Given the graph of the piecewise function. The piecewise functionis continuous atif the value of the function atis.
Answer & Analysis
Analysis
Question Analysis
This question tests the concept of continuity for a piecewise function at a specific point. It requires evaluating the function from both sides of the point and ensuring the values match.
Key Concept Explanation
A piecewise function is continuous at a point if the left-hand limit, right-hand limit, and the function value at that point are all equal.
Step-by-step Solution
1. Identify the interval for . Since is in the interval , use the first piece .
2. Substitute
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