What is the domain of the function in this table?
| x | y |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 3 | 3 |
| 4 | 2 |
A. {1,2,3,4}
B. (1,2)
C. {2,3,4}
D. (1,2),(2,4),(3,3),(4,2)
Answer (1)
The domain of a function is the set of all possible input values (x-values).
Identify the x-values from the table: 1, 2, 3, and 4.
Express the domain as a set: 1 , 2 , 3 , 4 .
The final answer is: A
Explanation
Understanding the Domain The domain of a function is the set of all possible input values (x-values). In this case, we need to identify all the x-values present in the given table.
Identifying the x-values Looking at the table, the x-values are 1, 2, 3, and 4. Therefore, the domain is the set containing these values.
Stating the Domain The domain of the function is the set ${1, 2, 3, 4}$.
Selecting the Correct Option The correct answer is A.
Examples
Understanding the domain of a function is crucial in many real-world applications. For example, if you are tracking the growth of a plant over several weeks, the domain would represent the set of weeks for which you have data. Similarly, if you are analyzing the sales of a product over several months, the domain would be the set of months included in your analysis. Knowing the domain helps you understand the scope and limitations of your data, ensuring that you draw accurate conclusions and make informed decisions.
