Q. 275.0( 1 Vote )

Mark the correct alternative in each of the following:

Which of the following functions from A = {x ϵ R : –1 ≤ x ≤ 1} to itself are bijections?

A. f(x) = |x|

B.

C.

D. none of these

Answer :

Given that A = {x : –1 ≤ x ≤ 1}


a. f(x)=|x|


It is not one-one because f(-1)=1 and f(1)=1.


b.


It is bijective as it is one-one and onto with range [-1, 1].

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