Which of the following relation is a function?
a) $(2,4),(3,2),(4,2),(5,2)$
b) $(2,4),(2,5),(2,6),(2,7)$

Answer

Expert–verified

Hide Steps

Answer

\boxed{\text{Relation a is a function}}

Steps

Step 1 ：Check if each input (x-value) has exactly one output (y-value) for both relations

Step 2 ：Relation a: $ (2,4),(3,2),(4,2),(5,2) $ - Each input has one output

Step 3 ：Relation b: $ (2,4),(2,5),(2,6),(2,7) $ - Input 2 has multiple outputs

Step 4 ：\boxed{\text{Relation a is a function}}