This algebra worksheet helps students practice identifying functions using various representations like mapping diagrams, tables, and coordinate graphs.

1. Relation: {(1,2), (3,4), (5,6)}
Domain: {1, 3, 5}
Range: {2, 4, 6}
Function? Yes

2. Relation: Points on coordinate grid at (-2,1), (0,3), (2,1), (4,-1)
Domain: {-2, 0, 2, 4}
Range: {-1, 1, 3}
Function? Yes

3. Relation: Points on coordinate grid at (-3,2), (-1,0), (1,2), (3,0)
Domain: {-3, -1, 1, 3}
Range: {0, 2}
Function? Yes

4. Relation: Table with x: 1,2,3,4 and y: 3,6,9,12
Domain: {1, 2, 3, 4}
Range: {3, 6, 9, 12}
Function? Yes

5. Relation: Points on coordinate grid at (0,0), (1,1), (2,4), (3,9)
Domain: {0, 1, 2, 3}
Range: {0, 1, 4, 9}
Function? Yes

6. Graph: Straight line through origin with positive slope
Domain: All real numbers
Range: All real numbers
Function? Yes

7. Graph: Circle centered at origin
Domain: [-r, r] (where r is radius)
Range: [-r, r]
Function? No

8. Graph: Sine wave oscillating above and below x-axis
Domain: All real numbers
Range: [-a, a] (where a is amplitude)
Function? Yes