Answer
$\text{Domain: }
[0,\infty)
\\\text{Range: }
[-1,\infty)$
Work Step by Step
The black graph is the parent graph, $
f(x)=\sqrt{x}
.$
The red graph is the graph of $
h(x)=\sqrt{x}-1
.$ It is the result of shifting the points of the parent graph $1$ unit down.
The $x-$values of the given function, $
h(x)=\sqrt{x}-1
,$ are non-negative real numbers. The $y-$values are from $-1$ up to infinity. Hence, the given function has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Domain: }
[0,\infty)
\\\text{Range: }
[-1,\infty)
.\end{array}
