To determine the domain of the function represented by the sequence of numbers (3, 2, 6, 1, 1, 4, 5, 9, 4, 0), we first need to understand what a domain represents in the context of functions.
The domain of a function is the complete set of possible values of the independent variable (often represented as x) for which the function is defined. In the case of a sequence of numbers, we assume that these numbers can represent outputs of a function for corresponding input values.
If we consider the sequence as function values for integer inputs starting from 1, we can outline the domain:
- For input 1, the output is 3.
- For input 2, the output is 2.
- For input 3, the output is 6.
- For input 4, the output is 1.
- For input 5, the output is 1.
- For input 6, the output is 4.
- For input 7, the output is 5.
- For input 8, the output is 9.
- For input 9, the output is 4.
- For input 10, the output is 0.
Thus, the inputs go from 1 to 10. Therefore, the domain of the function can be described as all integers from 1 to 10, inclusive. In interval notation, this would be written as [1, 10].