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)

Many-one

Answer 2

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.