Question

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

• A. One-one
• B. Many-one
• C. Both $(a)\&(b)$
• D. None of these

Answer 1

Answer: (B)

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 $B$.
Thus, $f(x)=[x]$ is a many-one function.