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