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The given function is \( y = 5^x \), and you need to complete the missing values in the table for different values of \( x \).

### Table Setup:
For the equation \( y = 5^x \), we calculate the values of \( y \) based on the corresponding values of \( x \):

- When \( x = -2 \), \( y = 5^{-2} = \frac{1}{25} \) (already given).
- When \( x = -1 \), \( y = 5^{-1} = \frac{1}{5} \) (this is the missing value).
- When \( x = 0 \), \( y = 5^0 = 1 \) (already given).
- When \( x = 1 \), \( y = 5^1 = 5 \) (already given).
- When \( x = 2 \), \( y = 5^2 = 25 \) (this is missing).
- When \( x = 3 \), \( y = 5^3 = 125 \) (this is missing).

### Completed Table:

\[
\begin{array}{c|c}
x & y = 5^x \\
\hline
-2 & \frac{1}{25} \\
-1 & \frac{1}{5} \\
0  & 1 \\
1  & 5 \\
2  & 25 \\
3  & 125 \\
\end{array}
\]

Would you like to go over any step in more detail?

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Here are 5 related questions to expand your understanding:

1. How does the function \( y = 5^x \) behave as \( x \) increases or decreases?
2. What is the general form of exponential growth functions?
3. How do the values of \( y \) change when \( x \) is negative in an exponential function?
4. Can you plot the graph of \( y = 5^x \) for the given values of \( x \)?
5. How would you solve for \( x \) if you were given a specific value of \( y \) in this function?

**Tip:** Exponential functions grow very quickly when the base is greater than 1, and their graphs increase rapidly as \( x \) becomes larger.

Complete the missing parts of the table for the following function y = 5^x.

Complete the table for the exponential function y = 5^x, calculating values for x = -1, 2, and 3. This problem covers key exponential function concepts and involves calculating powers of 5 for both positive and negative exponents.

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