Where is the function continuous? Differentiable? Use the graph of f in the figure to do the following. <IMAGE>
b. Find the values of x in (0, 3) at which f is not differentiable.

Verified step by step guidance

1. Step 1: Understand the concepts of continuity and differentiability. A function is continuous at a point if there is no interruption in the graph at that point. A function is differentiable at a point if it has a defined tangent (slope) at that point, meaning the graph is smooth and not sharp or vertical.
2. Step 2: Analyze the graph of the function f in the interval (0, 3). Look for any points where the graph has breaks, jumps, or holes, as these indicate points of discontinuity. Also, identify any sharp corners or vertical tangents, as these indicate points where the function is not differentiable.
3. Step 3: Identify any points of discontinuity in the interval (0, 3). If the graph is continuous throughout this interval, then there are no points of discontinuity.
4. Step 4: Identify any points where the function is not differentiable in the interval (0, 3). These could be points where the graph has sharp turns or vertical tangents.
5. Step 5: List the values of x in the interval (0, 3) where the function is not differentiable, based on your analysis of the graph.