transcribed Image Text:Q3 Exercise 3: Functions For each relation R from Exercise 2, decide if R is a function or not (according to the definition given in the lecture). Prove your answer or provide a counterexample.
1. R= {(1, 1), (2, 2), (3, 4), (5,9)} C ZX Z 2. R= {(n, m) ENXZ: n² = m} CNXZ 3. R = {(n, m) EZXZ:m-n is even} C ZX Z 4. R = {(e, y): y ER} CRX R 15. R = {(x, y) €ERXR: P(x, y) is true} C R x R, where P(x, y) is the predicate
Transcribed Image Text:1. R= {(1, 1), (2, 2), (3, 4), (5,9)} C ZX Z 2. R= {(n, m) ENXZ: n² = m} CNXZ 3. R = {(n, m) EZXZ:m-n is even} C ZX Z 4. R = {(e, y): y ER} CRX R 15. R = {(x, y) €ERXR: P(x, y) is true} C R x R, where P(x, y) is the predicate
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