Solution:
Given that the relationshoip between the length of the cube and its volume is expressed as
[tex]\begin{gathered} f(x)=x^3 \\ where \\ x\Rightarrow length\text{ of the cube} \\ \end{gathered}[/tex]The range of the above function is the dependent values for which the function is real.
Given that the domain of the function is from 1 foot to 4 feet, this implies that
[tex]\begin{gathered} f(x)=x^3 \\ when\text{ x=x1,} \\ f(1)=1^3 \\ \Rightarrow f(1)=1 \\ when\text{ x = 4} \\ f(4)=4^3 \\ \Rightarrow f(4)=64 \\ \\ \\ \\ \end{gathered}[/tex]Hence, the range of the function in cubic feet varies from 4 to 64
