Practice Worksheet: Relations & Functions - Exercises to convert between different representations and determine if relations are functions.

Final Answer:
1] Table: x = -2, 2, -1, 1; y = -1, 1, -2, 2. Graph: plot points (-2,-1), (2,1), (-1,-2), (1,2). Mapping: left oval has -2,2,-1,1; right oval has -1,1,-2,2; arrows from each x to its y. Function? Yes.
2] Set: {(1,-2), (-3,-1), (1,0), (2,2), (0,3)}. Graph: plot those points. Mapping: left has 1,-3,2,0; right has -2,-1,0,2,3; 1 points to both -2 and 0. Function? No.
3] Set: {(0,3), (1,2), (2,1), (3,0), (1,-2)}. Table: x=0,1,2,3,1; y=3,2,1,0,-2. Graph: plot those points. Mapping: 1 points to both 2 and -2. Function? No.
4] Set: {(-1,-2), (1,-1), (2,0), (3,2)}. Table: x=-1,1,2,3; y=-2,-1,0,2. Graph: plot those points. Mapping: each x to one y. Function? Yes.
5] Domain: -2 < x ≤ 2; Range: -2 < y ≤ 1; Function? Yes.
6] Domain: -2 ≤ x ≤ 2; Range: -2 ≤ y ≤ 2; Function? No.
7] Domain: -2 < x < 2; Range: -4 ≤ y ≤ 1; Function? Yes.