Determine whether the relation is a function.
Input
People who live in the country
Correspondence
Birth date
Output
Days of the year
Choose the correct answer.
A. The relation is a function.
B. The relation is not a function.
A. The relation is a function.
To determine if the given relation is a function, we need to check if each input (people who live in the country) corresponds to exactly one output (days of the year).
Based on the information provided, it is possible for multiple people who live in the country to share the same birth date. This means that one input (birth date) could correspond to multiple outputs (days of the year).
Therefore, the correct answer is B. The relation is not a function.
To determine if the relation between "People who live in the country" and "Birth date" is a function, we need to check if each input (person) has a unique output (day of the year).
First, we need to understand the concept of a function. In mathematics, a function is a rule that associates each input with exactly one output. In other words, for each person in the input set, there should be only one corresponding birth date in the output set.
In this case, if every person who lives in the country has a unique birth date (i.e., no two people were born on the same day), then the relation is a function. This means that every individual has a specific day of the year corresponding to their birth.
However, if there are multiple people who have the same birth date, then the relation is not a function. This would mean that there are at least two inputs (people) that share the same output (day of the year).
Since we don't have any information about the uniqueness or duplication of birth dates among people who live in the country, we cannot definitively determine if the relation is a function or not. The answer cannot be determined based on the provided information.