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?

(0,0), (4,1), (3, 1.5), or (6, 8)

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

Every input must be paired with exactly one output

Every output must be paired with exactly one input

The input and output values cannot be the same

The input values cannot be smaller than the output values

​

Answer 1

(4,1) and Every input must be paired with exactly one output

Explanation:

If an ordered pair has repeated x-coordinates (inputs) they must have the exact same y-value (output) or it will not be considered a function however, if an output repeats with different inputs, it doesn't matter it can still be a function.