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Finding range of function

No.1455766 View ViewReplyOriginalReport
The same guy from >>1454137 here, still half-retarded. Thanks to the anon who explained my last question.
This time what I can't understand is how to find the range of a function (or the set of all solutions) - specifically, a function where the variable is in the denominator and the domain is limited.
The pic shows a slice of function
>f(x)=4/(x+2).
I don't know how to force the google search engine to accept the additional parameter of
>x>=0
meaning that the graph is supposed to start at the y-axis, at the coordinates (0,2), and keep going right until infinity.
Now, I know that if I substitute the zero for the "x" in the function, I will get the upper limit of the function's range: 2. That's the easy part.
I also know that because it's a fraction, the graph will forever approach 0, but never actually reach the x-axis, and so the range of the function would be 0<f(x)=<2 - I just have no idea how to prove it mathematically.