1. ## Help with Functions

Why does this equation define "y" as a function of "x" ? What would I need to know to answer this question?

x³+y³=1

2. Originally Posted by RaphaelB30
Why does this equation define "y" as a function of "x" ? What would I need to know to answer this question?

x³+y³=1
Definition (from Wikipedia):

A function ƒ from a set X to a set Y associates to each element x in X an element y = ƒ(x) in Y.
Apply the definition to $y = \sqrt[3]{1 - x^3}$.

3. I know how the answer looks like but I still don't understand why its a function.