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.