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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Show that f is one-one
Solution:
A function is a process or a relation that associates each element 'a' of a non-empty set A, to a single element 'b' of another non-empty set B
A relation f from a set A to another set B (the co-domain of the function) is called a function in math
According to the given problem:
A = {1, 2, 3} ,
B = {4, 5, 6, 7}
f : A → B is defined as
f = {(1, 4),(2, 5), (3, 6)}
⇒ f (1) = 4,
⇒ f (2) = 5,
⇒ f (3) = 6
It is seen that the images of distinct elements of A under f are distinct
⇒ f is one-one
NCERT Solutions for Class 12 Maths - Chapter 1 Exercise 1.2 Question 6
Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Show that f is one-one
Summary:
Given that f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. It is seen that the images of distinct elements of A under f are distinct hence f is one-one
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