Given the graph of the piecewise function. The domain of the piecewise functionis.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of determining the domain of a piecewise function, which involves considering the domains of each piece and their union.
Key Concept Explanation
The domain of a piecewise function is the union of the domains of its individual pieces. For the given function, the first piece is defined for all and the second piece is defined for all .
Step-by-step Solution
1. Determine the domain of the first piece for . This is all real numbers less than or equal to 2, i.e., .
2. Determine the domain of the second piece
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.