Let A = {1, 3, 5, 7, 9, 11}, B= {a, b, c, d, e}, and ƒ be the function from A to B defined as below: J- (1, а), (3, b), (5, е), (7, е), (9, d), (11, а)} Determine whether fis everywhere defined, onto and one to one. Give a reason for each of your answers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a)
Let A = {1, 3, 5, 7, 9, 11}, B= {a, b, c, d, e}, and ƒ be the function from A to B defined
as below:
J- (1, а), (3, b), (5, e), (7, с), (9, d), (11, а)}
Determine whether fis everywhere defined, onto and one to one. Give a reason for each
of your answers.
Transcribed Image Text:a) Let A = {1, 3, 5, 7, 9, 11}, B= {a, b, c, d, e}, and ƒ be the function from A to B defined as below: J- (1, а), (3, b), (5, e), (7, с), (9, d), (11, а)} Determine whether fis everywhere defined, onto and one to one. Give a reason for each of your answers.
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