Question

Let $A=1,2,3,4$ and $R:A\to A$ be the relation defined by $R=\left\{\left(1,1\right),\left(2,3\right),\left(3,4\right)\left(4,2\right)\right\}$. The correct statement is :

• A. R does not have an inverse.
• B. R is not a one to one function.
• C. R is an onto function.
• D. R is not a function.

Answer 1

Answer: (C)

Domain $=1,2,3,4$
Range $=1,2,3,4$
$\therefore$ Domain = Range
Hence the relation R is onto function.