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soty2013
How to find Domain and range of any given function ?
You have to find when the function is undefined or doesn't produce real numbers to find the domain. The range is a bit trickier, but another method is to use the graph of the function
Sir please help in details
i am totally confused by reading multiple books, and finally i am totally confused. Plz help
(x,y) x=domain y=range
I don't think he is gonna come..
to find the domain , you need to find what cant be an input and exclude that from the real numbers, to find the range take the inverse of the function and do the same thing to the inverse
it is really a lot easier to answer a question like this with a specific example. it depends almost entirely on the given function
for example, if you have a trigonometric function like \(\sin(x)\) whose domain is all real numbers and whose range is \([-1,1]\) you have to know something about the function to start even more so with a function like \(\arcsin(x)\) whose domain is \([-1,1]\) and whose range is \([-\frac{\pi}{2},\frac{\pi}{2}]\)
correct, the way I explained was a general way that assumed the function was 1 to 1
so there is not one mathematical method "find the domain" or "find the range" the real truth is that the domain is supposed to be part of the definition of the function to begin with, so the question "find the domain" is in fact inaccurate
it would be much more enlightening to ask "find the domain and range of \(f(x)=\frac{x-1}{x+1}\) or something more specific
is it applicable to each type of functions ?