Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let a = {1,2,3}. in each part, give an example of

Let A = {1,2,3}. In each part, give an example of the requested function and justify...

80.2K

Verified Solution

Question

Advance Math

Let A = {1,2,3}. In each part, give an example of the requestedfunction and justify that your example has the required properties,or explain why no such function exists.

(a) A function f : A → A that does not have an inverse.
(b) A function f : A → A×A that is surjective (i.e., onto).
(c) A function f : P(A) → A such that for all X ∈P(A), f(X) ∈X.
(d) A function f : A → A that is also a transitive relation.

Answer & Explanation Solved by verified expert
3.8 Ratings (415 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Geometry
1.2K views

2 Sketch a graph of the function a x x 4 Describe the transformations to...

Psychology
1.2K views

What do you think Ritzer means when he writes “we do not want to convey the...

General Management
1.2K views

Chosen Company: General Electric Assignment Regulations: *Recommened words: 2000 *You are supposed to Continue Assignment-2 and while submitting Assignment-3...

Accounting
1.2K views

What is audit evidence? Define audit evidence? Provide three examples of audit evidence and explain why you...

Basic Math
1.2K views

12A Super Happy Fun Ball is dropped from a height of 6 feet and rebounds...

Calculus
1.2K views

Find the volume of f x y x 3 3y 2 above the 2D region...

Algebra
1.2K views

Multiply and simplify the rational expression x 25 x 3x 40 2 2 X 64...

Accounting
1.2K views

I know headquarters wants us to add that new product line, said Dell Havasi, manager...

Accounting
1.2K views

100.000 200.000 60,000 5.000 15 per share 10 per Beginning of

Accounting
1.2K views

True or false? The detection of fraud and embezzlement is the primary purpose of audits....

Accounting
1.2K views

What are the benefits of using a turnaround document? Provide at least one example of...

Accounting
1.2K views

2. Notes Payable Worksheet Cash and Accounts Receivable Collections: Cash: 10% immediately Accounts Receivables: 87%...