Question

Which set of ordered pairs represents y as a function of x?

A) {(9,-15), (-7,10), (-9,-1), (16,-8)}
B) {(8,-15), (11.-15), (11,-1), (5.-8)}
C) {(9,17), (-7,-13), (-9,7).(-7,-3)}
D) {(-15,-15). (11,7), (5-8), (-15.-9)}

Answer 1

The set that represents y as a function of x is Set A) {(9,-15), (-7,10), (-9,-1), (16,-8)} as each x value is paired with exactly one y value.

Step-by-step explanation:

To determine which set of ordered pairs represents y as a function of x, we must identify the set in which each value of x is paired with exactly one value of y. A function by definition assigns to each element in the domain (values of x) exactly one element in the codomain (values of y).

Let's analyze the given sets of ordered pairs:

• Set A) displays unique x values for each corresponding y value, so it could represent y as a function of x.
• Set B) has the x value 11 paired with two different y values (-15 and -1), which violates the definition of a function.
• Set C) has the x value -7 paired with two different y values (-13 and -3), which likewise violates the definition of a function.
• Set D) has the x value -15 paired with two different y values (-15 and -9), which again violates the definition of a function.

Therefore, the set that represents y as a function of x is:
Set A) {(9,-15), (-7,10), (-9,-1), (16,-8)}