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

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

Text Solution

Verified by Experts

The correct Answer is:
Neither injective nor surjective.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (c) (Short Answer Type Questions)|7 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (c) (Long Answer Type Questions (I))|10 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (a) (Long Answer Type Questions (II))|6 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Check the injectivity and surjectivity of the following functions f:R rarr R defined by f(x)=3x+10

Check the injectivity and surjectivity of the following functions f:Zrarr Z defined by f(x)=x^2

Check the injectivity and surjectivity of the following functions: (i) f" ":" "N ->N given by f(x)=x^2 (ii) f" ":" "Z-> Z given by f(x)=x^2 (iii) f" ":" "R ->R given by f(x)=x^2 (iv) f" ":" "N-> N given by f(x)=x^3 (v) f" ":" "Z ->

Discuss the surjectivity of the following functions: f:R rarr given by f(x)=x^(3)+2 for all x in R

The function f: RrarrR given by f(x) = |x + 2| is:

Check the continuity of the following functions : f(x)=x^(2)" at "x=0 .

Show that f:RrarrR given by f(x)=x^(3) is bijective.