The function is .
The function is called piecewise defined function.
Find the domain of .
If then the function is
.
All possible values of is the domain of the function.
The function does not have any radicals.
\The domain of the function is the set of all real numbers.
\Find the domain of .
If then the function is
.
All possible values of is the domain of the function.
The function does not have any radicals.
\The domain of the function is the set of all real numbers.
\Domain of the piecewise function is
.
\
Graph of the function .
Hallow circle indicates that the point is excluded from the function.
\Solid circle indicates that the point is included in the function.
\ \Domain of the piecewise function is
.
Graph of the function is