Given the graph of the piecewise function. The domain of the piecewise functionis.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the domain of a piecewise function, which is the union of the domains of its individual pieces.
Key Concept Explanation
The domain of a piecewise function is the set of all possible input values (x-values) for which the function is defined. In this case, the function is defined for all real numbers.
Step-by-step Solution
1. Identify the intervals for each piece of the function:
For , the interval is .
For , the interval is .
2. Combine the intervals to find the domain:
The first piece covers
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