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Consider the function f : {1,2,3,4,5} → {1,2,3,4} given by the table below: 1 2 3 4 5 f(x) | 3 2 4 1 2 (a) Is ƒ injective? Explain. (b) Is f surjective? Explain. (c) Write the function using two-line notation.

Consider the function f : {1,2,3,4,5} → {1,2,3,4} given by the table below: 1 2 3 4 5 f(x) | 3 2 4 1 2 (a) Is ƒ injective? Explain. (b) Is f surjective? Explain. (c) Write the function using two-line notation.

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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Consider the function f : {1,2,3,4,5} → {1,2,3,4} given by the table below: 1 2 3 4 5 f(x) | 3 2 4 1 2 (a) Is ƒ injective? Explain. (b) Is ƒ surjective? Explain. (c) Write the function using two-line notation.
Transcribed Image Text:Consider the function f : {1,2,3,4,5} → {1,2,3,4} given by the table below: 1 2 3 4 5 f(x) | 3 2 4 1 2 (a) Is ƒ injective? Explain. (b) Is ƒ surjective? Explain. (c) Write the function using two-line notation.
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