Question

If a function defined from $A$ to $B$ as follows


Then the correct options is/are

• A. Domain of function is $\{1,2,3,4,5\}$
• B. Co-domain of function is $\{2,4,6,8,10\}$
• C. Range of function is $\{2,4,6,8,10\}$
• D. Co domain and range of the given function is same.

Answer 1

Answer: (A), (C)

The correct options are
A Domain of function is $\{1,2,3,4,5\}$
C Range of function is $\{2,4,6,8,10\}$

Here, function is defined from $A$ to $B$
$\therefore$ Set of all elements of $A$ is the domain
$D\left(f\right)=\{1,2,3,4,5\}$

Here, set of all elements present in $B$ is co-domain
$C\left(f\right)=\{2,4,6,8,10,12\}$

For range, set of all elements in $B$ that is an output or the elements in $B$ that is mapped from $A$, so
$R\left(f\right)=\{2,4,6,8,10\}$