Question

If a relation $f:A\to B$ is defined by $f\left(x\right)=x+2$, where A={-1,0,1} and B={1,2,3}, then f is

• A. only one-one function
• B. only onto function
• C. bijective
• D. none of these

Answer 1

The correct option is C bijective

Given, $f:A\to B$

$f\left(x\right)=x+2$

A = {-1,0,1} and B = {1,2,3}

$f\left(A\right)=B$ and for every $x\in A,f\left(x_1\right)\ne f\left(x_2\right)$.

Therefore, f is bijective.

Hence, option C is correct.