\(V(x)\) gives volume in cubic meters on the physical domain \(0~\le~x~\le~10~\text{meters}\). It has zeros at \(0\) and \(10\) and is positive for \(0~<~x~<~10\). Interpret the boundary values and positive interval in context.

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The volume is 0 cubic meters at the boundary inputs 0 and 10 meters, and it is positive only for inputs strictly between 0 and 10 meters.

The model swaps input meters and output cubic meters when interpreting the boundary points.

The features are interpreted without checking the physical domain from 0 to 10 meters.

The volume is negative for every input strictly between 0 and 10 meters.

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Curriculum context

Course: Math III
Standard: F-IF.7.c
Category: Functions
Domain: Interpreting Functions
Objective: Graph polynomial functions using zeros, factorizations, and end behavior.
Problem type: Interpret polynomial zeros, sign intervals, and extrema in context