Find the domain and the range of the square root function,

f: R+ U {0} R f(x) = for all non-negative real numbers.


Also, draw its graph.


Given:


f(x)


To Find: Domain and Range of f(x).


The domain of the given function is set of all positive real


numbers including 0. In this case, if the value of x is a negative


the number then it makes the expression undefined.


Therefore,


Domain(f) = [0, ∞) x є R+ υ {0}


As the value of x varies from 0 to ∞, value of varies from , Hence,


Range(f) = [0, ∞) x є R+ υ {0}


Graph:



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