Question

Which set of ordered pairs represents a function?

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

Answer 1

Out of the given options, only Set a, which is {(2,9),(5,9),(1,−6),(−5,5)}, represents a function because each input is associated with exactly one output.

Step-by-step explanation:

The set of ordered pairs that represents a function is one where each input (the first number in the ordered pair) is associated with exactly one output (the second number in the ordered pair). Let's review the sets of ordered pairs provided:

• Set a: {(2,9),(5,9),(1,−6),(−5,5)} - No input is repeated; this could be a function.
• Set b: {(1, 8), (9, -3), (7, -4), (7, -6)} - The input '7' is associated with two different outputs, -4 and -6, so this is not a function.
• Set c: {(−5,−1),(−3,−7),(−5,3),(−7,−4)} - The input '−5' is associated with two different outputs, −1 and 3, so this is not a function.
• Set d: {(6,6),(6,8),(−8,−7),(−3,−8)} - The input '6' is associated with two different outputs, 6 and 8, so this is not a function.

Therefore, the set of ordered pairs that represents a function is Set a.