Identify which (if any) of the given graphs represent functions continuous on their...

Identify which (if any) of the given graphs represent functions continuous on their domains. HINT [See Quick Examples page 205.

Quick Example:

1. The function shown in Figure 9 is continuous at x=-1 and x = 2. It is discontinuous at x = 0 and x = 1, and so is not continuous on its domain.

2. The function is continuous on its domain. (Think of its graph, which contains no breaks).

3. The function f whose graph is shown on the left in the following figure is continuous on its domain. (Although the graph breaks at x = 2, that is not a point of its domain.) The function g whose graph is shown on the right is not continuous on its domain because it has a discontinuity at x = 2. (Here, x = 2 is a point of the domain of g.)