Relations,+Domain,+Range

A Relation is any set of ordered pairs A Function is a Special relation in which the x values or avscissa do not repeat To determine if a relation is a function or not we us the vertical line test The VLT is used by if any #'s in the domain repeat or you can make a vertical line on the x axis then it is not a functon Example: give domain and range of each relation. Is the relation a function? A.{(1,3), (2,5), (3,5),(4,3) D={1,2,3,4} R={3,5} Yes B.(-1,0),(1,0),(0,-1),(-1,1) D={-1,0,1} R={-1,0,1} No

Example: Graphing Relations D={2,1,0,-1,-2} l x l = l y l l y l</= 2 Make a Table you would then graph the points on a grid (-2,2),(-1,1),(0,0),(-1,-1),(-2,-2),(1,1),(2,2),(1,-1),(2,-2)
 * x || y ||
 * 2 or -2 || 2 ||
 * 1 or -1 || 1 ||
 * 0 || 0 ||
 * -1 or 1 || -1 ||
 * -2 or 2 || -2 ||