Question: ( 1 2 points ) Let S = { 1 , 2 , 3 , 4 } . The following are four relations from S

(12 points) Let S ={1,2,3,4}. The following are four relations from S to S. For each relation,
determine if it is a function from S to S. Give a short explanation for each question.
(a){(1,2),(3,4),(4,1)}.
(b){(1,2),(2,3),(3,4),(4,1)}
(c){(1,1)(,(1,2),(2,1),(2,2),(3,3),(3,4),(4,3),(4,4)}
(d){(1,2),(2,2),(3,2),(4,2)}

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Q:

Problem 1. (5 points) Let R and S be the following relations on B = {a, b, c, d}: R = {(a, a), (a, c), (c, b), (c, d), (d, b) S = {(b, a), (c, c), (c, d), (d, a)} Find the following compositions on...

Q:

Perez Construction Four years ago, after 11 years in banking, you opened up a management consulting firm serving the Coastal Bend area of Texas. Sofia Perez, CEO of Perez Construction, recently...

Q:

i need all answer. make sure the answer are 100% correct.thanks True-or-False 6 A. Multiple-Choice - 1 6 fn Code-Completion 4 > Programming 1 (2 point(s)) 2-1 Construct a Huffman tree from four leaf...

Q:

Haskell Programming - Code Do it in Haskell GHCI 1. (2 points) Let f x y z = x :([ y]: [ z ] ). What is the type of f? (This problem really goes with Lecture 2, so it should've been in HW 1.) A....

Q:

2D Transformation (10 points) (1) (2 pts) Let A be the 3 x 3 2D transformation matrix for refelction about the L-axis. Show A. (2) (2 pts) Let RO) be the 3 x 3 2D transformation matrix for rotation...

Q:

In class we used the Courant-Fischer theorem to prove that the best low-rank approximation to any matrix X Rnxd is given by XVV where Vk Rdxk contains the top k eigenvectors of XX (i.e., the top k...

Q:

Answer these questions 10:02 8 092 5.3 Quiz: Reading V Comprehension 5.3 Quiz: Reading Comprehension X Est. Length: 2:00:00 Ann Coffey: Attempt 1 Question 1 (2 points) Saved () Listen Which of the...

Q:

6. (8 points) Determine whether each of these functions f : Z Z is one-to-one, onto, both, or neither. (a) f(n) = n + 1 (b) f(n) = n2 + 1. (c) f(n)=n3 (d) Fin) = 11 7. (2 points) Let A = { 1, 2, 3,...

Q:

Dear Sir I Would like the answers of the documents i attach Name: .................................................... Id. Nr. .......................................................... School of...

Q:

Please answer the 5th question. 1. (2 points) Let A be an array of size n26 containing integers from 1 to n- 5, inclusive with exactly five repeated. Describe an O(n) algorithm for finding the five...

Q:

Chan Company recently had most of its records destroyed in a fire. The information for 2014 was discovered by the bookkeeper. Assist the bookkeeper in reconstructing an income statement for 2014....

Q:

Use the following information to prepare the tax return for Bryan Connel. Use Form 1040, Schedule 1, Schedule 3, Schedule B, and Form 8863. This problem is suitable for manual preparation or computer...

Q:

Gen Corporation is expected to pay a dividend of $ 3 . 8 0 per year indefinitely. The appropriate rate of return on this stock is 1 1 percent per year, and the stock consistently goes ex - dividend 3...

Q:

Contestants A, B, C, D, E, and F are in a 10K race. How many different ways can a race with 6 runners be completed? (Assume there is no tie.)In how many ways can A finish first and D finish...