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The function \( y = x^4 \) is evaluated at the given \( x \) values. Here is the completed table:

\[
\begin{array}{|c|c|}
\hline
x & y = x^4 \\
\hline
-3 & 81 \\
-2 & 16 \\
-1 & 1 \\
0  & 0 \\
1  & 1 \\
2  & 16 \\
3  & 81 \\
\hline
\end{array}
\]

Let me know if you'd like further details or explanations. 

Here are five related questions to extend your understanding:
1. What would the table look like for the function \( y = x^3 \)?
2. How does the graph of \( y = x^4 \) differ from \( y = x^2 \)?
3. What happens to the value of \( y \) as \( x \) becomes larger or smaller?
4. How would the table change if the function was \( y = x^4 + 2 \)?
5. How does the symmetry in this function affect its graph?

**Tip:** Functions like \( y = x^4 \) exhibit symmetry around the y-axis because they are even functions.

Fill in the table for the given function: y = x^4

Explore the properties of the function y = x^4, including how to calculate values, understand its graph, and recognize its symmetry. This content is suitable for high school students learning about functions and exponents.

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