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 understanding of continuity at a specific point for a piecewise function, ensuring that the left-hand limit, right-hand limit, and the function value at that point are equal.
Key Concept Explanation
For a piecewise function to be continuous at a specific point, the value of the function from the left must equal the value of the function from the right, and both must equal the function value at that point.
Step-by-step Solution
1. Identify the piece of the function that applies to .
2. Since is in the interval , use the expression .
3. Substitute
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.