Determine if Set of Points is a Function which set of ordered pairs represents a function: {(3,6),(3,1),(9,0),(2,2)}, {(2,−5),(−3,6),(−1,−8),(−3,−4)}, {(4,−7),(−2,−1),(−7,4),(9,−1)},{(3,8),(−2,−9),(1,4),(1,9)}

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25-10-2021
Mathematics

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Determine if Set of Points is a Function which set of ordered pairs represents a function: {(3,6),(3,1),(9,0),(2,2)}, {(2,−5),(−3,6),(−1,−8),(−3,−4)}, {(4,−7),(−2,−1),(−7,4),(9,−1)},{(3,8),(−2,−9),(1,4),(1,9)}

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djtwinx017 djtwinx017 · Answer 1 · 2021-10-25T19:38:30+02:00

{(−2,−1),(−7,4),(9,−1)} Represents a function.

A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values).

Whenever you're trying to determine whether a given relation is a function, observe whether each first element (or input) correspond with EXACTLY ONE second element (or output).

Out of all the given options, the relation, {(−2,−1),(−7,4),(9,−1)} each x-coordinate corresponds exactly to one y-coordinate.

Therefore, the correct answer is {(−2,−1),(−7,4),(9,−1)} .