# Part - 1 Lecture - 6 Chapter 1 Relations and Functions

Every great story on the planet happened when someone decided not to give up, but kept going no matter what. – Spryte Loriano

Booklets/Notes/Assignments are typed here on this website and their PDFs will be made available soon.

Lecture 6 Part 1 Questions from Exercise 1.3, NCERT Exemplar, Board’s Question Bank

Introduction to lecture, Inverse Functions Questions from Booklet

1. Let S = {1, 2, 3}. Determine whether the functions f : S → S defined as below have inverses. Find $$f^{-1}$$, if it exists. (N)
a. f = {(1, 1), (2, 2), (3, 3)}
b. f = {(1, 2), (2, 1), (3, 1)}
c. f = {(1, 3), (3, 2), (2, 1)}

2. State with reason whether following functions have inverse (N)
a. f : {1, 2, 3, 4} → {10} with f = {(1, 10), (2, 10), (3, 10), (4, 10)}
b. g : {5, 6, 7, 8} → {1, 2, 3, 4} with g = {(5, 4), (6, 3), (7, 4), (8, 2)}
c. h : {2, 3, 4, 5} → {7, 9, 11, 13} with h = {(2, 7), (3, 9), (4, 11), (5, 13)}