Let A = {1, 3, 5, 6, 7, 9, 10, 12} and B = {1, 2, 3, 5, 7, 8, 9, 11, 12}. Consider the following function f: A B defined by: f(1) = 12, f(3) = 11, ƒ(5) = 8, ƒ(6) = 7, ƒ(7) = 5, ƒ(9) = 1, ƒ(10) = 9, ƒ(12) = 2. 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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
Problem 21E
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Let A = {1, 3, 5, 6, 7, 9, 10, 12} and B = {1, 2, 3, 5, 7, 8, 9, 11, 12}.
Consider the following function f: A → B defined by:
ƒ(1) = 12, ƒ(3) = 11, ƒ(5) = 8, ƒ(6) = 7, ƒ(7) = 5, ƒ(9) = 1, ƒ(10) = 9, ƒ(12) = 2.
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, 5, 6, 7, 9, 10, 12} and B = {1, 2, 3, 5, 7, 8, 9, 11, 12}. Consider the following function f: A → B defined by: ƒ(1) = 12, ƒ(3) = 11, ƒ(5) = 8, ƒ(6) = 7, ƒ(7) = 5, ƒ(9) = 1, ƒ(10) = 9, ƒ(12) = 2. 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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