Question

Which set of ordered pairs represents a function?

a){(9, 8), (-1, 7), (-1, -9), (3, -1)}{(9,8),(−1,7),(−1,−9),(3,−1)}
b){(9, -5), (4, 6), (9, 8), (-6, 9)}{(9,−5),(4,6),(9,8),(−6,9)}
c){(-8, 0), (-8, 2), (5, -7), (-2, -9)}{(−8,0),(−8,2),(5,−7),(−2,−9)}
d){(2, 9), (-4, -6), (9, 6), (0, 6)}{(2,9),(−4,−6),(9,6),(0,6)}

Answer 1

A set of ordered pairs represents a function if each input (x-value) is paired with exactly one output (y-value). Set a) {(9, 8), (-1, 7), (-1, -9), (3, -1)} is the only set that represents a function.

Step-by-step explanation:

A set of ordered pairs represents a function if each input (x-value) is paired with exactly one output (y-value). In other words, no two ordered pairs can have the same x-coordinate but different y-coordinates.

Out of the given sets, only set a) {(9, 8), (-1, 7), (-1, -9), (3, -1)} represents a function because each x-coordinate appears only once in the set.

The correct answer is a) {(9, 8), (-1, 7), (-1, -9), (3, -1)}.