Domain and range mapping worksheet with four examples illustrating input-output relationships.

I'll solve this worksheet on finding the domain and range of relations using mapping diagrams.

First, let me understand what I'm looking at. The image shows a worksheet titled "Domain and Range - Mapping" with 6 different mapping diagrams (labeled A through F). Each diagram shows a set of inputs (domain) on the left and outputs (range) on the right, with arrows connecting them to show the relationship.

For each mapping, I need to:
1. Identify all the unique input values (domain)
2. Identify all the unique output values (range)

Let me go through each one systematically.

Mapping A:
- Left side (inputs): 1, 2, 3, 4
- Right side (outputs): 5, 6, 7, 8
- Arrows connect: 1→5, 2→6, 3→7, 4→8
- Domain: {1, 2, 3, 4}
- Range: {5, 6, 7, 8}

Mapping B:
- Left side (inputs): 0, 1, 2, 3
- Right side (outputs): 2, 4, 6, 8
- Arrows connect: 0→2, 1→4, 2→6, 3→8
- Domain: {0, 1, 2, 3}
- Range: {2, 4, 6, 8}

Mapping C:
- Left side (inputs): 1, 2, 3, 4
- Right side (outputs): -10, -5, 0, 5
- Arrows connect: 1→-10, 2→-5, 3→0, 4→5
- Domain: {1, 2, 3, 4}
- Range: {-10, -5, 0, 5}

Mapping D:
- Left side (inputs): -1, 0, 1, 2
- Right side (outputs): -2, 0, 2, 4
- Arrows connect: -1→-2, 0→0, 1→2, 2→4
- Domain: {-1, 0, 1, 2}
- Range: {-2, 0, 2, 4}

Mapping E:
- Left side (inputs): 1, 2, 3, 4
- Right side (outputs): 2, 4, 6, 8
- Arrows connect: 1→2, 2→4, 3→6, 4→8
- Domain: {1, 2, 3, 4}
- Range: {2, 4, 6, 8}

Mapping F:
- Left side (inputs): 1, 2, 3, 4
- Right side (outputs): 3
- Arrows connect: 1→3, 2→3, 3→3, 4→3
- Domain: {1, 2, 3, 4}
- Range: {3} (since all inputs map to the same output)

Now I'll provide the complete solution for the worksheet.

The solutions for each mapping are:

A:
- Domain: {1, 2, 3, 4}
- Range: {5, 6, 7, 8}

B:
- Domain: {0, 1, 2, 3}
- Range: {2, 4, 6, 8}

C:
- Domain: {1, 2, 3, 4}
- Range: {-10, -5, 0, 5}

D:
- Domain: {-1, 0, 1, 2}
- Range: {-2, 0, 2, 4}

E:
- Domain: {1, 2, 3, 4}
- Range: {2, 4, 6, 8}

F:
- Domain: {1, 2, 3, 4}
- Range: {3}

This completes the worksheet. For each relation, the domain consists of all the input values (left side), and the range consists of all the unique output values (right side) that are actually mapped to by the inputs.