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Practice Worksheet: Relations & Functions - Complete tables, graphs, and mapping diagrams to determine if relations are functions.

Practice worksheet on relations and functions with tables, graphs, mapping diagrams, and ordered pairs for determining if relations are functions.

Practice worksheet on relations and functions with tables, graphs, mapping diagrams, and ordered pairs for determining if relations are functions.

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1] Table: x: -2, 2, -1, 1; y: -1, 1, -2, 2. Graph: Points at (-2,-1), (2,1), (-1,-2), (1,2). Mapping Diagram: Left oval: -2, 2, -1, 1; Right oval: -1, 1, -2, 2; Arrows: -2→-1, 2→1, -1→-2, 1→2. Function? Yes.

2] Set of ordered pairs: {(1,-2), (-3,-1), (1,0), (2,2), (0,3)}. Graph: Points at (1,-2), (-3,-1), (1,0), (2,2), (0,3). Mapping Diagram: Left oval: 1, -3, 2, 0; Right oval: -2, -1, 0, 2, 3; Arrows: 1→-2, 1→0, -3→-1, 2→2, 0→3. Function? No.

3] Set of ordered pairs: {(-2,1), (-1,1), (0,-1), (2,-2)}. Table: x: -2, -1, 0, 2; y: 1, 1, -1, -2. Mapping Diagram: Left oval: -2, -1, 0, 2; Right oval: 1, -1, -2; Arrows: -2→1, -1→1, 0→-1, 2→-2. Function? Yes.

4] Set of ordered pairs: {(-1,-2), (1,-1), (1,0), (2,2), (3,2)}. Table: x: -1, 1, 2, 3; y: -2, -1, 0, 2, 2. Graph: Points at (-1,-2), (1,-1), (1,0), (2,2), (3,2). Function? No.

5] Domain: [-2, 2). Range: [-2, 1]. Function? Yes.

6] Domain: [-2, 2]. Range: [-2, 2]. Function? No.

7] Domain: (-2, 2). Range: [-3, 1]. Function? Yes.
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