Question

Including which of the following points in the function {(ball, circle), (kite, diamond), (stop sign, octagon)} would make it no longer be a function? (ball, bounce) (eight, octagon) (triangle, triangle)

Answer 1

Answer:

Option A, i.e, (ball, bounce).

Step-by-step explanation:

The given function is

{(ball, circle), (kite, diamond), (stop sign, octagon)}

If a function is defined as

$f=\{(x,y)|x\in Ry\in R\}$

then $Domain=\{x|x\in R\}$ and $Range=\{y|y\in R\}$.

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.