Question

A relation is given below.

{(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)}

Which ordered pair can be removed to make this relation a function?


Why would removing this ordered pair make the relation a function?

Answer 1

Answer:

(4, 1) or (4, 2)

Step-by-step explanation:

The function as to be single valued. That means for each pair (x,y)

you can never have two ordered pairs (a,b) and (c,d) such that

$a=c$, but $b \neq d$.

As the two points (4,1) and (4,2) share the same x value x=4, but different

y values, $1\neq 2$, then these pair breaks this rule. Removing one of them is enough to solve the probem, so you can freely choose one of them.

You might have encountered this before as the 'vertical line test' for continous functions.

Answer 2

Answer:

4,1 / Every input must be paired with exatctly one outout.

Step-by-step explanation:

I got it correct.