Answer
y is a function of x for this equation.
Work Step by Step
This question asks whether the equation defines y as a function of x (one-to-one function)
$x^3 - y^3 = 27$
$y^3 = x^3 - 27$
$y = \sqrt[3] {x^3 - 27}$
For one value of x, there is one value of y, so y is a function of x for this equation.