Question

State True or False:

The given relations from A to B are functions.

If A = {a, b, c} and B = {x, y), then R = { (a, x), (b, y), (c, x) }

• A. True
• B. False

Answer 1

The correct option is A True

A relation from A to B is said to be a function of each element in A is related to exactly one element in B.

Here $A=\{a,b,c\}$ and $B=\{x,y\}$

$R=\left\{\right(a,x),(b,y),(c,x\left)\right\}$

$a\in A$ is related to $x\in B$, $b\in A$ is related to $y\in B$ and $c\in A$ is related to $x\in B$.

Hence each element in $A$ is related to exactly one element in $B$.

$\therefore$ Relation $R$ from $A$ to $B$ is a function.