225k views
3 votes
Which of these relations is a function?

User Max Tet
by
9.0k points

1 Answer

6 votes

The relation representing a function is where each input corresponds to a unique output. In this context, Option B is a function as each x-value has a distinct y-value.

The relation that represents a function is the one where each input (x-value) corresponds to only one unique output (y-value). Let's analyze the given options:

A. {(1, 2), (2, 3), (1, 4)} - Not a function as 1 has two different corresponding y-values.

B. {(3, 5), (2, 6), (1, 3)} - Function as each x-value has a unique y-value.

C. {(4, 7), (5, 8), (6, 7)} - Function as each x-value has a unique y-value.

D. {(1, 2), (2, 3), (3, 4)} - Not a function as 2 has two different corresponding y-values.

Therefore, the correct option is B. This represents a function as each input (x-value) has a unique output (y-value).

Complete question:

Which of the following relations is a function, given the set of options?

A. {(1, 2), (2, 3), (1, 4)}

B. {(3, 5), (2, 6), (1, 3)}

C. {(4, 7), (5, 8), (6, 7)}

D. {(1, 2), (2, 3), (3, 4)}

User Ashfaq
by
7.8k 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