In simple words, domain is another word for the x-values in a set of ordered pairs.
Example: List the domain
(1,5) (4,8) (6,9) (5,2) (8,9)
Your answer would be...
Domain - {1,4,6,5,8}
You know how a coordinate has an x and y number (x,y)? Well that is ALL the domain is. It is the number that is in the x position of the coordinate.