Answer:
The relation {(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)} is a function ⇒ answer 2
Step-by-step explanation:
- Relation is a set of inputs and outputs
- Function is a relation where each input has only one output
- Ex: The relation {(2 , 3) , (2 , 5) , (3 , 7)} is not a function because the
input 2 has two outputs 3 and 5
The relation {(-2 , 3) , (2 , 5) , (3 , 7)} is a function because each input
has only one output
* Let us solve the problem
- The first relation is :
{(6, 2), (6, 3), (5, 4), (6, 6), (7, 6)}
∵ The input 6 has three outputs 2 , 3 , 6
∴ The relation is not a function
- The second relation is :
{(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)}
∵ Each input has only one output
∴ The relation is a function
- The third relation is :
{(–2, 6), (3, –6), (–4, 5), (6, –6), (6, –7)}
∵ The input 6 has two outputs -6 , -7
∴ The relation is not a function
- The fourth relation is :
{(2, 6), (3, 6), (4, 5), (6, 6), (6, 7)}
∵ The input 6 has two outputs 6 , 7
∴ The relation is not a function
* The relation {(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)} is a function
