### Home > A2C > Chapter 1 > Lesson 1.1.2 > Problem1-21

1-21.

Make a table and graph the function $f\left(x\right)=\frac{1}{2}x^2$. Describe all of the possible input and output values.

Notice that it is a quadratic equation. (Your graph should be a parabola.) Substitute values for $x$ and make a table.

Be sure you include negative numbers in your table.

$\left. \begin{array} { c | c | c | c | c | c } x & { - 4 } & { - 2 } & { 0 } & { 2 } & { 4 } \\ \hline f ( x ) & { 8 } & { 2 } & { 0 } & { 2 } & { 8 } \\ \end{array} \right.$

All real numbers are possible for input values and all numbers greater than or equal to zero are possible for output values.

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