Answer
see graph
Work Step by Step
The computations below show some of the values of $x$ and $y$ in the given equation, $
y=\sqrt{0.5x}
.$
If $x=-1,$ then
\begin{array}{l}\require{cancel}
y=\sqrt{0.5(-1)}
\\
y=\sqrt{-0.5}
\\
y=\text{not a real number}
\\\text{(*Note that the square root of negative numbers are imaginary numbers)}
.\end{array}
If $x=0,$ then
\begin{array}{l}\require{cancel}
y=\sqrt{0.5(0)}
\\
y=\sqrt{0}
\\
y=0
.\end{array}
If $x=2,$ then
\begin{array}{l}\require{cancel}
y=\sqrt{0.5(2)}
\\
y=\sqrt{1}
\\
y=1
.\end{array}
If $x=8,$ then
\begin{array}{l}\require{cancel}
y=\sqrt{0.5(8)}
\\
y=\sqrt{4}
\\
y=2
.\end{array}
If $x=18,$ then
\begin{array}{l}\require{cancel}
y=\sqrt{0.5(18)}
\\
y=\sqrt{9}
\\
y=3
.\end{array}
Using the table of values below, the graph of the given function is shown.
