To determine where the graph of $f(x)$ is decreasing, we need to identify the intervals where the slope of the curve is negative, meaning the function is sloping downwards.

From the graph provided, the function appears to be decreasing in the following intervals:

1. From $x \approx -3.5$ to $x \approx -1.5$

   • The graph slopes downward between these points.

2. From $x \approx 1$ to $x \approx 3$

   • The graph also decreases between these points.

Thus, the intervals where the function is decreasing are approximately: $(-3.5, -1.5) \cup (1, 3)$

Would you like more details or have any other questions about this?

Related Questions:

1. How do you find intervals of increase and decrease using calculus?
2. What are critical points and how do they help in determining increasing/decreasing intervals?
3. How would you find intervals of concavity for this graph?
4. What is the significance of local minima in determining decreasing intervals?
5. How do first and second derivatives influence the behavior of a function's graph?

Tip:

To confirm intervals of increase and decrease, you can always take the derivative of the function and analyze where it is positive or negative.