Y = X2
Is a parabolic function.
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y = cuberoot(x) for real x is not a rational function.
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
fundamental difference between a polynomial function and an exponential function?
An example of a wrong function equation is f(x) = sqrt(x) for all non-negative x.
y = x