Question

Two sets are given as
Set$A=\{1,2,3,4,99\}$ and
Set$B=\{2,3,0,1,89\}$
Which of the following collection of ordered pairs represents the function defined from set $A$ to set $B$ ?

• A. $\left\{\right(1,2),(1,3),(3,0),(3,89),(4,1),(99,0\left)\right\}$
• B. $\left\{\right(1,2),(2,3),(3,0),(4,1),(99,89\left)\right\}$
• C. $\left\{\right(1,2),(4,3),(3,0),(4,1),(99,89\left)\right\}$
• D. $\left\{\right(1,2),(2,0),(4,1),(99,89\left)\right\}$

Answer 1

The correct option is B $\left\{\right(1,2),(2,3),(3,0),(4,1),(99,89\left)\right\}$

The relation from set$A$ to set$B$ will be function when every element in set$A$ is associated to exactly one element of set$B$.

Here, in option$\left(a\right)$ $1$ is associated to $2$ as well as $3$ and similarly in option$\left(c\right)$ element $4$ is associated to two different values respectively.

In option(d), element $3$ from set $A$ is not mapped with any element from set $B$.

In option (b), every element of set $A$ is associated with exactly one element of set $B$ Hence, Option$\left(b\right)$ is correct