Graph the function. Identify three points on the graph.
\[
f(x)=x^{2}
\]
Given the x-coordinates, determine the $y$-coordinates of three points on the graph.
\begin{tabular}{c|c}
$\mathrm{x}$ & $\mathrm{y}$ \\
\hline-1 & $\square$ \\
0 & $\square$ \\
1 & $\square$
\end{tabular}
(Simplify your answers. Type integers or decimals.)

Step 1 ：The function given is \(f(x) = x^{2}\). This is a simple quadratic function, where each y-coordinate is the square of its corresponding x-coordinate.

Step 2 ：Given the x-coordinates, we can determine the y-coordinates by substituting the x-values into the function.

Step 3 ：For \(x = -1\), \(f(-1) = (-1)^{2} = 1\).

Step 4 ：For \(x = 0\), \(f(0) = (0)^{2} = 0\).

Step 5 ：For \(x = 1\), \(f(1) = (1)^{2} = 1\).

Step 6 ：So, the three points on the graph are (-1, 1), (0, 0), and (1, 1).

Step 7 ：The completed table is: \begin{tabular}{c|c} $\mathrm{x}$ & $\mathrm{y}$ \\ \hline -1 & 1 \\ 0 & 0 \\ 1 & 1 \end{tabular}