To create a mapping diagram for the relation given by the numbers 2, 6, 0, 3, 1, 5, 5, 0, we need to first understand what a mapping diagram represents. A mapping diagram visually shows how elements from one set (the domain) relate to elements in another set (the range).
In our case, let’s treat the provided numbers as pairs, resulting in the following pairs of input and output values:
- (2, 5)
- (6, 0)
- (0, 3)
- (1, 5)
- (5, 0)
Now we can denote the input set (domain) as {2, 6, 0, 3, 1, 5} and the output set (range) as {5, 0, 3}. To create the mapping diagram:
- Draw two vertical lines. The left line represents the domain and the right line represents the range.
- Label the left line with the domain values: 2, 6, 0, 3, 1, and 5.
- Label the right line with the range values: 5, 0, and 3.
- Draw arrows from each domain value to the corresponding range value based on the pairs we identified earlier.
The completed mapping diagram will visually represent the relationships between the inputs and outputs based on your data. This helps to clarify how each number in the domain relates to its image in the range.