Asked by Chelsea
                Express the surface area of a cube as a function of its volume.
I did this and got A=6V^(2/3)
That is the formula I got for the described function. However, I also need to find its domain... how do I do this?
            
        I did this and got A=6V^(2/3)
That is the formula I got for the described function. However, I also need to find its domain... how do I do this?
Answers
                    Answered by
            MathMate
            
    Here you have
A(V)=6V^(2/3)
where A is the surface area function and the independent variable is V.
The domain is what values can V take, mathematically and logically.
Mathematically, it is possible to calculate V^(2/3) for Vāā.
Logically, V represents the volume of a solid, which cannot take up negative values.
Can you now suggest the domain of V?
    
A(V)=6V^(2/3)
where A is the surface area function and the independent variable is V.
The domain is what values can V take, mathematically and logically.
Mathematically, it is possible to calculate V^(2/3) for Vāā.
Logically, V represents the volume of a solid, which cannot take up negative values.
Can you now suggest the domain of V?
                    Answered by
            Chelsea
            
    So the domain would be all real numbers greater than or equal to 0?
    
                    Answered by
            MathMate
            
    Correct.
    
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