Need help with this foundations of mathematics homework problem. I had two math tutors from bartleby answer this problem and one said the answer was none and the other said the answer was injective. I don't know which answers are correct. **Question:**Determine 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}- **Codomain:** B = {w, x, y, z}- **Function:** f = {(3, w), (2, z), (1, z)}**Options:**- ○ Injective- ○ Surjective- ○ None- ○ Bijective**Explanation:**To analyze the function \( f \), note the mappings:- 3 maps to w- 2 maps to z- 1 maps to z**Injective (One-to-One):**A function is injective if every element of the domain maps to a unique element in the codomain. In this case, since both 2 and 1 map to z, the function is not injective.**Surjective (Onto):**A function is surjective if every element of the codomain is mapped by some element of the domain. Here, x and y in the codomain are not mapped by any element from the domain, so the function is not surjective.**Bijective (One-to-One and Onto):**A function is bijective if it is both injective and surjective. Since this function is neither, it is not bijective.**Conclusion:**The appropriate selection is "None" because the function is neither injective, surjective, nor bijective.

Given that Domain: A = {1,2,3} Codomain:B = {w,x,y,z} f= {(3,w),(2,z),(1,z)}

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} Codomain: B = {w, x, y, z) f = {(3,w), (2,z), (1,z)} O Injective O Surjective None 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} Codomain: B = {w, x, y, z) f = {(3,w), (2,z), (1,z)} O Injective O Surjective None 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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