The data in the table appears to represent exponential growth. Let's analyze the $x$ and $y$ values to find the relationship:

$x$	$y$
0	0.04
1	0.2
2	1
3	5
4	25

By observing the pattern, each $y$-value seems to be multiplied by 5 as $x$ increases by 1. This suggests the relationship:

$y = 0.04 \times 5^x$

So, the function can be written as:

$y = 0.04 \times 5^x$

Explanation:

• When $x = 0$, $y = 0.04$, which matches the given value.
• When $x = 1$, $y = 0.04 \times 5 = 0.2$.
• When $x = 2$, $y = 0.04 \times 5^2 = 1$.
• When $x = 3$, $y = 0.04 \times 5^3 = 5$.
• When $x = 4$, $y = 0.04 \times 5^4 = 25$.

Would you like further details or have any questions?

Here are 5 relative questions based on the function:

1. How does the function behave as $x$ becomes very large?
2. What is the significance of the base 5 in the function?
3. Can you rewrite the function in logarithmic form?
4. How would you find the inverse of this function?
5. How would a change in the coefficient 0.04 affect the function?

Tip: The base in exponential functions determines the rate of growth or decay, with larger bases resulting in faster growth.