In the context of this relationship between the height of a pillar and its weight, it would not make sense to have negative values for the height of the pillar. A pillar cannot have a negative height in real-world situations. Therefore, when creating a graph for this relationship, we would only plot the h-values greater than or equal to 0 to stay within the context of the problem.
Even though cube root functions normally have a domain of all real numbers, in this specific scenario it is more appropriate to only consider non-negative values for the height of the pillar. This allows us to accurately model the relationship between the height and weight of the pillar and make sense in real-world applications.
the relationship between the height of a pillar in feet (h) and the pillar's weight in tons (w) is given in the following table
h(in feet) 0 1 8 27
w(in tons) 0 1 5/2 5 15/2
This relationship can be modeled by a cube root function. Explain why we would only graph it for h-values greater than or equal to 0 when creating a graph of the cube root function that models this relationship, even though cube root functions normally have a domain of all real numbers. (Hint: consider the context)
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