Question

Which set of ordered pairs does not represent a funetion?

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

Answer 1

The set a.) \((-7,-8), (-7,5), (-6,0), (-1,8)\) does not represent a function because the input -7 has two different outputs, violating the definition of a function.

Step-by-step explanation:

Which set of ordered pairs does not represent a function? The answer is option a.) \((-7,-8), (-7,5), (-6,0), (-1,8)\). In mathematics, for a set of ordered pairs to represent a function, each input (first element of the pair) must correspond to exactly one output (second element of the pair). Option a contains the input -7 paired with two different outputs, -8 and 5, which violates the definition of a function. Thus, this set of ordered pairs does not define a function.