For each of the functions f1, f2, f3, determine whether it is injective, surjective, and/or bijective. In the case of negative answers, provide a suitable reason.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 44E
icon
Related questions
Question
Question 7
f3: S S be the following functions:
Let S = {a, b, c, d}, and let fı: S → S, f2: S → S and
|3D
fi = {(a, c), (b, a), (c, d), (d, b)},
f2 = {(a, b), (b, d), (c, d), (d, c)},
= {(a, b), (b, b), (c, b), (d, b)}.
f3
For each of the functions f1, f2, f3, determine whether it is injective, surjective,
and/or bijective. In the case of negative answers, provide a suitable reason.
Transcribed Image Text:Question 7 f3: S S be the following functions: Let S = {a, b, c, d}, and let fı: S → S, f2: S → S and |3D fi = {(a, c), (b, a), (c, d), (d, b)}, f2 = {(a, b), (b, d), (c, d), (d, c)}, = {(a, b), (b, b), (c, b), (d, b)}. f3 For each of the functions f1, f2, f3, determine whether it is injective, surjective, and/or bijective. In the case of negative answers, provide a suitable reason.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage