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
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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