Answer:
Option A, i.e, (ball, bounce).
Explanation:
The given function is
{(ball, circle), (kite, diamond), (stop sign, octagon)}
If a function is defined as
![f=\x\in Ry\in R\](https://img.qammunity.org/2020/formulas/mathematics/middle-school/td39afzdk1i5u455mtj3hr90sz1ibx5f96.png)
then
and
.
A relation is called a function if there exist a unique output for each input. In other words, there exist a unique y-value for each x-value.
The domain of given function is
Domain = {ball, kite, stop sign}
If (ball, bounce) is included in the function, then for input "ball" there exist two outputs "circle and bounce". So after including (ball, bounce), then given function is no longer be a function.
Therefore, the correct option is A.