To determine where the function is decreasing, we analyze the given graph:

Analysis:

• The graph appears to have a peak at $x = 0$, suggesting that it increases to the left of $x = 0$ and decreases to the right of $x = 0$.
• Specifically:
  • The function decreases on the interval $(0, \infty)$ because as $x$ increases beyond 0, the value of $y$ decreases.

Answer:

The correct choice is C) $(0, \infty)$.

Do you need further clarification or a detailed explanation of intervals and decreasing functions?

Here are 5 related questions to deepen understanding:

1. What is the definition of a decreasing function mathematically?
2. How do you determine where a function is increasing or decreasing using derivatives?
3. What does it mean for a function to have a critical point, like at $x = 0$?
4. Can you explain the difference between "increasing" and "strictly increasing" functions?
5. How do you graphically identify where a function is constant?

Tip:

To identify where a function is decreasing, look for where the slope of the graph goes downward as you move from left to right.