Q. 85.0( 1 Vote )

Mark the correct A. many-one and onto

B. many-one and into

C. one-one and into

D. one-one and onto

Answer :

Given that f: R R be given by f(x) = [x]2 + [x + 1] – 3

As [x] is the greatest integer so for different values of x, we will get same value of f(x).

[x]2 + [x + 1] will always be an integer.

So, f is many-one.

Similarly, in this function co domain is mapped with at most one element of domain because for every x ϵ R, f(x) ϵ Z.

So, f is into.

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