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No. y = x2 - 4 describes a parabola, which means that for each value of x, there will be two values of y. This is not a one to one function.
Y=sin X is a function because for each value of X, there is exactly one Y value.
If the question is, Is y = x4 an exponential function ? then the answer is no.An exponential function is one where the variable appears as an exponent.So, y = 4x is an exponential function.
y = x This is a line and a function. Function values are y values.
Without additional information, one can only say that y is a function of x, w and t.
It would be less steep