In any function y = f(x) , set of all possible values of x define the domain of f(x), in the graph The curve in terms of x-axis(in 1st & 3rd quadrant) goes from -4 to -2(doesnt include -2).
So domain = [-4, -2)
Similarly, in 2nd and 4th quadrant, for x-axis
It goes from 2 to 5 (doesnt include 2 & 5)
So domain = (2, 5)
Hence,
Domain of the f(x) is [-4, -2) U (2, 5).
Range tells the possible values of y, for this function it goes from -5 to +3(doesnt include 3).
Range is [-5, 3)