43.0k views
2 votes
Determine whether the relationship is a function. Complete the explanation. (7,5), (9,7), (-2,9), (7,3), (1,1)

User Dimdm
by
8.6k points

1 Answer

4 votes

Final answer:

A set of points does not represent a function if an input value pairs with more than one output. In this case, the input 7 corresponds to two different outputs (5 and 3), thus the given set of points is not a function.

Step-by-step explanation:

To determine whether a set of points represents a function, we need to look at the input values (typically the x-values) and ensure that each input corresponds to exactly one output (the y-value). We are given the set of points (7,5), (9,7), (-2,9), (7,3), (1,1). By examining these points, we immediately see that the input value 7 is paired with two different outputs (5 and 3). This violates the definition of a function, which states that each input should be paired with exactly one output.

Therefore, the relationship described by the given set of points is not a function.

User BJury
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories