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Let A = {1, 3, 4, 9, 10, 11} and B = {1, 4, 5, 6, 7, 10}. Consider the following function f: A B defined by: f(1) = 1, f(3) = 5, f(4) = 10, f(9) = 4, f(10) = 6, f(11) = 7. You are required to determine whether the function f is an injection, surjection, bijection. To obtain marks you will need to make a correct selection on all of these. • Function f is an injection: Select • Function f is a surjection: Select • Function f is a bijection: Select

Let A = {1, 3, 4, 9, 10, 11} and B = {1, 4, 5, 6, 7, 10}. Consider the following function f: A B defined by: f(1) = 1, f(3) = 5, f(4) = 10, f(9) = 4, f(10) = 6, f(11) = 7. You are required to determine whether the function f is an injection, surjection, bijection. To obtain marks you will need to make a correct selection on all of these. • Function f is an injection: Select • Function f is a surjection: Select • Function f is a bijection: Select

Advanced Engineering Mathematics
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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Let A = {1, 3, 4, 9, 10, 11} and B = {1, 4, 5, 6, 7, 10}. Consider the following function f: A→B defined by: ƒ(1) = 1, ƒ(3) = 5, ƒ(4) = 10, ƒ(9) = 4, ƒ(10) = 6, ƒ(11) = 7. You are required to determine whether the function f is an injection, surjection, bijection. To obtain marks you will need to make a correct selection on all of these. Function f is an injection: Select Function f is a surjection: Select • Function f is a bijection: Select ● ●
Transcribed Image Text:Let A = {1, 3, 4, 9, 10, 11} and B = {1, 4, 5, 6, 7, 10}. Consider the following function f: A→B defined by: ƒ(1) = 1, ƒ(3) = 5, ƒ(4) = 10, ƒ(9) = 4, ƒ(10) = 6, ƒ(11) = 7. You are required to determine whether the function f is an injection, surjection, bijection. To obtain marks you will need to make a correct selection on all of these. Function f is an injection: Select Function f is a surjection: Select • Function f is a bijection: Select ● ●
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