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:
1