Question

What is the table of values for the function y = x^3 - 2?

Answer 1

To create a table of values for the function \( y = x^3 - 2 \), we can calculate the values of \( y \) for a range of \( x \) values. Here’s a table using \( x \) values from -3 to 3:

\[
\begin{array}{|c|c|}
\hline
x & y = x^3 - 2 \\
\hline
-3 & (-3)^3 - 2 = -27 - 2 = -29 \\
-2 & (-2)^3 - 2 = -8 - 2 = -10 \\
-1 & (-1)^3 - 2 = -1 - 2 = -3 \\
0 & (0)^3 - 2 = 0 - 2 = -2 \\
1 & (1)^3 - 2 = 1 - 2 = -1 \\
2 & (2)^3 - 2 = 8 - 2 = 6 \\
3 & (3)^3 - 2 = 27 - 2 = 25 \\
\hline
\end{array}
\]

So, the table of values is:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-3 & -29 \\
-2 & -10 \\
-1 & -3 \\
0 & -2 \\
1 & -1 \\
2 & 6 \\
3 & 25 \\
\hline
\end{array}
\]