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give an example of calculation of mathematics
y² = x --> y = ±√x Because there are *two* square roots for any positive number (positive and negative) this will not be a function.
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
Y = X2 Is a parabolic function.
y = cuberoot(x) for real x is not a rational function.