42.4k views
2 votes
Which of the following relations is a function?

Select all that apply.
A{(1,3),(2,4),(3,5),(4,6),(5,7)}
B{(3,1),(4,1),(5,1),(6,1),(7,1)}
C{(1,0),(1,2),(3,2),(5,4),(7,6)}
D {(-5,4),(-3,2),(-1,0),(-3,-2).(-5,-4)}

User BobV
by
8.5k points

1 Answer

3 votes

Final answer:

Relation A and B are functions because each input value has a unique output value. Relation C and D are not functions because some input values have multiple output values.

Step-by-step explanation:

A function is a relation between two sets in which each input value is assigned to exactly one output value. To determine if a relation is a function, we need to check if each input value has a unique output value. In this case, relation A {(1,3),(2,4),(3,5),(4,6),(5,7)} is a function because each input value corresponds to a unique output value. Relation B {(3,1),(4,1),(5,1),(6,1),(7,1)} is also a function because each input value has the same output value. However, relation C {(1,0),(1,2),(3,2),(5,4),(7,6)} is not a function because the input value 1 has two different output values, 0 and 2. Relation D {(-5,4),(-3,2),(-1,0),(-3,-2),(-5,-4)} is also not a function because the input value -3 has two different output values, 2 and -2.

User Veridiana
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