Answer
Looking at a graph can help to know where the graph is continuous, simply by a simple rule that anywhere the graph has no breaks the graph is continuous.
Work Step by Step
Looking at a graph can help to know where the graph is continuous, simply by a simple rule that anywhere the graph has no breaks the graph is continuous.
In other words, as long as the graph does not show these signs of discontinuity, we can say that it is continuous at that point:
- The graph does not jump at that point, either just jumping at that point and returning to the same value or completely moving to a new value.
- The graph is defined at that point, which includes the case of infinite discontinuity.
- The graph does not oscillate too much at that point.
