Let A = {1,2,3,4} and B = {5, 6, 7). Let f be the relation f = {(1,5), (2,5), (3, 6), (?, ?)} where the two question marks are to be determined by you. Your job is to find replace- ments for (?, ?) so that each of the following is true. [Three different answers-one for each of (a), (b), and (c)-are expected. The ordered pair (?, ?) should be a member of Ax B.] a. The relation f is not a function. b. The relation f is a function from A to B but is not onto B. c. The relation f is a function from A to B and is onto B.
Let A = {1,2,3,4} and B = {5, 6, 7). Let f be the relation f = {(1,5), (2,5), (3, 6), (?, ?)} where the two question marks are to be determined by you. Your job is to find replace- ments for (?, ?) so that each of the following is true. [Three different answers-one for each of (a), (b), and (c)-are expected. The ordered pair (?, ?) should be a member of Ax B.] a. The relation f is not a function. b. The relation f is a function from A to B but is not onto B. c. The relation f is a function from A to B and is onto B.
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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![24.8. Let A = {1, 2, 3, 4) and B = {5, 6, 7). Let f be the relation
f = {(1,5), (2,5), (3,6), (?, ?)}
where the two question marks are to be determined by you. Your job is to find replace-
ments for (?, ?) so that each of the following is true. [Three different answers-one for
each of (a), (b), and (c)-are expected. The ordered pair (?, ?) should be a member of
Ax B.]
a. The relation f is not a function.
b. The relation f is a function from A to B but is not onto B.
c. The relation f is a function from A to B and is onto B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4f94f1b-b461-4628-ade7-08bc846003b3%2F1cb6f737-7a1f-4213-a579-801e7cccd89e%2F8vsj6fn_processed.png&w=3840&q=75)
Transcribed Image Text:24.8. Let A = {1, 2, 3, 4) and B = {5, 6, 7). Let f be the relation
f = {(1,5), (2,5), (3,6), (?, ?)}
where the two question marks are to be determined by you. Your job is to find replace-
ments for (?, ?) so that each of the following is true. [Three different answers-one for
each of (a), (b), and (c)-are expected. The ordered pair (?, ?) should be a member of
Ax B.]
a. The relation f is not a function.
b. The relation f is a function from A to B but is not onto B.
c. The relation f is a function from A to B and is onto B.
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