Given the graph of the piecewise function. The piecewise functionis continuous at. The value of the function atis.
Answer & Analysis
Analysis
Question Analysis
This question tests the concept of continuity for a piecewise function at the boundary point where the pieces meet.
Key Concept Explanation
For a piecewise function to be continuous at a boundary point, the value of the function from both pieces must be equal at that point.
Step-by-step Solution
1. Evaluate the function at using the first piece:
2. Substitute
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