Question

draw a graph that is continuous, but not differentiable, at x = 2. choose the correct graph below.

Explanation:

Step1: Recall continuity and differentiability rules.

A function is continuous if no breaks, differentiable if smooth.

Step2: Analyze each graph at x = 2.

Check for sharp - corners or breaks.

Answer:

A graph with a sharp - corner at x = 2 is continuous but not differentiable there. Without seeing the full details of each graph, look for a graph with a corner at x = 2.