Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Check the injectivity and surjectivity of the following functions f defined from Z to Z given by f(x) = x to the power 2

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

(ii) f : Z \rightarrow Z given by f(x) = x^2

Answers (1)

best_answer

f : Z \rightarrow Z

f(x) = x^2

One- one:

For   -1,1 \in Z  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 Z  there is no x in Z such that f(x)=x^{2}= -3

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

Hence, f is neither injective nor surjective.

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question