Answer
The domain: $D = \left\{ {\left( {x,y,z} \right)|x,y,z \in R} \right\}$
The range: $\left( { - \infty ,\infty } \right)$.
Work Step by Step
The function $f\left( {x,y,z} \right) = xz + {{\rm{e}}^y}$ is defined for any real numbers $x$, $y$ and $z$. So, the domain is
$D = \left\{ {\left( {x,y,z} \right)|x,y,z \in R} \right\}$
The range takes on all values in the infinite interval $\left( { - \infty ,\infty } \right)$.
