Question

write as function
x y
1
0.25

2
0.0625

3
0.015625

4
0.00390625

Answer 1

Based on the provided values of \(y\) for each \(x\), it seems that \(y\) is a function of \(x\) that follows a specific pattern. Let's analyze the relationship:

We can see the pattern in the values of \(y\):

- When \(x = 1\), \(y = 0.25 = 0.25^1\)
- When \(x = 2\), \(y = 0.0625 = 0.25^2\)
- When \(x = 3\), \(y = 0.015625 = 0.25^3\)
- When \(x = 4\), \(y = 0.00390625 = 0.25^4\)

From this pattern, we can see that \(y\) can be expressed as a function of \(x\):

\[
y = 0.25^x
\]

Now, let’s write this as a function in Python:

```python
def calculate_y(x):
return 0.25 ** x

# Example usage:
x_values = [1, 2, 3, 4]
y_values = [calculate_y(x) for x in x_values]

# Print results
for x, y in zip(x_values, y_values):
print(f"x: {x}, y: {y}")
```

This function, `calculate_y`, takes an integer input \(x\) and returns \(y\) calculated as \(0.25\) raised to the power of \(x\). You can use it to calculate \(y\) for any value of \(x\).