The domain of a graph is the possible x-values of the graph, while the range is the possible y-values.
From the attached graph, we have the following observations.
Other values of x have corresponding negative y-values
The maximum of the graph is at y = 15
Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.
Hence, the proper domain of Noah's graph should be 0 to 2.5 and the maximum of the graph is at y = 15
Read more about domain and graphs at:
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Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the cutout squares used to make it. This is the graph Noah gets if he allows x to take on any value between -1 and 5.
