Home
Class 12
MATHS
Let A=(-1,1), then discuss whether the f...

Let A=(-1,1), then discuss whether the functions defined on A are one-one and onto or bijective.
k(x) =`x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
k is neither one -one nor onto
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE ( Short Answer Type Questions ) |9 Videos
  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos
  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

Similar Questions

Explore conceptually related problems

Let A=(-1,1), then discuss whether the functions defined on A are one-one and onto or bijective. f(x) =x /2

Let A=(-1,1), then discuss whether the functions defined on A are one-one and onto or bijective. h(x) =x|x|

Let A=(-1,1), then discuss whether the functions defined on A are one-one and onto or bijective. g(x) = |x|

State whether the function f : R rarr R, defined by f(x) = 3 - 4x is onto or not.

Give an example of a function which is neither one-one nor onto

State whether the function f:NrarrN defined by f(x)=5x is injective, surjective or both.

Write the domain of the function defined by f(x)= sin^(-1)x+cosx

Let f:RrightarrowR be defined as f(x)=3x . Then f is one-one and onto

Show that the fuction f:RrarrR defined by f (x)=sin x is neither one-one nor onto.

Determine whether the function f:X rarr Y defined by f(x) = 4x + 7, x in X is one-one.