Question

For each relation, decide whether or not it is a function.

Domain
sky
tree
leaf
cloud
Function
Not a function
Relation 1.
Function
Not a function
Range
7
Relation 3
{(m, m),(m, d),(v, v), (v, r)}
Domain
-2
Function
Not a function
Relation 2
Function
Not a function
Range
Relation 4
{(4, z),(4, e), (3, f), (9, z)}

Answer 1

Relation 1 & 2 are functions

Relation 3 & 4 are not functions

Explanation:

For a relation to be a function every x must have one and only one y

This is not true for relation 3 which has 2 y's at x = m and 2 y's at x = v

This is also not true for relation 4 which has 2 y's at x = 4