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
3.8k views
in Sets, Relations and Functions by (49.9k points)
closed by

Show that the function f: R → R: f(x) = x4 is neither one-one nor onto.

1 Answer

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

It is given that

f(x) = x4

By substituting the values

f(1) = 14 = 1

f(-1) = -14 = 1

Hence, f is many-one.

Consider -1 in the co-domain R with no x ∈ R such that f(x) = x4 = – 1

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

...