Question 1014441
Determine whether or not the equation represents y as a function of x. Please show work. 
(x^3)y=-4
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{{{x^3*y}}} = -4.

Yes, this relation determines y as a function of x: y = -{{{4/x^3}}}.

This function is defined for all positive x: x > 0.

For each value of x, it determines one value of y (unique value of y.

For example, 

y(1)   = -{{{4/1^3}}} = -{{{4/1}}} = -4;

y(1/2) = -{{{4/(1/2)^3}}} = -{{{4/((1/8))}}} = -32;

y(2)   = -{{{4/2^3}}} = -{{{4/8}}} = -{{{1/2}}}.
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