The correct answer, based on the problem analysis, is:

**d) (0, 1)**

This is the interval where the function is decreasing, as it moves from the relative maximum at \( x = 0 \) to the relative minimum at \( x = 1 \).

Would you like more details or have any questions? Here are 5 related questions that could further your understanding:

1. How do you determine intervals where a function is increasing or decreasing using the first derivative?
2. What does the first derivative test tell us about relative maxima and minima?
3. How can you determine the concavity of a function using the second derivative?
4. How do relative extrema help in sketching the overall shape of a function?
5. Can you always determine the behavior of a function just by analyzing its critical points?

**Tip:** Always check the sign of the derivative in each interval around critical points to correctly identify where the function increases or decreases.

Understand how to identify intervals where a function decreases using the first derivative test. Explore the solution to a problem involving calculus and function behavior from a relative maximum to a relative minimum.

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