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Given f: {1,3,5} → {a,b,c,d} defined by the assignment 1b, 3b, 5 → b Is it a function or not? If function, identify whether it is one-to-one but not onto, onto but not one-to-one, a one-to-one correspondence, or neither one-to-one nor onto. Else, select not a function. Answer: function: one-to-one but not onto function: onto but not one-to-one function: one-to-one correspondence function: neither one-to-one nor onto not a function

Given f: {1,3,5} → {a,b,c,d} defined by the assignment 1b, 3b, 5 → b Is it a function or not? If function, identify whether it is one-to-one but not onto, onto but not one-to-one, a one-to-one correspondence, or neither one-to-one nor onto. Else, select not a function. Answer: function: one-to-one but not onto function: onto but not one-to-one function: one-to-one correspondence function: neither one-to-one nor onto not a function

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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Given f: {1,3,5} → {a,b,c,d} defined by the assignment 1 b, 3 → b, 5 → b Is it a function or not? If function, identify whether it is one-to-one but not onto, onto but not one-to-one, a one-to-one correspondence, or neither one-to-one nor onto. Else, select not a function. Answer: function: one-to-one but not onto function: onto but not one-to-one function: one-to-one correspondence function: neither one-to-one nor onto not a function
Transcribed Image Text:Given f: {1,3,5} → {a,b,c,d} defined by the assignment 1 b, 3 → b, 5 → b Is it a function or not? If function, identify whether it is one-to-one but not onto, onto but not one-to-one, a one-to-one correspondence, or neither one-to-one nor onto. Else, select not a function. Answer: function: one-to-one but not onto function: onto but not one-to-one function: one-to-one correspondence function: neither one-to-one nor onto not a function
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