QUESTION 11Let x = {1,2,3,4,5,6} and y = {a,b,c,d,e.f}%3DWhich of the following functions is not onto?O f1 = {(1,b),(2,c),(3,d),(4,a),(5,e),(6,c)} cX xYO f2= {(1,a),(2,b),(3,c),(4,d),(5,e).(6,f)} cX xYO fa= {(1,),(2,e),(3,d),(4,c),(5,b),(6,a)} cX xYO f3 = {(1,b),(2,d),(3,a),(4.f),(5,c),(6,e)} cX xY

Answered: Image /qna-images/answer/56da181a-ef38-4fb6-bca3-3c370834e88e.jpg

Answered: QUESTION 11 Let x = {1,2,3,4,5,6} and y…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 6E: 6. In Example 3 of section 3.1, find elements and of such that but . From Example 3 of section 3.1:...

See similar textbooks

Similar questions

6. In Example 3 of section 3.1, find elements and of such that but . From Example 3 of section 3.1: and is a set of bijective functions defined on .
7. In Example 3 of Section 3.1, find elements and of such that . From Example 3 of section 3.1: andis a set of bijective functions defined on .
In Example 3 of Section 3.1, find all elements a of S(A) such that a2=e. From Example 3 of section 3.1: A=1,2,3 and S(A) is a set of bijective functions defined on A.
Problem 14 (#2.3.14).Determine whether f:Z×Z→Zis onto if a) f(m, n) = 2m−n, b) f(m, n) = m2−n2, c) f(m, n) = m+n+ 1, d) f(m, n) = |m| − |n|, e) f(m, n) = m2−4.
Given the function f , g and h, all with source and target {1, 2, 3, 4}, defined as follows: f ={(1,2),(2,4),(3,1),(4,3)} g = {(1, 3), (2, 3), (3, 4)} h = {(1, 1), (2, 2), (3, 3), (4, 4)} 1.Which of f , g , and h are total functions, and which are partial? Evaluate 1. g(2) 2. f (f (4)) 3. g (h(4))
Theorem 1 in Section 2.4 states the following: "If f and g are continuous functions, then f + g is continuous." Does it follow logically that if f and g are not continuous, then f + g is not continuous?
Question 4 Let A = B = {1, 2, 3}, and consider the function f: A → B defined as follows: f(1) = 3, f(2) = 1, f(3) = 3. f is onto only f is one-to-one only f is one-to-one correspondence f is neither one-to-one nor onto
Problem 12 Let f: A → B be a function. • Prove that f is injective if and only if E = f −1 (f(E)) for all subsets E ⊆ A. • Prove that f is surjective if and only if F = f(f −1 (F)) for all subsets F ⊆ B.
If Q is a function of w, x, y, and z, each of which is a function of r, s, and t, how many dependent variables, intermediate variables, and independent variablesare there?
Let s(x) and c(x) be two functions satisfying s′(x) = c(x) and c′(x) = −s(x) for all x. If s(0) = 0 and c(0) = 1, prove that [s(x)]2 + [c(x)]2 = 1.
Let A = (1 1 1, 1 2 2) Find R(A), R(AT), and N(A)
8 Examine holomorphism of given function f(z) = |z|2

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS