Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let ๐‘“ = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Based on the given information, ๐‘“ is best defined as:

(a) Surjective function          (b) Injective function

(c) Bijective function             (d) function

 

This question is inspired from Ex 1.2 , 6 - Chapter 1 Class 12 - Relation and Functions

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  1. Class 12
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Transcript

Question 37 Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let ๐‘“ = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Based on the given information, ๐‘“ is best defined as: (a) Surjective function (b) Injective function (c) Bijective function (d) function Injective Injective means one-one Since all elements have unique image โˆด R is injective Surjective Surjective means onto Since all elements B do not have a pre-image โˆด R is not surjective So, the correct answer is (B)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.