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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

True or False Statement Analysis

  1. Understanding the Concepts:

    • A graph is considered continuous if there are no breaks, jumps, or holes in the line or curve that represents the data.
    • Continuous data means that the data can take any value within a given range, and there are no gaps in the possible values.
  2. Examining the Statement:

    • The statement suggests that for a graph to be continuous, the data plotted on both axes must be continuous.
    • If either of the axes has discrete data, this could lead to breaks or gaps in the graph, making it not continuous.
  3. Conclusion:

    • Therefore, the statement is true. A graph will only be continuous if the data being plotted on each axis is continuous, as the nature of the data on both axes directly affects the continuity of the graph.

Final Answer

The statement is true. A graph will only be continuous if the data being plotted on each axis is continuous.

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