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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.

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24dmast

Answer:

for more appropriate it would be 0-2.5, and the max is 15

Step-by-step explanation:

MrRoyal

The domain of a graph is the possible x-values of the graph, while the range is the possible y-values.

  • The proper domain of Noah's graph is 0 to 2.5
  • The maximum volume of the graph is 15

From the attached graph (see attachment), we have the following observations.

  1. The x values starts from -1 and ends at 5
  2. The domain of the graph is from 0 to 4 (i.e. x-values 0 to 4 have corresponding y-values on the graph)
  3. x-values 0 to 2.5 have corresponding non-negative y-values
  4. Other values of x have corresponding negative y-values
  5. 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:

https://brainly.com/question/1982148

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