3-1 Relations A relation is a set of points. {(2,3),(-2,1),(-4,-2),(2,-2)} The domain is the set of x-values (or 1st values) D = {-4,-2,2}: written from least to greatest without repeats. The range is the set of y-values (or 2nd values) R = {-2, 1, 3}: written from least to greatest without repeats. (2,3) (-2,1) (-4,-2) (2,-2)

Relations Table Graph Mapping Set of Ordered Pairs X Y 2 -2 -4 3 1 (2,3) (-2,1) (-4,-2) (2,-2) Mapping X Y -4 -2 2 1 3 Set of Ordered Pairs {(2,3), (-2,1), (-4,-2), (-2,-2)}

Express the relation {(4,3), (-2,-1), (-3,2), (2,-4), (0,-4)} as a table, a graph and a mapping. Then state the domain and range. Table X Y Mapping X Y Domain: Range:

Check Your Progress with Example 2A & 2B (p. 144) Domain: {1,4,6,7} Range: {7,28,42,49} 2B

Inverse Relations An inverse relation is when you swap the x and y. The inverse of (3,5) is (5,3) Given: {(2,3), (-2,2), (-4,-2), (2,-1)} Inverse: {(3,2), (2,-2), (-2,-4), (-1,2)}

Express the relation shown in the mapping as a set of ordered pairs, then write the inverse of the relation. Relation: {(5,1), (7,2), (4,-9), (0,2)} X Y 4 5 7 -9 2 1 Inverse: {(1,5), (2,7), (-9,4), (2,0)}

Homework #20 p. 146 8-17 (all), 22-28 (even), 30-33 (all), 37, 38