Fill in each table so that each ordered pair is a solution...

Fill in each table so that each ordered pair is a solution of the given function.
$$
\begin{aligned}
&f(x)=2 x^{2}\\
&\begin{array}{|r|r|}
\hline \boldsymbol{x} & \boldsymbol{y} \\
\hline 0 & \\
\hline 1 & \\
\hline-1 & \\
\hline 2 & \\
\hline-2 & \\
\hline
\end{array}
\end{aligned}
$$

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Key Concepts

Quadratic Function

A quadratic function is defined by an expression where the variable is squared, typically written as f(x) = ax² + bx + c. In the given example, the function is quadratic, meaning its graph is parabolic and exhibits features such as symmetry about its axis.

Domain and Range

The domain of a function is the complete set of possible input values, while the range consists of all the output values obtained by applying the function to the domain. Organizing data into ordered pairs helps illustrate how each element of the domain is transformed into its corresponding range element.

Function Evaluation

This concept involves applying the function's rule to a given input by substituting the value into the expression and calculating the result. It is fundamental in determining how each input from the domain maps to an output in the range.

Ordered Pair as a Solution

An ordered pair (x, y) is recognized as a solution to a function if, when the function is evaluated at x, it produces y. This concept reinforces understanding of the correspondence between each input and its respective output.

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