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To determine where the function \( f(x) \) is decreasing, we need to observe the intervals on the graph where the slope of the curve is negative, meaning the function is sloping downwards as we move from left to right.

From the graph you provided:

- The function is decreasing from approximately \( x = -10 \) to \( x = -2 \) (left side of the curve as it moves downward).
- The function starts decreasing again from \( x = 4 \) to \( x = 10 \) (right side of the curve after it reaches its peak at \( x = 4 \)).

So, the intervals where \( f(x) \) is decreasing are:
\[
(-10, -2) \cup (4, 10)
\]

Would you like further details or have any questions about this? 

Here are 5 related questions for practice:
1. What are the intervals where the function is increasing?
2. Can you identify the relative minimum and maximum points?
3. What is the value of \( f(x) \) at \( x = 0 \)?
4. How would you estimate the average rate of change of the function between \( x = -10 \) and \( x = -2 \)?
5. What kind of symmetry does this function exhibit, if any?

**Tip:** To determine if a function is increasing or decreasing, always check the sign of the derivative or visually inspect where the graph slopes up or down!

Learn how to identify the intervals where a function is decreasing by analyzing the graph. This example uses calculus concepts, including the first derivative test, to find the intervals of decrease. Ideal for students in Grades 10-12.

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