Home
Class 12
MATHS
Check the injectivity and surjectivity o...

Check the injectivity and surjectivity of the following function: `f : ZrarrZ` given by `f(x) = x^2`

Text Solution

Verified by Experts

The correct Answer is:
(ii) Neither injective nor surjective
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS )|8 Videos
  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Check the injectivity and surjectivity of the following function: f : ZrarrZ given by f(x) = x^3

Check the injectivity and surjectivity of the following function: f : NrarrN given by f(x) = x^2

Check the injectivity and surjectivity of the following function: f : RrarrR given by f(x) = x^2

Check the injectivity and surjectivity of the following function: f : NrarrN given by f(x) = x^3

Check the injectivity and surjectivity of the following function: f : RrarrR given by f(x) = x^3

Check the injectivity and surjectivity of the following functions : f: N rarr N given by f(x) = x^2

Check the injectivity and surjectivity of the function sinx.

Check the injectivity and surjectivity of the function f:Z rarr Z given by f(x) = x^3

Check the injectivity and surjectivity for the function f:N rarrN given by f(x) = x^3

Check the injectivity and subjectivity for the function. f: RrarrR given by f(x)=x^2