Use the graph of $f\(\left\)(x\(\right\))$ to determine if the function is continuous or discontinuous at $x=c$.
$c=3$

• A. Continuous
• B. Discontinuous

Answer: (B)

Verified step by step guidance

1. Identify the point of interest on the graph, which is at x = 3.
2. Observe the behavior of the function as it approaches x = 3 from both the left and the right.
3. Check if the function has a defined value at x = 3 by looking for a filled dot on the graph at this x-coordinate.
4. Determine if the left-hand limit and the right-hand limit as x approaches 3 are equal.
5. Conclude whether the function is continuous at x = 3 by verifying if the function value at x = 3 matches the common limit from both sides.