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  4. The smallest integer function f( x ) = [x] is

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Q. The smallest integer function $f( x ) = [x]$ is

Relations and Functions - Part 2

Solution:

We have , $[1.4] = [1.6] = 2$

image
Here, two elements in $A$, $1.4$ and $1.6$ have the same image i.e., $2$ in $B$.
Thus, $f(x) = [x]$ is a many-one function.