The following functions all have domain {1,2,3,4,5}{1,2,3,4,5} and codomain {1,2,3}.{1,2 For each, determine whether it is one-to-one (injective), onto (surjective), bijective, or neiti injective nor surjective. 1 a. f = 2 3 4 5 || 1 2 1 2 1 2 3 4 5 1 b. f = 1 1 2 if m < 3 2]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 55E
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2. The following functions all have domain {1,2,3,4,5}{1,2,3,4,5} and codomain {1,2,3}.{1,2,3}.
For each, determine whether it is one-to-one (injective), onto (surjective), bijective, or neither
injective nor surjective.
1
2 3
4
а. f
1
1
2
1
3 4 5
1
b. f =
1
2 3
1
2
c. f(x) = {
if x < 3
if x > 3
3
Transcribed Image Text:2. The following functions all have domain {1,2,3,4,5}{1,2,3,4,5} and codomain {1,2,3}.{1,2,3}. For each, determine whether it is one-to-one (injective), onto (surjective), bijective, or neither injective nor surjective. 1 2 3 4 а. f 1 1 2 1 3 4 5 1 b. f = 1 2 3 1 2 c. f(x) = { if x < 3 if x > 3 3
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