Graphing something on the same set of axes means plotting two or more different mathematical functions or data sets on the same coordinate system, allowing for a direct comparison of their behaviors and relationships.
For instance, if you have the equations for two lines, graphing them on the same set of axes enables you to visualize their intersections, slopes, and how they correlate with each other across various values of the independent variable. This technique is widely used in mathematics, science, and economics, among other fields, to simplify complex relationships and identify trends.
By overlaying multiple graphs, you can quickly assess whether one function is greater than, less than, or equal to another at any point, which provides valuable insights that might be missed if the graphs were plotted separately.