Relations and Functions — Class 12 Maths Solution

ncert exercise SA NCERT Ex. 1.2,Q.6, Page 11
Question

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.

Step-by-step Solution

A $= \{1, 2, 3\}, B = \{4,5, 6, 7\}$ and f $= \{(1, 4), (2, 5), (3, 6)\}$

We have, f(1) $=$ 4, f(2) $=$ 5 and f(3) $=$ 6. Distinct elements of A have distinct images in B. Hence, f is a one-one function.

← All Relations and Functions solutions Practice tests →

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.