2. Suppose I wish to define a function g : {0, 1, 2, 3, 4} → Z that takes an input of an equivalence class mod 5 (so one of the numbers 0, 1, 2, 3, or 4), and returns an output of the integer with that equivalence class. Is g a well-defined function? Why or why not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Suppose I wish to define a function g : {0, 1, 2, 3, 4}
the numbers 0, 1, 2, 3, or 4), and returns an output of the integer with that equivalence class.
→ Z that takes an input of an equivalence class mod 5 (so one of
Is g a well-defined function? Why or why not?
Transcribed Image Text:2. Suppose I wish to define a function g : {0, 1, 2, 3, 4} the numbers 0, 1, 2, 3, or 4), and returns an output of the integer with that equivalence class. → Z that takes an input of an equivalence class mod 5 (so one of Is g a well-defined function? Why or why not?
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