Give an example of a relation in real life, and explain why it is a function.

1 answer

One example of a relation in real life that is also a function is the relationship between a person's age and their height. In this case, the input (age) is being mapped to a single output (height).

This relation is a function because for a given age, there is only one corresponding height. Each age has a unique height associated with it, and there are no instances where one age can have multiple heights. For example, if a person is 10 years old, their height may be 4 feet 8 inches. This height is specific to their age and will not change. Therefore, for every age, there is a unique and consistent height, making the relation a function.