What is the domain of the function shown in the table?
| x | y |
| --- | --- |
| -2 | 0 |
| -1 | 1 |
| 0 | 2 |
| 1 | 3 |
A. {0,1,2,3}
B. {-2,-1,0,1}
C. (-2,0),(-1,1),(0,2),(1,3)
D. {-2,-1,0,1,2,3}
Answer (1)
The domain of a function is the set of all possible input values (x-values).
Identify the x-values from the table: -2, -1, 0, and 1.
Express the domain as a set: { − 2 , − 1 , 0 , 1 } .
The domain of the function is { − 2 , − 1 , 0 , 1 } .
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 the x-values from the given table.
Identifying x-values From the table, the x-values are -2, -1, 0, and 1. Therefore, the domain of the function is the set containing these values.
Stating the Domain The domain is { − 2 , − 1 , 0 , 1 } .
Examples
In real life, the domain of a function can represent the set of possible inputs for a machine or process. For example, if a function describes the height of a plant over time, the domain would be the time interval during which the plant's height is measured. Understanding the domain helps us know what inputs are valid and meaningful for the function.
