Question

c. what do the x - intercepts of the graph mean in this context? the intercepts represent the side lengths of the cut squares that will result in a box with zero volume. the intercept is not meaningful because it is not possible to cut this length from each corner of an 8 - inch side.

Explanation:

The x - intercepts of the graph of a function related to the volume of a box formed by cutting squares from the corners of an 8 - inch side represent the side lengths of the cut - out squares that result in a box with zero volume. In the context of the physical problem of creating a box, non - negative side lengths make sense. A side length that gives zero volume might be an unrealistic or non - physical value in terms of actually making a box.

Answer:

The x - intercepts represent the side lengths of the cut squares that result in a box with zero volume. The intercept is not meaningful because it is not possible to cut squares in a way that makes a non - existent box (in a practical sense for creating a three - dimensional container).