Question

Construct a mapping diagram for the following relation: {(1,6),(2,7),(3,7),(3,6)} Mapping Diagram: ?

Answer 1

A mapping diagram for the relation {(1,6),(2,7),(3,7),(3,6)} maps each element from the domain to the corresponding elements in the range with arrows, showing that 1 maps to 6, 2 maps to 7, and 3 maps to both 7 and 6.

Step-by-step explanation:

To construct a mapping diagram for the relation {(1,6),(2,7),(3,7),(3,6)}, we need to map each element from the domain (first elements of the ordered pairs) to the range (second elements of the ordered pairs) using arrows to show the associations.

Steps to Construct the Mapping Diagram:

1. Write down the domain elements: 1, 2, 3. Note that '3' appears twice because it has two different range elements associated with it.
2. Write down the range elements: 6, 7.
3. Draw arrows from each domain element to its corresponding range element as given in the relation.

The mapping diagram will look as follows:

• 1 → 6
• 2 → 7
• 3 → 7
• 3 (again) → 6