Q. 45.0( 1 Vote )

Mark the correct A. one-one and onto

B. many-one and onto

C. one-one and into

D. many-one and into

Answer :

Given that f: R R where f(x) = 2x + 2|x|


Here, for each value of x we will get different value of f(x).


So, it is one-one.


Also, f(x) is always positive for x ϵ R.


There is no x ϵ R for which f(x) ϵ (-∞, 0).


So, it is into.


Hence, the given function is one-one and into.

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