Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
3.0k views
in Sets, Relations and Functions by (51.6k points)
closed by

Define the into function. Give an example.

1 Answer

+1 vote
by (48.6k points)
selected by
 
Best answer

Into Function

A function f: A → B is said to be into if there exists even a single element in B having no pre-image in A.

So, f is into range (f) ⊂ B.

Example:

Let A = {2, 3, 5, 7} and B = {0, 1, 3, 5, 7}

Let f: A → B: f(x) = (x – 2) then

f(2) = (2 – 2) = 0

f(3) = (3 – 2) = 1

f(5) = (5 – 2) = 3

f(7) = (7 – 2) = 5

Thus, every element in A has a unique image in B

Now ∃ 7 ∈ B having no pre-image in A

Hence, f is into.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...