Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. Check the injectivity and surjectivity of the following functions: f defined from R to R given by f(x) = x to the power 2
# NCERT

Q.2 Check the injectivity and surjectivity of the following functions:

(iii) f: R \rightarrow R given by f(x) = x^2

Answers (1)
S seema garhwal

f: R \rightarrow R

f(x) = x^2

One- one:

For   -1,1 \in R  then f(x) = x^2

                                  f(-1)= (-1)^{2}

                                  f(-1)= 1   but  -1 \neq 1 

\therefore  f is not one- one i.e. not injective.

For  -3 \in R  there is no x in R such that f(x)=x^{2}= -3

\therefore  f is not onto i.e. not surjective.

Hence, f is not injective and not surjective.

Similar Questions

Related Chapters

Preparation Products

Knockout NEET July 2020

An exhaustive E-learning program for the complete preparation of NEET..

₹ 15999/- ₹ 6999/-
Buy Now
Rank Booster NEET 2020

This course will help student to be better prepared and study in the right direction for NEET..

₹ 9999/- ₹ 4999/-
Buy Now
Knockout JEE Main July 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
Buy Now
Test Series NEET July 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 11999/-
Buy Now
Exams
Articles
Questions