Say whether the following function is injective, surjective, bijective, or none of the above (note: you can only select one option): Domain: A = {1,2,3,4} Codomain: B = {w, x, y, z} f = {(3,w), (4,z), (1,y), (2,x)} O None O Injective O Surjective O Bijective
Say whether the following function is injective, surjective, bijective, or none of the above (note: you can only select one option): Domain: A = {1,2,3,4} Codomain: B = {w, x, y, z} f = {(3,w), (4,z), (1,y), (2,x)} O None O Injective O Surjective O Bijective
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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Need help with this foundations of mathematics homework problem.
Transcribed Image Text:The text presents a mathematical function question designed for educational purposes. It asks whether a given function is injective, surjective, bijective, or none of these, with only one correct option.
**Function Details**:
- **Domain**: A = {1, 2, 3, 4}
- **Codomain**: B = {w, x, y, z}
- **Function**: f = {(3, w), (4, z), (1, y), (2, x)}
**Options**:
- None
- Injective
- Surjective
- Bijective
The function maps each element from set A to a unique element in set B. The question requires analysis of this mapping to determine its properties regarding injectivity (one-to-one), surjectivity (onto), and bijectivity (both one-to-one and onto).
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