Question

determine whether the relation is a function. give the domain and the range of the relation.
{(3,4),(3,6),(4,4),(4,6)}
is this a function?
yes
no

Explanation:

Step1: Check function definition

A relation is a function if each input (x-value) has exactly one output (y-value). For the set $\{(3,4),(3,6),(4,4),(4,6)\}$, the x-value 3 maps to 4 and 6, and x-value 4 maps to 4 and 6.

Step2: Identify domain

Domain is all unique x-values: $\{3, 4\}$

Step3: Identify range

Range is all unique y-values: $\{4, 6\}$

Answer:

Is this a function? No
Domain: $\{3, 4\}$
Range: $\{4, 6\}$