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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