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1. Is it possible to have a function f: A → B where the domain satisfies |A| = 3 and the codomain satisfies |B| = 2? If you think this is possible, provide an explicit example (make up your own sets A and B, and make up your own function f). If you think this is impossible explain why.

1. Is it possible to have a function f: A → B where the domain satisfies |A| = 3 and the codomain satisfies |B| = 2? If you think this is possible, provide an explicit example (make up your own sets A and B, and make up your own function f). If you think this is impossible explain why.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Is it possible to have a function f: A B where the domain satisfies |A| = 3 and the codomain satisfies |B| = 2? If you think this is possible, provide an explicit example (make up your own sets A and B, and make up your own function f). If you think this is impossible explain why.
Transcribed Image Text:1. Is it possible to have a function f: A B where the domain satisfies |A| = 3 and the codomain satisfies |B| = 2? If you think this is possible, provide an explicit example (make up your own sets A and B, and make up your own function f). If you think this is impossible explain why.
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