# Misc 5 - Chapter 1 Class 12 Relation and Functions

Last updated at April 16, 2024 by Teachoo

Miscellaneous

Misc 1
Important

Misc 2

Misc 3 Important

Misc 4 Important

Misc 5 You are here

Misc 6 (MCQ) Important

Misc 7 (MCQ) Important

Question 1

Question 2

Question 3 Important

Question 4

Question 5

Question 6 Important

Question 7 (i) Important

Question 7 (ii)

Question 8

Question 9 Important

Question 10 Important

Question 11

Question 12 (MCQ) Important

Chapter 1 Class 12 Relation and Functions

Serial order wise

Last updated at April 16, 2024 by Teachoo

Misc 5 Let A = {−1, 0, 1, 2}, B = {−4, −2, 0, 2} and f, g: A → B be functions defined by f(x) = x2 − x, x ∈ A and g (x) =2 |"x – " 1/2| −1, x ∈ A Are f and g equal? Justify your answer. (Hint: One may note that two function f: A → B and g: A → B such that f(a) = g(a) for all a ∈ A, are called equal functions). Functions f & g are equal if f(a) = g(a) for all a ∈ A, i.e. f(a) = g(a) for all a ∈ A {–1 , 0, 1, 2} Since f(a) = g(a) for all a ∈ A {–1 , 0, 1, 2} Hence, the functions f and g are equal.