Question

How do you draw a mapping diagram of the set of ordered pairs (1, 2), (3, 5), (6, 9), (10, 12)?

Answer 1

Hint: In the above problem we are required to map the following pairs. It is the question of set relation so we will use domain and range to solve this problem. The domain of a function f(x) is a set of all values for which the function is defined and a range of the function is a set of all values that f(x) takes. So let’s see how we can solve this problem.

Step by step solution:

From the above diagram, we can see a well-defined one to one mapping from the domain {1, 3, 6, 10} onto the range {2, 5, 9, 12}

Additional Information:
In the above solution, we encountered one to one mapping. Other kinds of mappings are many to one in which one element of the range is associated with more than one element of the domain and one to many in which the one element of the domain is associated with more than one element of the range.

Note:
The above problem was solved with one to one mapping because each element of the range is paired with only one element of the domain. There are other kinds of mapping as well such as many to one and one to many. We will study all of them in detail.