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 in piecewise functions, specifically ensuring that the left-hand limit and right-hand limit at the boundary point are equal.
Key Concept Explanation
A piecewise function is continuous at a boundary point if the value of the function from the left side equals the value of the function from the right side at that point.
Step-by-step Solution
1. Identify the appropriate piece for : (since )
2. Substitute
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