Yes, the expression; y = x³ is a function because it passes the vertical line test.
Discussion:
By definition, a function from a set x to a set y assigns to each element of x exactly one element of y.
On this note, the set containing all possible values of x is called the domain of the function and the set y is called the co-domain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
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