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Actually Welcome to the Concept of the Functions.
Since, the above function is a square root function, we must always keep it's domain as Positive Real numbers, such that it will not went to the imaginary axis, hence
D: R+
Range, for range we equate it to 0 ,
hence we get as,
R: x belong from 0 to positive Infinite
As, x---> infinite, f(x) ---> - infinite
As, x----> 0 , f(x) -----> 0
increasing interval, we have to differentiate it, we get as
-4 to 0
Decreasing interval is 0 to infinite