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Identify whether the following statement is true or false. A graph will only be continuous if the data being plotted on each axis is continuous.

Question

Identify whether the following statement is true or false. A graph will only be continuous if the data being plotted on each axis is continuous.

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Solution

The statement is false. A graph can be continuous even if the data being plotted on each axis is not continuous. Continuity of a graph is determined by the nature of the relationship between the variables, not the continuity of the data on each axis. For example, a graph of a function that maps integers to integers can still be continuous if the function is defined in such a way that there are no breaks or jumps in the graph.

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