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Y = X2 Is a parabolic function.
no, but y = x2 is a function
No, because there is more than one solution: y2 = x2 y = ±(x2)1/2 y = ±x Because there are multiple solutions for a single value of x, this does not qualify as a function.
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.