A graph is a way to see differences in plotted numbers. When one takes two functions, and plugs them into the graph two images will appear. If both images do not follow suit with one another they are determined to not share continuity and vice verse.
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If you are looking at a graph and you want to know if a function is continuous, ask yourself this simple question: Can I trace the graph without lifting my pencil? If the answer is yes, then the function is continuous. That is, there should be no "jumps", "holes", or "asymptotes".
Tangent continuity: No sharp angles. Curvature continuity: No sharp radius changes.
It is the x axis
An answer can be found here:
responses is 547.a Introduction to Continuity