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Which set of ordered pairs represents a function?
Answer
{(4,3), (-7,9), (9,-5), (4,4)}
{(4,-5), (-4,1),(0,5), (-8,5)}
{(4.-7). (4,1). (6.-5). (0,3)}
{(-7,6), (5.-5), (5,1). (4,4)}

Answer 1

An ordered pair is a pair of numbers (x, y) that represents a point on a graph. In a function, each x-value is paired with exactly one y-value. The set of ordered pairs that represents a function is {(4,-5), (-4,1),(0,5), (-8,5)}.

Step-by-step explanation:

An ordered pair is a pair of numbers (x, y) that represents a point on a graph. In a function, each x-value is paired with exactly one y-value. To determine if a set of ordered pairs represents a function, we need to check if any two pairs have the same x-value but different y-values. If there are any such pairs, then the set does not represent a function.

Let's analyze the sets of ordered pairs given:

1. {(4,3), (-7,9), (9,-5), (4,4)}: This set does not represent a function because the x-value 4 is paired with both y-values 3 and 4.
2. {(4,-5), (-4,1),(0,5), (-8,5)}: This set represents a function as each x-value is paired with exactly one y-value.
3. {(4.-7). (4,1). (6,-5). (0,3)}: This set does not represent a function because the x-value 4 is paired with both y-values -7 and 1.
4. {(-7,6), (5,-5), (5,1), (4,4)}: This set represents a function as each x-value is paired with exactly one y-value.

Therefore, the set of ordered pairs that represents a function is {(4,-5), (-4,1),(0,5), (-8,5)}.

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