Function f$($x$)$ is defined as$$ f: $\{0,1\}4\{0,1\}3$

f$($x$)$ output is obtained from the input bit string x by removing the first bit.$$ For example, f$(0100)=100$

Select the correct description of the function f$.$

$$

One$-$to$-$one but not onto

$$

Neither onto nor one$-$to$-$one

$$

One$-$to$-$one and onto