Answer:
Step-by-step explanation:
[tex]To find the values of \( y \) for the function \( f(x) = 3\sqrt{x} \) at various values of \( x \), we substitute the given \( x \) values into the function and calculate \( y \).[/tex]
Let's fill in the table:
\[
\begin{array}{|c|c|}
\hline
x & y = f(x) = 3\sqrt{x} \\
\hline
-8 & \text{Undefined (Since the square root of a negative number is undefined in the real number system)} \\
-1 & \text{Undefined (Since the square root of a negative number is undefined in the real number system)} \\
0 & 3\sqrt{0} = 3 \times 0 = 0 \\
1 & 3\sqrt{1} = 3 \times 1 = 3 \\
8 & 3\sqrt{8} = 3 \times \sqrt{8} = 3 \times 2\sqrt{2} = 6\sqrt{2} \\
\hline
\end{array}
\]
So, the completed table is:
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-8 & \text{Undefined} \\
-1 & \text{Undefined} \\
0 & 0 \\
1 & 3 \\
8 & 6\sqrt{2} \\
\hline
\end{array}
\]
