range of y=sin(2x) is [-1;1]
and in generally when is y=sin(k*x) (k=....-1,0,1....) range is always [-1;1] and the period is w=(2pi)/k
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dy/dx = 2cos2x
The range of y=2x is All Real Numbers
y=|x|/4 The range is [0 , ∞ )
The range depends on the domain, which is not specified.
sin2X = sin2X What is it about ' equation ' you do you not understand. Of course they are equal!